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Commit 24e196930f286ab193de13c9236783662dc75b7d

Authored by daniau 2007-09-14 10:40:40 +0200

1 parent 422234dc32

Exists in master and in 3 other branches

git-svn-id: https://lxsd.femto-st.fr/svn/fvn@18 b657c933-2333-4658-acf2-d3c7c2708721

Showing 2 changed files with 6 additions and 6 deletions Inline Diff

fvn_sparse/UMFPACK/Demo/my_umfpack_zi_demo.out
fvn_sparse/UMFPACK/Demo/my_umfpack_zl_demo.out

fvn_sparse/UMFPACK/Demo/my_umfpack_zi_demo.out

Diff comments View file @ 24e1969

	1	1
UMFPACK V5.1 (May 31, 2007) demo: _zi_ version	2	2	UMFPACK V5.1 (May 31, 2007) demo: _zi_ version
	3	3
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	4	4	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	5	5
	6	6
UMFPACK License:	7	7	UMFPACK License:
	8	8
UMFPACK is available under alternate licenses,	9	9	UMFPACK is available under alternate licenses,
contact T. Davis for details.	10	10	contact T. Davis for details.
	11	11
Your use or distribution of UMFPACK or any modified version of	12	12	Your use or distribution of UMFPACK or any modified version of
UMFPACK implies that you agree to this License.	13	13	UMFPACK implies that you agree to this License.
	14	14
This library is free software; you can redistribute it and/or	15	15	This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public	16	16	modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either	17	17	License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.	18	18	version 2.1 of the License, or (at your option) any later version.
	19	19
This library is distributed in the hope that it will be useful,	20	20	This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of	21	21	but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU	22	22	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.	23	23	Lesser General Public License for more details.
	24	24
You should have received a copy of the GNU Lesser General Public	25	25	You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software	26	26	License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301	27	27	Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301
USA	28	28	USA
	29	29
Permission is hereby granted to use or copy this program under the	30	30	Permission is hereby granted to use or copy this program under the
terms of the GNU LGPL, provided that the Copyright, this License,	31	31	terms of the GNU LGPL, provided that the Copyright, this License,
and the Availability of the original version is retained on all copies.	32	32	and the Availability of the original version is retained on all copies.
User documentation of any code that uses this code or any modified	33	33	User documentation of any code that uses this code or any modified
version of this code must cite the Copyright, this License, the	34	34	version of this code must cite the Copyright, this License, the
Availability note, and "Used by permission." Permission to modify	35	35	Availability note, and "Used by permission." Permission to modify
the code and to distribute modified code is granted, provided the	36	36	the code and to distribute modified code is granted, provided the
Copyright, this License, and the Availability note are retained,	37	37	Copyright, this License, and the Availability note are retained,
and a notice that the code was modified is included.	38	38	and a notice that the code was modified is included.
	39	39
Availability: http://www.cise.ufl.edu/research/sparse/umfpack	40	40	Availability: http://www.cise.ufl.edu/research/sparse/umfpack
	41	41
UMFPACK V5.1.0 (May 31, 2007): OK	42	42	UMFPACK V5.1.0 (May 31, 2007): OK
	43	43
UMFPACK V5.1.0 (May 31, 2007), Control:	44	44	UMFPACK V5.1.0 (May 31, 2007), Control:
Matrix entry defined as: double complex	45	45	Matrix entry defined as: double complex
Int (generic integer) defined as: int	46	46	Int (generic integer) defined as: int
	47	47
0: print level: 5	48	48	0: print level: 5
1: dense row parameter: 0.2	49	49	1: dense row parameter: 0.2
"dense" rows have > max (16, (0.2)16sqrt(n_col) entries)	50	50	"dense" rows have > max (16, (0.2)16sqrt(n_col) entries)
2: dense column parameter: 0.2	51	51	2: dense column parameter: 0.2
"dense" columns have > max (16, (0.2)16sqrt(n_row) entries)	52	52	"dense" columns have > max (16, (0.2)16sqrt(n_row) entries)
3: pivot tolerance: 0.1	53	53	3: pivot tolerance: 0.1
4: block size for dense matrix kernels: 32	54	54	4: block size for dense matrix kernels: 32
5: strategy: 0 (auto)	55	55	5: strategy: 0 (auto)
6: initial allocation ratio: 0.7	56	56	6: initial allocation ratio: 0.7
7: max iterative refinement steps: 2	57	57	7: max iterative refinement steps: 2
12: 2-by-2 pivot tolerance: 0.01	58	58	12: 2-by-2 pivot tolerance: 0.01
13: Q fixed during numerical factorization: 0 (auto)	59	59	13: Q fixed during numerical factorization: 0 (auto)
14: AMD dense row/col parameter: 10	60	60	14: AMD dense row/col parameter: 10
"dense" rows/columns have > max (16, (10)*sqrt(n)) entries	61	61	"dense" rows/columns have > max (16, (10)*sqrt(n)) entries
Only used if the AMD ordering is used.	62	62	Only used if the AMD ordering is used.
15: diagonal pivot tolerance: 0.001	63	63	15: diagonal pivot tolerance: 0.001
Only used if diagonal pivoting is attempted.	64	64	Only used if diagonal pivoting is attempted.
16: scaling: 1 (divide each row by sum of abs. values in each row)	65	65	16: scaling: 1 (divide each row by sum of abs. values in each row)
17: frontal matrix allocation ratio: 0.5	66	66	17: frontal matrix allocation ratio: 0.5
18: drop tolerance: 0	67	67	18: drop tolerance: 0
19: AMD and COLAMD aggressive absorption: 1 (yes)	68	68	19: AMD and COLAMD aggressive absorption: 1 (yes)
	69	69
The following options can only be changed at compile-time:	70	70	The following options can only be changed at compile-time:
8: BLAS library used: Fortran BLAS. size of BLAS integer: 4	71	71	8: BLAS library used: Fortran BLAS. size of BLAS integer: 4
9: compiled for ANSI C	72	72	9: compiled for ANSI C
10: CPU timer is POSIX times ( ) routine.	73	73	10: CPU timer is POSIX times ( ) routine.
11: compiled for normal operation (debugging disabled)	74	74	11: compiled for normal operation (debugging disabled)
computer/operating system: Linux	75	75	computer/operating system: Linux
size of int: 4 UF_long: 8 Int: 4 pointer: 8 double: 8 Entry: 16 (in bytes)	76	76	size of int: 4 UF_long: 8 Int: 4 pointer: 8 double: 8 Entry: 16 (in bytes)
	77	77
	78	78
b: dense vector, n = 5.	79	79	b: dense vector, n = 5.
0 : (8 + 1i)	80	80	0 : (8 + 1i)
1 : (45 - 5i)	81	81	1 : (45 - 5i)
2 : (-3 - 2i)	82	82	2 : (-3 - 2i)
3 : (3 + 0i)	83	83	3 : (3 + 0i)
4 : (19 + 2.2i)	84	84	4 : (19 + 2.2i)
dense vector OK	85	85	dense vector OK
	86	86
	87	87
A: triplet-form matrix, n_row = 5, n_col = 5 nz = 12.	88	88	A: triplet-form matrix, n_row = 5, n_col = 5 nz = 12.
0 : 0 0 (2 + 1i)	89	89	0 : 0 0 (2 + 1i)
1 : 4 4 (1 + 0.4i)	90	90	1 : 4 4 (1 + 0.4i)
2 : 1 0 (3 + 0.1i)	91	91	2 : 1 0 (3 + 0.1i)
3 : 1 2 (4 + 0.2i)	92	92	3 : 1 2 (4 + 0.2i)
4 : 2 1 (-1 - 1i)	93	93	4 : 2 1 (-1 - 1i)
5 : 2 2 (-3 - 0.2i)	94	94	5 : 2 2 (-3 - 0.2i)
6 : 0 1 (3 + 0i)	95	95	6 : 0 1 (3 + 0i)
7 : 1 4 (6 + 6i)	96	96	7 : 1 4 (6 + 6i)
8 : 2 3 (2 + 3i)	97	97	8 : 2 3 (2 + 3i)
9 : 3 2 (1 + 0i)	98	98	9 : 3 2 (1 + 0i)
10 : 4 1 (4 + 0.3i)	99	99	10 : 4 1 (4 + 0.3i)
11 : 4 2 (2 + 0.3i)	100	100	11 : 4 2 (2 + 0.3i)
triplet-form matrix OK	101	101	triplet-form matrix OK
	102	102
	103	103
A: column-form matrix, n_row 5 n_col 5, nz = 12.	104	104	A: column-form matrix, n_row 5 n_col 5, nz = 12.
	105	105
column 0: start: 0 end: 1 entries: 2	106	106	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	107	107	row 0 : (2 + 1i)
row 1 : (3 + 0.1i)	108	108	row 1 : (3 + 0.1i)
	109	109
column 1: start: 2 end: 4 entries: 3	110	110	column 1: start: 2 end: 4 entries: 3
row 0 : (3 + 0i)	111	111	row 0 : (3 + 0i)
row 2 : (-1 - 1i)	112	112	row 2 : (-1 - 1i)
row 4 : (4 + 0.3i)	113	113	row 4 : (4 + 0.3i)
	114	114
column 2: start: 5 end: 8 entries: 4	115	115	column 2: start: 5 end: 8 entries: 4
row 1 : (4 + 0.2i)	116	116	row 1 : (4 + 0.2i)
row 2 : (-3 - 0.2i)	117	117	row 2 : (-3 - 0.2i)
row 3 : (1 + 0i)	118	118	row 3 : (1 + 0i)
row 4 : (2 + 0.3i)	119	119	row 4 : (2 + 0.3i)
	120	120
column 3: start: 9 end: 9 entries: 1	121	121	column 3: start: 9 end: 9 entries: 1
row 2 : (2 + 3i)	122	122	row 2 : (2 + 3i)
	123	123
column 4: start: 10 end: 11 entries: 2	124	124	column 4: start: 10 end: 11 entries: 2
row 1 : (6 + 6i)	125	125	row 1 : (6 + 6i)
row 4 : (1 + 0.4i)	126	126	row 4 : (1 + 0.4i)
column-form matrix OK	127	127	column-form matrix OK
	128	128
	129	129
Symbolic factorization of A: Symbolic object:	130	130	Symbolic factorization of A: Symbolic object:
matrix to be factorized:	131	131	matrix to be factorized:
n_row: 5 n_col: 5	132	132	n_row: 5 n_col: 5
number of entries: 12	133	133	number of entries: 12
block size used for dense matrix kernels: 32	134	134	block size used for dense matrix kernels: 32
strategy used: unsymmetric	135	135	strategy used: unsymmetric
ordering used: colamd on A	136	136	ordering used: colamd on A
	137	137
performn column etree postorder: yes	138	138	performn column etree postorder: yes
prefer diagonal pivoting (attempt P=Q): no	139	139	prefer diagonal pivoting (attempt P=Q): no
variable-size part of Numeric object:	140	140	variable-size part of Numeric object:
minimum initial size (Units): 90 (MBytes): 0.0	141	141	minimum initial size (Units): 90 (MBytes): 0.0
estimated peak size (Units): 2542 (MBytes): 0.0	142	142	estimated peak size (Units): 2542 (MBytes): 0.0
estimated final size (Units): 25 (MBytes): 0.0	143	143	estimated final size (Units): 25 (MBytes): 0.0
symbolic factorization memory usage (Units): 151 (MBytes): 0.0	144	144	symbolic factorization memory usage (Units): 151 (MBytes): 0.0
frontal matrices / supercolumns:	145	145	frontal matrices / supercolumns:
number of frontal chains: 1	146	146	number of frontal chains: 1
number of frontal matrices: 1	147	147	number of frontal matrices: 1
largest frontal matrix row dimension: 3	148	148	largest frontal matrix row dimension: 3
largest frontal matrix column dimension: 3	149	149	largest frontal matrix column dimension: 3
	150	150
Frontal chain: 0. Frontal matrices 0 to 0	151	151	Frontal chain: 0. Frontal matrices 0 to 0
Largest frontal matrix in Frontal chain: 3-by-3	152	152	Largest frontal matrix in Frontal chain: 3-by-3
Front: 0 pivot cols: 3 (pivot columns 0 to 2)	153	153	Front: 0 pivot cols: 3 (pivot columns 0 to 2)
pivot row candidates: 2 to 4	154	154	pivot row candidates: 2 to 4
leftmost descendant: 0	155	155	leftmost descendant: 0
1st new candidate row : 2	156	156	1st new candidate row : 2
parent: (none)	157	157	parent: (none)
	158	158
Initial column permutation, Q1: permutation vector, n = 5.	159	159	Initial column permutation, Q1: permutation vector, n = 5.
0 : 3	160	160	0 : 3
1 : 2	161	161	1 : 2
2 : 0	162	162	2 : 0
3 : 4	163	163	3 : 4
4 : 1	164	164	4 : 1
permutation vector OK	165	165	permutation vector OK
	166	166
	167	167
Initial row permutation, P1: permutation vector, n = 5.	168	168	Initial row permutation, P1: permutation vector, n = 5.
0 : 2	169	169	0 : 2
1 : 3	170	170	1 : 3
2 : 0	171	171	2 : 0
3 : 1	172	172	3 : 1
4 : 4	173	173	4 : 4
permutation vector OK	174	174	permutation vector OK
	175	175
Symbolic object: OK	176	176	Symbolic object: OK
	177	177
	178	178
Numeric factorization of A: Numeric object:	179	179	Numeric factorization of A: Numeric object:
n_row: 5 n_col: 5	180	180	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	181	181	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	182	182	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	183	183	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.00000e+00	184	184	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	185	185	maximum sum (abs (rows of A)): 1.93000e+01
initial allocation parameter used: 0.7	186	186	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	187	187	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 106	188	188	final total size of Numeric object (Units): 106
final total size of Numeric object (MBytes): 0.0	189	189	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 2527	190	190	peak size of variable-size part (Units): 2527
peak size of variable-size part (MBytes): 0.0	191	191	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	192	192	largest actual frontal matrix size: 4
memory defragmentations: 1	193	193	memory defragmentations: 1
memory reallocations: 1	194	194	memory reallocations: 1
costly memory reallocations: 0	195	195	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	196	196	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 4	197	197	number of nonzeros in L (excl diag): 4
number of entries stored in L (excl diag): 2	198	198	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 4	199	199	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	200	200	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	201	201	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	202	202	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.34629e-01	203	203	min abs. value on diagonal of U: 1.34629e-01
max abs. value on diagonal of U: 1.77313e+00	204	204	max abs. value on diagonal of U: 1.77313e+00
reciprocal condition number estimate: 7.59e-02	205	205	reciprocal condition number estimate: 7.59e-02
	206	206
Scale factors applied via multiplication	207	207	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	208	208	Scale factors, Rs: dense vector, n = 5.
0 : (0.166667)	209	209	0 : (0.166667)
1 : (0.0518135)	210	210	1 : (0.0518135)
2 : (0.0980392)	211	211	2 : (0.0980392)
3 : (1)	212	212	3 : (1)
4 : (0.125)	213	213	4 : (0.125)
dense vector OK	214	214	dense vector OK
	215	215
	216	216
P: row permutation vector, n = 5.	217	217	P: row permutation vector, n = 5.
0 : 2	218	218	0 : 2
1 : 3	219	219	1 : 3
2 : 0	220	220	2 : 0
3 : 4	221	221	3 : 4
4 : 1	222	222	4 : 1
permutation vector OK	223	223	permutation vector OK
	224	224
	225	225
Q: column permutation vector, n = 5.	226	226	Q: column permutation vector, n = 5.
0 : 3	227	227	0 : 3
1 : 2	228	228	1 : 2
2 : 0	229	229	2 : 0
3 : 4	230	230	3 : 4
4 : 1	231	231	4 : 1
permutation vector OK	232	232	permutation vector OK
	233	233
	234	234
L in Numeric object, in column-oriented compressed-pattern form:	235	235	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	236	236	Diagonal entries are all equal to 1.0 (not stored)
	237	237
column 0: length 0.	238	238	column 0: length 0.
	239	239
column 1: length 2.	240	240	column 1: length 2.
row 4 : (0.207254 + 0.0103627i)	241	241	row 4 : (0.207254 + 0.0103627i)
row 3 : (0.25 + 0.0375i)	242	242	row 3 : (0.25 + 0.0375i)
	243	243
column 2: add 1 entries. length 1. Start of Lchain.	244	244	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.379275 - 0.174093i)	245	245	row 4 : (0.379275 - 0.174093i)
	246	246
column 3: length 1.	247	247	column 3: length 1.
row 4 : (3.00161 + 1.2864i)	248	248	row 4 : (3.00161 + 1.2864i)
	249	249
column 4: length 0. Start of Lchain.	250	250	column 4: length 0. Start of Lchain.
	251	251
	252	252
U in Numeric object, in row-oriented compressed-pattern form:	253	253	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	254	254	Diagonal is stored separately.
	255	255
row 4: length 0. End of Uchain.	256	256	row 4: length 0. End of Uchain.
	257	257
row 3: length 1. End of Uchain.	258	258	row 3: length 1. End of Uchain.
col 4 : (0.5 + 0.0375i)	259	259	col 4 : (0.5 + 0.0375i)
	260	260
row 2: length 1.	261	261	row 2: length 1.
col 4 : (0.5 + 0i)	262	262	col 4 : (0.5 + 0i)
	263	263
row 1: length 0. End of Uchain.	264	264	row 1: length 0. End of Uchain.
	265	265
row 1: length 0.	266	266	row 1: length 0.
	267	267
row 0: length 2.	268	268	row 0: length 2.
col 1 : (-0.294118 - 0.0196078i)	269	269	col 1 : (-0.294118 - 0.0196078i)
col 4 : (-0.0980392 - 0.0980392i)	270	270	col 4 : (-0.0980392 - 0.0980392i)
	271	271
	272	272
diagonal of U: dense vector, n = 5.	273	273	diagonal of U: dense vector, n = 5.
0 : (0.196078 + 0.294118i)	274	274	0 : (0.196078 + 0.294118i)
1 : (1 + 0i)	275	275	1 : (1 + 0i)
2 : (0.333333 + 0.166667i)	276	276	2 : (0.333333 + 0.166667i)
3 : (0.125 + 0.05i)	277	277	3 : (0.125 + 0.05i)
4 : (-1.6422 - 0.668715i)	278	278	4 : (-1.6422 - 0.668715i)
dense vector OK	279	279	dense vector OK
	280	280
Numeric object: OK	281	281	Numeric object: OK
	282	282
UMFPACK V5.1.0 (May 31, 2007), Info:	283	283	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	284	284	matrix entry defined as: double complex
Int (generic integer) defined as: int	285	285	Int (generic integer) defined as: int
BLAS library used: Fortran BLAS. size of BLAS integer: 4	286	286	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	287	287	MATLAB: no.
CPU timer: POSIX times ( ) routine.	288	288	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	289	289	number of rows in matrix A: 5
number of columns in matrix A: 5	290	290	number of columns in matrix A: 5
entries in matrix A: 12	291	291	entries in matrix A: 12
memory usage reported in: 8-byte Units	292	292	memory usage reported in: 8-byte Units
size of int: 4 bytes	293	293	size of int: 4 bytes
size of UF_long: 8 bytes	294	294	size of UF_long: 8 bytes
size of pointer: 8 bytes	295	295	size of pointer: 8 bytes
size of numerical entry: 16 bytes	296	296	size of numerical entry: 16 bytes
	297	297
strategy used: unsymmetric	298	298	strategy used: unsymmetric
ordering used: colamd on A	299	299	ordering used: colamd on A
modify Q during factorization: yes	300	300	modify Q during factorization: yes
prefer diagonal pivoting: no	301	301	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	302	302	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	303	303	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	304	304	number of "dense" rows: 0
number of "dense" columns: 0	305	305	number of "dense" columns: 0
number of empty rows: 0	306	306	number of empty rows: 0
number of empty columns 0	307	307	number of empty columns 0
submatrix S square and diagonal preserved	308	308	submatrix S square and diagonal preserved
pattern of square submatrix S:	309	309	pattern of square submatrix S:
number rows and columns 3	310	310	number rows and columns 3
symmetry of nonzero pattern: 1.000000	311	311	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	312	312	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	313	313	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	314	314	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	315	315	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	316	316	# of small diagonal entries of S: 1
# unmatched: 0	317	317	# unmatched: 0
symmetry of P2*S: 0.000000	318	318	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	319	319	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	320	320	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	321	321	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	322	322	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 151	323	323	symbolic memory usage (Units): 151
symbolic memory usage (MBytes): 0.0	324	324	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 52	325	325	Symbolic size (Units): 52
Symbolic size (MBytes): 0	326	326	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	327	327	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	328	328	symbolic factorization wallclock time(sec): 0.00
	329	329
matrix scaled: yes (divided each row by sum of abs values in each row)	330	330	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	331	331	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	332	332	maximum sum (abs (rows of A)): 1.93000e+01
	333	333
symbolic/numeric factorization: upper bound actual %	334	334	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	335	335	variable-sized part of Numeric object:
initial size (Units) 90 80 89%	336	336	initial size (Units) 90 80 89%
peak size (Units) 2542 2527 99%	337	337	peak size (Units) 2542 2527 99%
final size (Units) 25 21 84%	338	338	final size (Units) 25 21 84%
Numeric final size (Units) 113 107 95%	339	339	Numeric final size (Units) 113 107 95%
Numeric final size (MBytes) 0.0 0.0 95%	340	340	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 2751 2736 99%	341	341	peak memory usage (Units) 2751 2736 99%
peak memory usage (MBytes) 0.0 0.0 99%	342	342	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	343	343	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	344	344	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	345	345	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	346	346	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	347	347	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	348	348	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	349	349	largest # columns in front 3 2 67%
	350	350
initial allocation ratio used: 0.7	351	351	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	352	352	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	353	353	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	354	354	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	355	355	number of small entries dropped 0
nonzeros on diagonal of U: 5	356	356	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	357	357	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.77e+00	358	358	max abs. value on diagonal of U: 1.77e+00
estimate of reciprocal of condition number: 7.59e-02	359	359	estimate of reciprocal of condition number: 7.59e-02
indices in compressed pattern: 2	360	360	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	361	361	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	362	362	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	363	363	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	364	364	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	365	365	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	366	366	numeric factorization wallclock time (sec): 0.00
	367	367
solve flops: 1.02800e+03	368	368	solve flops: 1.02800e+03
iterative refinement steps taken: 1	369	369	iterative refinement steps taken: 1
iterative refinement steps attempted: 1	370	370	iterative refinement steps attempted: 1
sparse backward error omega1: 5.28e-17	371	371	sparse backward error omega1: 5.28e-17
sparse backward error omega2: 0.00e+00	372	372	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	373	373	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	374	374	solve wall clock time (sec): 0.00
	375	375
total symbolic + numeric + solve flops: 1.06200e+03	376	376	total symbolic + numeric + solve flops: 1.06200e+03
	377	377
	378	378
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	379	379	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	380	380
UMFPACK V5.1.0 (May 31, 2007): OK	381	381	UMFPACK V5.1.0 (May 31, 2007): OK
	382	382
	383	383
x (solution of Ax=b): dense vector, n = 5.	384	384	x (solution of Ax=b): dense vector, n = 5.
0 : (0.121188 - 0.561001i)	385	385	0 : (0.121188 - 0.561001i)
1 : (2.39887 + 0.666938i)	386	386	1 : (2.39887 + 0.666938i)
2 : (3 + 0i)	387	387	2 : (3 + 0i)
3 : (1.57395 - 1.52801i)	388	388	3 : (1.57395 - 1.52801i)
4 : (2.3876 - 3.04245i)	389	389	4 : (2.3876 - 3.04245i)
dense vector OK	390	390	dense vector OK
	391	391
maxnorm of residual: 1.77636e-15	392	392	maxnorm of residual: 1.77636e-15
	393	393
	394	394
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	395	395	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	396	396
UMFPACK V5.1.0 (May 31, 2007): OK	397	397	UMFPACK V5.1.0 (May 31, 2007): OK
	398	398
determinant: (-1.7814+ (2.3784)i) * 10^(2)	399	399	determinant: (-1.7814+ (2.3784)i) * 10^(2)
	400	400
x (solution of Ax=b, solve is split into 3 steps): dense vector, n = 5.	401	401	x (solution of Ax=b, solve is split into 3 steps): dense vector, n = 5.
0 : (0.121188 - 0.561001i)	402	402	0 : (0.121188 - 0.561001i)
1 : (2.39887 + 0.666938i)	403	403	1 : (2.39887 + 0.666938i)
2 : (3 + 0i)	404	404	2 : (3 + 0i)
3 : (1.57395 - 1.52801i)	405	405	3 : (1.57395 - 1.52801i)
4 : (2.3876 - 3.04245i)	406	406	4 : (2.3876 - 3.04245i)
dense vector OK	407	407	dense vector OK
	408	408
maxnorm of residual: 1.77636e-14	409	409	maxnorm of residual: 1.77636e-14
	410	410
UMFPACK V5.1.0 (May 31, 2007), Info:	411	411	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	412	412	matrix entry defined as: double complex
Int (generic integer) defined as: int	413	413	Int (generic integer) defined as: int
BLAS library used: Fortran BLAS. size of BLAS integer: 4	414	414	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	415	415	MATLAB: no.
CPU timer: POSIX times ( ) routine.	416	416	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	417	417	number of rows in matrix A: 5
number of columns in matrix A: 5	418	418	number of columns in matrix A: 5
entries in matrix A: 12	419	419	entries in matrix A: 12
memory usage reported in: 8-byte Units	420	420	memory usage reported in: 8-byte Units
size of int: 4 bytes	421	421	size of int: 4 bytes
size of UF_long: 8 bytes	422	422	size of UF_long: 8 bytes
size of pointer: 8 bytes	423	423	size of pointer: 8 bytes
size of numerical entry: 16 bytes	424	424	size of numerical entry: 16 bytes
	425	425
strategy used: unsymmetric	426	426	strategy used: unsymmetric
ordering used: colamd on A	427	427	ordering used: colamd on A
modify Q during factorization: yes	428	428	modify Q during factorization: yes
prefer diagonal pivoting: no	429	429	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	430	430	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	431	431	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	432	432	number of "dense" rows: 0
number of "dense" columns: 0	433	433	number of "dense" columns: 0
number of empty rows: 0	434	434	number of empty rows: 0
number of empty columns 0	435	435	number of empty columns 0
submatrix S square and diagonal preserved	436	436	submatrix S square and diagonal preserved
pattern of square submatrix S:	437	437	pattern of square submatrix S:
number rows and columns 3	438	438	number rows and columns 3
symmetry of nonzero pattern: 1.000000	439	439	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	440	440	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	441	441	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	442	442	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	443	443	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	444	444	# of small diagonal entries of S: 1
# unmatched: 0	445	445	# unmatched: 0
symmetry of P2*S: 0.000000	446	446	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	447	447	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	448	448	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	449	449	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	450	450	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 151	451	451	symbolic memory usage (Units): 151
symbolic memory usage (MBytes): 0.0	452	452	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 52	453	453	Symbolic size (Units): 52
Symbolic size (MBytes): 0	454	454	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	455	455	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	456	456	symbolic factorization wallclock time(sec): 0.00
	457	457
matrix scaled: yes (divided each row by sum of abs values in each row)	458	458	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	459	459	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	460	460	maximum sum (abs (rows of A)): 1.93000e+01
	461	461
symbolic/numeric factorization: upper bound actual %	462	462	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	463	463	variable-sized part of Numeric object:
initial size (Units) 90 80 89%	464	464	initial size (Units) 90 80 89%
peak size (Units) 2542 2527 99%	465	465	peak size (Units) 2542 2527 99%
final size (Units) 25 21 84%	466	466	final size (Units) 25 21 84%
Numeric final size (Units) 113 107 95%	467	467	Numeric final size (Units) 113 107 95%
Numeric final size (MBytes) 0.0 0.0 95%	468	468	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 2751 2736 99%	469	469	peak memory usage (Units) 2751 2736 99%
peak memory usage (MBytes) 0.0 0.0 99%	470	470	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	471	471	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	472	472	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	473	473	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	474	474	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	475	475	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	476	476	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	477	477	largest # columns in front 3 2 67%
	478	478
initial allocation ratio used: 0.7	479	479	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	480	480	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	481	481	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	482	482	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	483	483	number of small entries dropped 0
nonzeros on diagonal of U: 5	484	484	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	485	485	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.77e+00	486	486	max abs. value on diagonal of U: 1.77e+00
estimate of reciprocal of condition number: 7.59e-02	487	487	estimate of reciprocal of condition number: 7.59e-02
indices in compressed pattern: 2	488	488	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	489	489	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	490	490	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	491	491	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	492	492	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	493	493	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	494	494	numeric factorization wallclock time (sec): 0.00
	495	495
solve flops: 4.80000e+02	496	496	solve flops: 4.80000e+02
iterative refinement steps taken: 0	497	497	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	498	498	iterative refinement steps attempted: 0
sparse backward error omega1: 7.82e-17	499	499	sparse backward error omega1: 7.82e-17
sparse backward error omega2: 0.00e+00	500	500	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	501	501	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	502	502	solve wall clock time (sec): 0.00
	503	503
total symbolic + numeric + solve flops: 5.14000e+02	504	504	total symbolic + numeric + solve flops: 5.14000e+02
	505	505
	506	506
x (solution of A'x=b): dense vector, n = 5.	507	507	x (solution of A'x=b): dense vector, n = 5.
0 : (3.39246 + 0.13257i)	508	508	0 : (3.39246 + 0.13257i)
1 : (0.31463 + 1.38626i)	509	509	1 : (0.31463 + 1.38626i)
2 : (0.461538 + 0.692308i)	510	510	2 : (0.461538 + 0.692308i)
3 : (-20.9089 - 1.55801i)	511	511	3 : (-20.9089 - 1.55801i)
4 : (9.04015 - 0.613724i)	512	512	4 : (9.04015 - 0.613724i)
dense vector OK	513	513	dense vector OK
	514	514
maxnorm of residual: 4.52416e-15	515	515	maxnorm of residual: 4.52416e-15
	516	516
	517	517
changing A (1,4) to zero	518	518	changing A (1,4) to zero
	519	519
modified A: column-form matrix, n_row 5 n_col 5, nz = 12.	520	520	modified A: column-form matrix, n_row 5 n_col 5, nz = 12.
	521	521
column 0: start: 0 end: 1 entries: 2	522	522	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	523	523	row 0 : (2 + 1i)
row 1 : (3 + 0.1i)	524	524	row 1 : (3 + 0.1i)
	525	525
column 1: start: 2 end: 4 entries: 3	526	526	column 1: start: 2 end: 4 entries: 3
row 0 : (3 + 0i)	527	527	row 0 : (3 + 0i)
row 2 : (-1 - 1i)	528	528	row 2 : (-1 - 1i)
row 4 : (4 + 0.3i)	529	529	row 4 : (4 + 0.3i)
	530	530
column 2: start: 5 end: 8 entries: 4	531	531	column 2: start: 5 end: 8 entries: 4
row 1 : (4 + 0.2i)	532	532	row 1 : (4 + 0.2i)
row 2 : (-3 - 0.2i)	533	533	row 2 : (-3 - 0.2i)
row 3 : (1 + 0i)	534	534	row 3 : (1 + 0i)
row 4 : (2 + 0.3i)	535	535	row 4 : (2 + 0.3i)
	536	536
column 3: start: 9 end: 9 entries: 1	537	537	column 3: start: 9 end: 9 entries: 1
row 2 : (2 + 3i)	538	538	row 2 : (2 + 3i)
	539	539
column 4: start: 10 end: 11 entries: 2	540	540	column 4: start: 10 end: 11 entries: 2
row 1 : (0 + 0i)	541	541	row 1 : (0 + 0i)
row 4 : (1 + 0.4i)	542	542	row 4 : (1 + 0.4i)
column-form matrix OK	543	543	column-form matrix OK
	544	544
	545	545
Numeric factorization of modified A: Numeric object:	546	546	Numeric factorization of modified A: Numeric object:
n_row: 5 n_col: 5	547	547	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	548	548	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	549	549	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	550	550	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.00000e+00	551	551	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.02000e+01	552	552	maximum sum (abs (rows of A)): 1.02000e+01
initial allocation parameter used: 0.7	553	553	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	554	554	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 104	555	555	final total size of Numeric object (Units): 104
final total size of Numeric object (MBytes): 0.0	556	556	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 2527	557	557	peak size of variable-size part (Units): 2527
peak size of variable-size part (MBytes): 0.0	558	558	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	559	559	largest actual frontal matrix size: 4
memory defragmentations: 1	560	560	memory defragmentations: 1
memory reallocations: 1	561	561	memory reallocations: 1
costly memory reallocations: 0	562	562	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	563	563	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 3	564	564	number of nonzeros in L (excl diag): 3
number of entries stored in L (excl diag): 1	565	565	number of entries stored in L (excl diag): 1
number of nonzeros in U (excl diag): 4	566	566	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	567	567	number of entries stored in U (excl diag): 2
factorization floating-point operations: 17	568	568	factorization floating-point operations: 17
number of nonzeros on diagonal of U: 5	569	569	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.34629e-01	570	570	min abs. value on diagonal of U: 1.34629e-01
max abs. value on diagonal of U: 1.00000e+00	571	571	max abs. value on diagonal of U: 1.00000e+00
reciprocal condition number estimate: 1.35e-01	572	572	reciprocal condition number estimate: 1.35e-01
	573	573
Scale factors applied via multiplication	574	574	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	575	575	Scale factors, Rs: dense vector, n = 5.
0 : (0.166667)	576	576	0 : (0.166667)
1 : (0.136986)	577	577	1 : (0.136986)
2 : (0.0980392)	578	578	2 : (0.0980392)
3 : (1)	579	579	3 : (1)
4 : (0.125)	580	580	4 : (0.125)
dense vector OK	581	581	dense vector OK
	582	582
	583	583
P: row permutation vector, n = 5.	584	584	P: row permutation vector, n = 5.
0 : 2	585	585	0 : 2
1 : 3	586	586	1 : 3
2 : 0	587	587	2 : 0
3 : 4	588	588	3 : 4
4 : 1	589	589	4 : 1
permutation vector OK	590	590	permutation vector OK
	591	591
	592	592
Q: column permutation vector, n = 5.	593	593	Q: column permutation vector, n = 5.
0 : 3	594	594	0 : 3
1 : 2	595	595	1 : 2
2 : 0	596	596	2 : 0
3 : 4	597	597	3 : 4
4 : 1	598	598	4 : 1
permutation vector OK	599	599	permutation vector OK
	600	600
	601	601
L in Numeric object, in column-oriented compressed-pattern form:	602	602	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	603	603	Diagonal entries are all equal to 1.0 (not stored)
	604	604
column 0: length 0.	605	605	column 0: length 0.
	606	606
column 1: length 2.	607	607	column 1: length 2.
row 4 : (0.547945 + 0.0273973i)	608	608	row 4 : (0.547945 + 0.0273973i)
row 3 : (0.25 + 0.0375i)	609	609	row 3 : (0.25 + 0.0375i)
	610	610
column 2: add 1 entries. length 1. Start of Lchain.	611	611	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (1.00274 - 0.460274i)	612	612	row 4 : (1.00274 - 0.460274i)
	613	613
column 3: length 0. Start of Lchain.	614	614	column 3: length 0. Start of Lchain.
	615	615
column 4: length 0. Start of Lchain.	616	616	column 4: length 0. Start of Lchain.
	617	617
	618	618
U in Numeric object, in row-oriented compressed-pattern form:	619	619	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	620	620	Diagonal is stored separately.
	621	621
row 4: length 0. End of Uchain.	622	622	row 4: length 0. End of Uchain.
	623	623
row 3: length 1. End of Uchain.	624	624	row 3: length 1. End of Uchain.
col 4 : (0.5 + 0.0375i)	625	625	col 4 : (0.5 + 0.0375i)
	626	626
row 2: length 1.	627	627	row 2: length 1.
col 4 : (0.5 + 0i)	628	628	col 4 : (0.5 + 0i)
	629	629
row 1: length 0. End of Uchain.	630	630	row 1: length 0. End of Uchain.
	631	631
row 1: length 0.	632	632	row 1: length 0.
	633	633
row 0: length 2.	634	634	row 0: length 2.
col 1 : (-0.294118 - 0.0196078i)	635	635	col 1 : (-0.294118 - 0.0196078i)
col 4 : (-0.0980392 - 0.0980392i)	636	636	col 4 : (-0.0980392 - 0.0980392i)
	637	637
	638	638
diagonal of U: dense vector, n = 5.	639	639	diagonal of U: dense vector, n = 5.
0 : (0.196078 + 0.294118i)	640	640	0 : (0.196078 + 0.294118i)
1 : (1 + 0i)	641	641	1 : (1 + 0i)
2 : (0.333333 + 0.166667i)	642	642	2 : (0.333333 + 0.166667i)
3 : (0.125 + 0.05i)	643	643	3 : (0.125 + 0.05i)
4 : (-0.50137 + 0.230137i)	644	644	4 : (-0.50137 + 0.230137i)
dense vector OK	645	645	dense vector OK
	646	646
Numeric object: OK	647	647	Numeric object: OK
	648	648
UMFPACK V5.1.0 (May 31, 2007), Info:	649	649	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	650	650	matrix entry defined as: double complex
Int (generic integer) defined as: int	651	651	Int (generic integer) defined as: int
BLAS library used: Fortran BLAS. size of BLAS integer: 4	652	652	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	653	653	MATLAB: no.
CPU timer: POSIX times ( ) routine.	654	654	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	655	655	number of rows in matrix A: 5
number of columns in matrix A: 5	656	656	number of columns in matrix A: 5
entries in matrix A: 12	657	657	entries in matrix A: 12
memory usage reported in: 8-byte Units	658	658	memory usage reported in: 8-byte Units
size of int: 4 bytes	659	659	size of int: 4 bytes
size of UF_long: 8 bytes	660	660	size of UF_long: 8 bytes
size of pointer: 8 bytes	661	661	size of pointer: 8 bytes
size of numerical entry: 16 bytes	662	662	size of numerical entry: 16 bytes
	663	663
strategy used: unsymmetric	664	664	strategy used: unsymmetric
ordering used: colamd on A	665	665	ordering used: colamd on A
modify Q during factorization: yes	666	666	modify Q during factorization: yes
prefer diagonal pivoting: no	667	667	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	668	668	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	669	669	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	670	670	number of "dense" rows: 0
number of "dense" columns: 0	671	671	number of "dense" columns: 0
number of empty rows: 0	672	672	number of empty rows: 0
number of empty columns 0	673	673	number of empty columns 0
submatrix S square and diagonal preserved	674	674	submatrix S square and diagonal preserved
pattern of square submatrix S:	675	675	pattern of square submatrix S:
number rows and columns 3	676	676	number rows and columns 3
symmetry of nonzero pattern: 1.000000	677	677	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	678	678	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	679	679	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	680	680	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	681	681	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	682	682	# of small diagonal entries of S: 1
# unmatched: 0	683	683	# unmatched: 0
symmetry of P2*S: 0.000000	684	684	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	685	685	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	686	686	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	687	687	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	688	688	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 151	689	689	symbolic memory usage (Units): 151
symbolic memory usage (MBytes): 0.0	690	690	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 52	691	691	Symbolic size (Units): 52
Symbolic size (MBytes): 0	692	692	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	693	693	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	694	694	symbolic factorization wallclock time(sec): 0.00
	695	695
matrix scaled: yes (divided each row by sum of abs values in each row)	696	696	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	697	697	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.02000e+01	698	698	maximum sum (abs (rows of A)): 1.02000e+01
	699	699
symbolic/numeric factorization: upper bound actual %	700	700	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	701	701	variable-sized part of Numeric object:
initial size (Units) 90 80 89%	702	702	initial size (Units) 90 80 89%
peak size (Units) 2542 2527 99%	703	703	peak size (Units) 2542 2527 99%
final size (Units) 25 19 76%	704	704	final size (Units) 25 19 76%
Numeric final size (Units) 113 105 93%	705	705	Numeric final size (Units) 113 105 93%
Numeric final size (MBytes) 0.0 0.0 93%	706	706	Numeric final size (MBytes) 0.0 0.0 93%
peak memory usage (Units) 2751 2736 99%	707	707	peak memory usage (Units) 2751 2736 99%
peak memory usage (MBytes) 0.0 0.0 99%	708	708	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 1.70000e+01 25%	709	709	numeric factorization flops 6.70000e+01 1.70000e+01 25%
nz in L (incl diagonal) 10 8 80%	710	710	nz in L (incl diagonal) 10 8 80%
nz in U (incl diagonal) 10 9 90%	711	711	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 12 80%	712	712	nz in L+U (incl diagonal) 15 12 80%
largest front (# entries) 9 4 44%	713	713	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	714	714	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	715	715	largest # columns in front 3 2 67%
	716	716
initial allocation ratio used: 0.7	717	717	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	718	718	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 8	719	719	nz in L (incl diagonal), if none dropped 8
nz in U (incl diagonal), if none dropped 9	720	720	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	721	721	number of small entries dropped 0
nonzeros on diagonal of U: 5	722	722	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	723	723	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.00e+00	724	724	max abs. value on diagonal of U: 1.00e+00
estimate of reciprocal of condition number: 1.35e-01	725	725	estimate of reciprocal of condition number: 1.35e-01
indices in compressed pattern: 2	726	726	indices in compressed pattern: 2
numerical values stored in Numeric object: 8	727	727	numerical values stored in Numeric object: 8
numeric factorization defragmentations: 1	728	728	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	729	729	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	730	730	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	731	731	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	732	732	numeric factorization wallclock time (sec): 0.00
	733	733
solve flops: 5.15000e+02	734	734	solve flops: 5.15000e+02
iterative refinement steps taken: 0	735	735	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	736	736	iterative refinement steps attempted: 0
sparse backward error omega1: 6.01e-17	737	737	sparse backward error omega1: 6.01e-17
sparse backward error omega2: 0.00e+00	738	738	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	739	739	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	740	740	solve wall clock time (sec): 0.00
	741	741
total symbolic + numeric + solve flops: 5.32000e+02	742	742	total symbolic + numeric + solve flops: 5.32000e+02
	743	743
	744	744
x (with modified A): dense vector, n = 5.	745	745	x (with modified A): dense vector, n = 5.
0 : (10.9256 - 2.23085i)	746	746	0 : (10.9256 - 2.23085i)
1 : (-5.36071 - 1.82131i)	747	747	1 : (-5.36071 - 1.82131i)
2 : (3 + 0i)	748	748	2 : (3 + 0i)
3 : (-1.60191 - 1.88814i)	749	749	3 : (-1.60191 - 1.88814i)
4 : (32.7361 - 2.90097i)	750	750	4 : (32.7361 - 2.90097i)
dense vector OK	751	751	dense vector OK
	752	752
maxnorm of residual: 4.66294e-15	753	753	maxnorm of residual: 4.66294e-15
	754	754
changing real part of A (0,0) from 2 to 2	755	755	changing real part of A (0,0) from 2 to 2
changing real part of A (1,0) from 3 to 2	756	756	changing real part of A (1,0) from 3 to 2
changing real part of A (0,1) from 3 to 13	757	757	changing real part of A (0,1) from 3 to 13
changing real part of A (2,1) from -1 to 7	758	758	changing real part of A (2,1) from -1 to 7
changing real part of A (4,1) from 4 to 10	759	759	changing real part of A (4,1) from 4 to 10
changing real part of A (1,2) from 4 to 23	760	760	changing real part of A (1,2) from 4 to 23
changing real part of A (2,2) from -3 to 15	761	761	changing real part of A (2,2) from -3 to 15
changing real part of A (3,2) from 1 to 18	762	762	changing real part of A (3,2) from 1 to 18
changing real part of A (4,2) from 2 to 18	763	763	changing real part of A (4,2) from 2 to 18
changing real part of A (2,3) from 2 to 30	764	764	changing real part of A (2,3) from 2 to 30
changing real part of A (1,4) from 0 to 39	765	765	changing real part of A (1,4) from 0 to 39
changing real part of A (4,4) from 1 to 37	766	766	changing real part of A (4,4) from 1 to 37
	767	767
completely modified A (same pattern): column-form matrix, n_row 5 n_col 5, nz = 12.	768	768	completely modified A (same pattern): column-form matrix, n_row 5 n_col 5, nz = 12.
	769	769
column 0: start: 0 end: 1 entries: 2	770	770	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	771	771	row 0 : (2 + 1i)
row 1 : (2 + 0.1i)	772	772	row 1 : (2 + 0.1i)
	773	773
column 1: start: 2 end: 4 entries: 3	774	774	column 1: start: 2 end: 4 entries: 3
row 0 : (13 + 0i)	775	775	row 0 : (13 + 0i)
row 2 : (7 - 1i)	776	776	row 2 : (7 - 1i)
row 4 : (10 + 0.3i)	777	777	row 4 : (10 + 0.3i)
	778	778
column 2: start: 5 end: 8 entries: 4	779	779	column 2: start: 5 end: 8 entries: 4
row 1 : (23 + 0.2i)	780	780	row 1 : (23 + 0.2i)
row 2 : (15 - 0.2i)	781	781	row 2 : (15 - 0.2i)
row 3 : (18 + 0i)	782	782	row 3 : (18 + 0i)
row 4 : (18 + 0.3i)	783	783	row 4 : (18 + 0.3i)
	784	784
column 3: start: 9 end: 9 entries: 1	785	785	column 3: start: 9 end: 9 entries: 1
row 2 : (30 + 3i)	786	786	row 2 : (30 + 3i)
	787	787
column 4: start: 10 end: 11 entries: 2	788	788	column 4: start: 10 end: 11 entries: 2
row 1 : (39 + 0i)	789	789	row 1 : (39 + 0i)
row 4 : (37 + 0.4i)	790	790	row 4 : (37 + 0.4i)
column-form matrix OK	791	791	column-form matrix OK
	792	792
	793	793
Saving symbolic object:	794	794	Saving symbolic object:
	795	795
Freeing symbolic object:	796	796	Freeing symbolic object:
	797	797
Loading symbolic object:	798	798	Loading symbolic object:
	799	799
Done loading symbolic object	800	800	Done loading symbolic object
	801	801
Numeric factorization of completely modified A: Numeric object:	802	802	Numeric factorization of completely modified A: Numeric object:
n_row: 5 n_col: 5	803	803	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	804	804	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	805	805	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	806	806	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.60000e+01	807	807	minimum sum (abs (rows of A)): 1.60000e+01
maximum sum (abs (rows of A)): 6.60000e+01	808	808	maximum sum (abs (rows of A)): 6.60000e+01
initial allocation parameter used: 0.7	809	809	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	810	810	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 106	811	811	final total size of Numeric object (Units): 106
final total size of Numeric object (MBytes): 0.0	812	812	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 2527	813	813	peak size of variable-size part (Units): 2527
peak size of variable-size part (MBytes): 0.0	814	814	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	815	815	largest actual frontal matrix size: 4
memory defragmentations: 1	816	816	memory defragmentations: 1
memory reallocations: 1	817	817	memory reallocations: 1
costly memory reallocations: 0	818	818	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	819	819	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 4	820	820	number of nonzeros in L (excl diag): 4
number of entries stored in L (excl diag): 2	821	821	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 4	822	822	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	823	823	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	824	824	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	825	825	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.39754e-01	826	826	min abs. value on diagonal of U: 1.39754e-01
max abs. value on diagonal of U: 1.00000e+00	827	827	max abs. value on diagonal of U: 1.00000e+00
reciprocal condition number estimate: 1.40e-01	828	828	reciprocal condition number estimate: 1.40e-01
	829	829
Scale factors applied via multiplication	830	830	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	831	831	Scale factors, Rs: dense vector, n = 5.
0 : (0.0625)	832	832	0 : (0.0625)
1 : (0.0155521)	833	833	1 : (0.0155521)
2 : (0.0177936)	834	834	2 : (0.0177936)
3 : (0.0555556)	835	835	3 : (0.0555556)
4 : (0.0151515)	836	836	4 : (0.0151515)
dense vector OK	837	837	dense vector OK
	838	838
	839	839
P: row permutation vector, n = 5.	840	840	P: row permutation vector, n = 5.
0 : 2	841	841	0 : 2
1 : 3	842	842	1 : 3
2 : 0	843	843	2 : 0
3 : 4	844	844	3 : 4
4 : 1	845	845	4 : 1
permutation vector OK	846	846	permutation vector OK
	847	847
	848	848
Q: column permutation vector, n = 5.	849	849	Q: column permutation vector, n = 5.
0 : 3	850	850	0 : 3
1 : 2	851	851	1 : 2
2 : 0	852	852	2 : 0
3 : 4	853	853	3 : 4
4 : 1	854	854	4 : 1
permutation vector OK	855	855	permutation vector OK
	856	856
	857	857
L in Numeric object, in column-oriented compressed-pattern form:	858	858	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	859	859	Diagonal entries are all equal to 1.0 (not stored)
	860	860
column 0: length 0.	861	861	column 0: length 0.
	862	862
column 1: length 2.	863	863	column 1: length 2.
row 4 : (0.357698 + 0.00311042i)	864	864	row 4 : (0.357698 + 0.00311042i)
row 3 : (0.272727 + 0.00454545i)	865	865	row 3 : (0.272727 + 0.00454545i)
	866	866
column 2: add 1 entries. length 1. Start of Lchain.	867	867	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.204044 - 0.0895801i)	868	868	row 4 : (0.204044 - 0.0895801i)
	869	869
column 3: length 1.	870	870	column 3: length 1.
row 4 : (1.0818 - 0.0116951i)	871	871	row 4 : (1.0818 - 0.0116951i)
	872	872
column 4: length 0. Start of Lchain.	873	873	column 4: length 0. Start of Lchain.
	874	874
	875	875
U in Numeric object, in row-oriented compressed-pattern form:	876	876	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	877	877	Diagonal is stored separately.
	878	878
row 4: length 0. End of Uchain.	879	879	row 4: length 0. End of Uchain.
	880	880
row 3: length 1. End of Uchain.	881	881	row 3: length 1. End of Uchain.
col 4 : (0.151515 + 0.00454545i)	882	882	col 4 : (0.151515 + 0.00454545i)
	883	883
row 2: length 1.	884	884	row 2: length 1.
col 4 : (0.8125 + 0i)	885	885	col 4 : (0.8125 + 0i)
	886	886
row 1: length 0. End of Uchain.	887	887	row 1: length 0. End of Uchain.
	888	888
row 1: length 0.	889	889	row 1: length 0.
	890	890
row 0: length 2.	891	891	row 0: length 2.
col 1 : (0.266904 - 0.00355872i)	892	892	col 1 : (0.266904 - 0.00355872i)
col 4 : (0.124555 - 0.0177936i)	893	893	col 4 : (0.124555 - 0.0177936i)
	894	894
	895	895
diagonal of U: dense vector, n = 5.	896	896	diagonal of U: dense vector, n = 5.
0 : (0.533808 + 0.0533808i)	897	897	0 : (0.533808 + 0.0533808i)
1 : (1 + 0i)	898	898	1 : (1 + 0i)
2 : (0.125 + 0.0625i)	899	899	2 : (0.125 + 0.0625i)
3 : (0.560606 + 0.00606061i)	900	900	3 : (0.560606 + 0.00606061i)
4 : (-0.329747 + 0.0696386i)	901	901	4 : (-0.329747 + 0.0696386i)
dense vector OK	902	902	dense vector OK
	903	903
Numeric object: OK	904	904	Numeric object: OK
	905	905
UMFPACK V5.1.0 (May 31, 2007), Info:	906	906	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	907	907	matrix entry defined as: double complex
Int (generic integer) defined as: int	908	908	Int (generic integer) defined as: int
BLAS library used: Fortran BLAS. size of BLAS integer: 4	909	909	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	910	910	MATLAB: no.
CPU timer: POSIX times ( ) routine.	911	911	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	912	912	number of rows in matrix A: 5
number of columns in matrix A: 5	913	913	number of columns in matrix A: 5
entries in matrix A: 12	914	914	entries in matrix A: 12
memory usage reported in: 8-byte Units	915	915	memory usage reported in: 8-byte Units
size of int: 4 bytes	916	916	size of int: 4 bytes
size of UF_long: 8 bytes	917	917	size of UF_long: 8 bytes
size of pointer: 8 bytes	918	918	size of pointer: 8 bytes
size of numerical entry: 16 bytes	919	919	size of numerical entry: 16 bytes
	920	920
strategy used: unsymmetric	921	921	strategy used: unsymmetric
ordering used: colamd on A	922	922	ordering used: colamd on A
modify Q during factorization: yes	923	923	modify Q during factorization: yes
prefer diagonal pivoting: no	924	924	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	925	925	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	926	926	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	927	927	number of "dense" rows: 0
number of "dense" columns: 0	928	928	number of "dense" columns: 0
number of empty rows: 0	929	929	number of empty rows: 0
number of empty columns 0	930	930	number of empty columns 0
submatrix S square and diagonal preserved	931	931	submatrix S square and diagonal preserved
pattern of square submatrix S:	932	932	pattern of square submatrix S:
number rows and columns 3	933	933	number rows and columns 3
symmetry of nonzero pattern: 1.000000	934	934	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	935	935	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	936	936	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	937	937	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	938	938	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	939	939	# of small diagonal entries of S: 1
# unmatched: 0	940	940	# unmatched: 0
symmetry of P2*S: 0.000000	941	941	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	942	942	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	943	943	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	944	944	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	945	945	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 151	946	946	symbolic memory usage (Units): 151
symbolic memory usage (MBytes): 0.0	947	947	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 52	948	948	Symbolic size (Units): 52
Symbolic size (MBytes): 0	949	949	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	950	950	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	951	951	symbolic factorization wallclock time(sec): 0.00
	952	952
matrix scaled: yes (divided each row by sum of abs values in each row)	953	953	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.60000e+01	954	954	minimum sum (abs (rows of A)): 1.60000e+01
maximum sum (abs (rows of A)): 6.60000e+01	955	955	maximum sum (abs (rows of A)): 6.60000e+01
	956	956
symbolic/numeric factorization: upper bound actual %	957	957	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	958	958	variable-sized part of Numeric object:
initial size (Units) 90 80 89%	959	959	initial size (Units) 90 80 89%
peak size (Units) 2542 2527 99%	960	960	peak size (Units) 2542 2527 99%
final size (Units) 25 21 84%	961	961	final size (Units) 25 21 84%
Numeric final size (Units) 113 107 95%	962	962	Numeric final size (Units) 113 107 95%
Numeric final size (MBytes) 0.0 0.0 95%	963	963	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 2751 2736 99%	964	964	peak memory usage (Units) 2751 2736 99%
peak memory usage (MBytes) 0.0 0.0 99%	965	965	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	966	966	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	967	967	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	968	968	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	969	969	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	970	970	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	971	971	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	972	972	largest # columns in front 3 2 67%
	973	973
initial allocation ratio used: 0.7	974	974	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	975	975	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	976	976	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	977	977	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	978	978	number of small entries dropped 0
nonzeros on diagonal of U: 5	979	979	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.40e-01	980	980	min abs. value on diagonal of U: 1.40e-01
max abs. value on diagonal of U: 1.00e+00	981	981	max abs. value on diagonal of U: 1.00e+00
estimate of reciprocal of condition number: 1.40e-01	982	982	estimate of reciprocal of condition number: 1.40e-01
indices in compressed pattern: 2	983	983	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	984	984	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	985	985	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	986	986	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	987	987	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	988	988	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	989	989	numeric factorization wallclock time (sec): 0.00
	990	990
solve flops: 5.23000e+02	991	991	solve flops: 5.23000e+02
iterative refinement steps taken: 0	992	992	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	993	993	iterative refinement steps attempted: 0
sparse backward error omega1: 8.05e-17	994	994	sparse backward error omega1: 8.05e-17
sparse backward error omega2: 0.00e+00	995	995	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	996	996	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	997	997	solve wall clock time (sec): 0.00
	998	998
total symbolic + numeric + solve flops: 5.57000e+02	999	999	total symbolic + numeric + solve flops: 5.57000e+02
	1000	1000
	1001	1001
x (with completely modified A): dense vector, n = 5.	1002	1002	x (with completely modified A): dense vector, n = 5.
0 : (7.56307 - 3.68974i)	1003	1003	0 : (7.56307 - 3.68974i)
1 : (-0.831991 + 0.0627998i)	1004	1004	1 : (-0.831991 + 0.0627998i)
2 : (0.166667 + 0i)	1005	1005	2 : (0.166667 + 0i)
3 : (-0.00206892 - 0.107735i)	1006	1006	3 : (-0.00206892 - 0.107735i)
4 : (0.658245 + 0.0407649i)	1007	1007	4 : (0.658245 + 0.0407649i)
dense vector OK	1008	1008	dense vector OK
	1009	1009
maxnorm of residual: 9.10383e-15	1010	1010	maxnorm of residual: 9.10383e-15
	1011	1011
	1012	1012
C (transpose of A): column-form matrix, n_row 5 n_col 5, nz = 12.	1013	1013	C (transpose of A): column-form matrix, n_row 5 n_col 5, nz = 12.
	1014	1014
column 0: start: 0 end: 1 entries: 2	1015	1015	column 0: start: 0 end: 1 entries: 2
row 0 : (2 - 1i)	1016	1016	row 0 : (2 - 1i)
row 1 : (13 + 0i)	1017	1017	row 1 : (13 + 0i)
	1018	1018
column 1: start: 2 end: 4 entries: 3	1019	1019	column 1: start: 2 end: 4 entries: 3
row 0 : (2 - 0.1i)	1020	1020	row 0 : (2 - 0.1i)
row 2 : (23 - 0.2i)	1021	1021	row 2 : (23 - 0.2i)
row 4 : (39 + 0i)	1022	1022	row 4 : (39 + 0i)
	1023	1023
column 2: start: 5 end: 7 entries: 3	1024	1024	column 2: start: 5 end: 7 entries: 3
row 1 : (7 + 1i)	1025	1025	row 1 : (7 + 1i)
row 2 : (15 + 0.2i)	1026	1026	row 2 : (15 + 0.2i)
row 3 : (30 - 3i)	1027	1027	row 3 : (30 - 3i)
	1028	1028
column 3: start: 8 end: 8 entries: 1	1029	1029	column 3: start: 8 end: 8 entries: 1
row 2 : (18 + 0i)	1030	1030	row 2 : (18 + 0i)
	1031	1031
column 4: start: 9 end: 11 entries: 3	1032	1032	column 4: start: 9 end: 11 entries: 3
row 1 : (10 - 0.3i)	1033	1033	row 1 : (10 - 0.3i)
row 2 : (18 - 0.3i)	1034	1034	row 2 : (18 - 0.3i)
row 4 : (37 - 0.4i)	1035	1035	row 4 : (37 - 0.4i)
column-form matrix OK	1036	1036	column-form matrix OK
	1037	1037
	1038	1038
Symbolic factorization of C: Symbolic object:	1039	1039	Symbolic factorization of C: Symbolic object:
matrix to be factorized:	1040	1040	matrix to be factorized:
n_row: 5 n_col: 5	1041	1041	n_row: 5 n_col: 5
number of entries: 12	1042	1042	number of entries: 12
block size used for dense matrix kernels: 32	1043	1043	block size used for dense matrix kernels: 32
strategy used: unsymmetric	1044	1044	strategy used: unsymmetric
ordering used: colamd on A	1045	1045	ordering used: colamd on A
	1046	1046
performn column etree postorder: yes	1047	1047	performn column etree postorder: yes
prefer diagonal pivoting (attempt P=Q): no	1048	1048	prefer diagonal pivoting (attempt P=Q): no
variable-size part of Numeric object:	1049	1049	variable-size part of Numeric object:
minimum initial size (Units): 91 (MBytes): 0.0	1050	1050	minimum initial size (Units): 91 (MBytes): 0.0
estimated peak size (Units): 2543 (MBytes): 0.0	1051	1051	estimated peak size (Units): 2543 (MBytes): 0.0
estimated final size (Units): 26 (MBytes): 0.0	1052	1052	estimated final size (Units): 26 (MBytes): 0.0
symbolic factorization memory usage (Units): 151 (MBytes): 0.0	1053	1053	symbolic factorization memory usage (Units): 151 (MBytes): 0.0
frontal matrices / supercolumns:	1054	1054	frontal matrices / supercolumns:
number of frontal chains: 1	1055	1055	number of frontal chains: 1
number of frontal matrices: 1	1056	1056	number of frontal matrices: 1
largest frontal matrix row dimension: 3	1057	1057	largest frontal matrix row dimension: 3
largest frontal matrix column dimension: 3	1058	1058	largest frontal matrix column dimension: 3
	1059	1059
Frontal chain: 0. Frontal matrices 0 to 0	1060	1060	Frontal chain: 0. Frontal matrices 0 to 0
Largest frontal matrix in Frontal chain: 3-by-3	1061	1061	Largest frontal matrix in Frontal chain: 3-by-3
Front: 0 pivot cols: 3 (pivot columns 0 to 2)	1062	1062	Front: 0 pivot cols: 3 (pivot columns 0 to 2)
pivot row candidates: 2 to 4	1063	1063	pivot row candidates: 2 to 4
leftmost descendant: 0	1064	1064	leftmost descendant: 0
1st new candidate row : 2	1065	1065	1st new candidate row : 2
parent: (none)	1066	1066	parent: (none)
	1067	1067
Initial column permutation, Q1: permutation vector, n = 5.	1068	1068	Initial column permutation, Q1: permutation vector, n = 5.
0 : 3	1069	1069	0 : 3
1 : 2	1070	1070	1 : 2
2 : 0	1071	1071	2 : 0
3 : 4	1072	1072	3 : 4
4 : 1	1073	1073	4 : 1
permutation vector OK	1074	1074	permutation vector OK
	1075	1075
	1076	1076
Initial row permutation, P1: permutation vector, n = 5.	1077	1077	Initial row permutation, P1: permutation vector, n = 5.
0 : 2	1078	1078	0 : 2
1 : 3	1079	1079	1 : 3
2 : 0	1080	1080	2 : 0
3 : 1	1081	1081	3 : 1
4 : 4	1082	1082	4 : 4
permutation vector OK	1083	1083	permutation vector OK
	1084	1084
Symbolic object: OK	1085	1085	Symbolic object: OK
	1086	1086
	1087	1087
Get the contents of the Symbolic object for C:	1088	1088	Get the contents of the Symbolic object for C:
(compare with umfpack_zi_report_symbolic output, above)	1089	1089	(compare with umfpack_zi_report_symbolic output, above)
From the Symbolic object, C is of dimension 5-by-5	1090	1090	From the Symbolic object, C is of dimension 5-by-5
with nz = 12, number of fronts = 1,	1091	1091	with nz = 12, number of fronts = 1,
number of frontal matrix chains = 1	1092	1092	number of frontal matrix chains = 1
	1093	1093
Pivot columns in each front, and parent of each front:	1094	1094	Pivot columns in each front, and parent of each front:
Front 0: parent front: -1 number of pivot cols: 3	1095	1095	Front 0: parent front: -1 number of pivot cols: 3
0-th pivot column is column 3 in original matrix	1096	1096	0-th pivot column is column 3 in original matrix
1-th pivot column is column 2 in original matrix	1097	1097	1-th pivot column is column 2 in original matrix
2-th pivot column is column 0 in original matrix	1098	1098	2-th pivot column is column 0 in original matrix
	1099	1099
Note that the column ordering, above, will be refined	1100	1100	Note that the column ordering, above, will be refined
in the numeric factorization below. The assignment of pivot	1101	1101	in the numeric factorization below. The assignment of pivot
columns to frontal matrices will always remain unchanged.	1102	1102	columns to frontal matrices will always remain unchanged.
	1103	1103
Total number of pivot columns in frontal matrices: 3	1104	1104	Total number of pivot columns in frontal matrices: 3
	1105	1105
Frontal matrix chains:	1106	1106	Frontal matrix chains:
Frontal matrices 0 to 0 are factorized in a single	1107	1107	Frontal matrices 0 to 0 are factorized in a single
working array of size 3-by-3	1108	1108	working array of size 3-by-3
	1109	1109
Numeric factorization of C: Numeric object:	1110	1110	Numeric factorization of C: Numeric object:
n_row: 5 n_col: 5	1111	1111	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	1112	1112	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	1113	1113	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	1114	1114	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 5.10000e+00	1115	1115	minimum sum (abs (rows of A)): 5.10000e+00
maximum sum (abs (rows of A)): 7.64000e+01	1116	1116	maximum sum (abs (rows of A)): 7.64000e+01
initial allocation parameter used: 0.7	1117	1117	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	1118	1118	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 107	1119	1119	final total size of Numeric object (Units): 107
final total size of Numeric object (MBytes): 0.0	1120	1120	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 2528	1121	1121	peak size of variable-size part (Units): 2528
peak size of variable-size part (MBytes): 0.0	1122	1122	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	1123	1123	largest actual frontal matrix size: 4
memory defragmentations: 1	1124	1124	memory defragmentations: 1
memory reallocations: 1	1125	1125	memory reallocations: 1
costly memory reallocations: 0	1126	1126	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	1127	1127	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 3	1128	1128	number of nonzeros in L (excl diag): 3
number of entries stored in L (excl diag): 2	1129	1129	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 5	1130	1130	number of nonzeros in U (excl diag): 5
number of entries stored in U (excl diag): 2	1131	1131	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	1132	1132	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	1133	1133	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 2.40964e-01	1134	1134	min abs. value on diagonal of U: 2.40964e-01
max abs. value on diagonal of U: 9.13625e-01	1135	1135	max abs. value on diagonal of U: 9.13625e-01
reciprocal condition number estimate: 2.64e-01	1136	1136	reciprocal condition number estimate: 2.64e-01
	1137	1137
Scale factors applied via multiplication	1138	1138	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	1139	1139	Scale factors, Rs: dense vector, n = 5.
0 : (0.196078)	1140	1140	0 : (0.196078)
1 : (0.0319489)	1141	1141	1 : (0.0319489)
2 : (0.0133869)	1142	1142	2 : (0.0133869)
3 : (0.030303)	1143	1143	3 : (0.030303)
4 : (0.013089)	1144	1144	4 : (0.013089)
dense vector OK	1145	1145	dense vector OK
	1146	1146
	1147	1147
P: row permutation vector, n = 5.	1148	1148	P: row permutation vector, n = 5.
0 : 2	1149	1149	0 : 2
1 : 3	1150	1150	1 : 3
2 : 0	1151	1151	2 : 0
3 : 4	1152	1152	3 : 4
4 : 1	1153	1153	4 : 1
permutation vector OK	1154	1154	permutation vector OK
	1155	1155
	1156	1156
Q: column permutation vector, n = 5.	1157	1157	Q: column permutation vector, n = 5.
0 : 3	1158	1158	0 : 3
1 : 2	1159	1159	1 : 2
2 : 0	1160	1160	2 : 0
3 : 4	1161	1161	3 : 4
4 : 1	1162	1162	4 : 1
permutation vector OK	1163	1163	permutation vector OK
	1164	1164
	1165	1165
L in Numeric object, in column-oriented compressed-pattern form:	1166	1166	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	1167	1167	Diagonal entries are all equal to 1.0 (not stored)
	1168	1168
column 0: length 0.	1169	1169	column 0: length 0.
	1170	1170
column 1: length 1.	1171	1171	column 1: length 1.
row 4 : (0.240091 + 0.0591529i)	1172	1172	row 4 : (0.240091 + 0.0591529i)
	1173	1173
column 2: add 1 entries. length 1. Start of Lchain.	1174	1174	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.847284 + 0.423642i)	1175	1175	row 4 : (0.847284 + 0.423642i)
	1176	1176
column 3: length 1.	1177	1177	column 3: length 1.
row 4 : (0.659838 - 0.0126577i)	1178	1178	row 4 : (0.659838 - 0.0126577i)
	1179	1179
column 4: length 0. Start of Lchain.	1180	1180	column 4: length 0. Start of Lchain.
	1181	1181
	1182	1182
U in Numeric object, in row-oriented compressed-pattern form:	1183	1183	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	1184	1184	Diagonal is stored separately.
	1185	1185
row 4: length 0. End of Uchain.	1186	1186	row 4: length 0. End of Uchain.
	1187	1187
row 3: length 1. End of Uchain.	1188	1188	row 3: length 1. End of Uchain.
col 4 : (0.510471 + 0i)	1189	1189	col 4 : (0.510471 + 0i)
	1190	1190
row 2: length 1.	1191	1191	row 2: length 1.
col 4 : (0.392157 - 0.0196078i)	1192	1192	col 4 : (0.392157 - 0.0196078i)
	1193	1193
row 1: length 0. End of Uchain.	1194	1194	row 1: length 0. End of Uchain.
	1195	1195
row 1: length 0.	1196	1196	row 1: length 0.
	1197	1197
row 0: length 3.	1198	1198	row 0: length 3.
col 1 : (0.200803 + 0.00267738i)	1199	1199	col 1 : (0.200803 + 0.00267738i)
col 3 : (0.240964 - 0.00401606i)	1200	1200	col 3 : (0.240964 - 0.00401606i)
col 4 : (0.307898 - 0.00267738i)	1201	1201	col 4 : (0.307898 - 0.00267738i)
	1202	1202
	1203	1203
diagonal of U: dense vector, n = 5.	1204	1204	diagonal of U: dense vector, n = 5.
0 : (0.240964 + 0i)	1205	1205	0 : (0.240964 + 0i)
1 : (0.909091 - 0.0909091i)	1206	1206	1 : (0.909091 - 0.0909091i)
2 : (0.392157 - 0.196078i)	1207	1207	2 : (0.392157 - 0.196078i)
3 : (0.484293 - 0.0052356i)	1208	1208	3 : (0.484293 - 0.0052356i)
4 : (-0.677403 - 0.143059i)	1209	1209	4 : (-0.677403 - 0.143059i)
dense vector OK	1210	1210	dense vector OK
	1211	1211
Numeric object: OK	1212	1212	Numeric object: OK
	1213	1213
	1214	1214
L (lower triangular factor of C): row-form matrix, n_row 5 n_col 5, nz = 8.	1215	1215	L (lower triangular factor of C): row-form matrix, n_row 5 n_col 5, nz = 8.
	1216	1216
row 0: start: 0 end: 0 entries: 1	1217	1217	row 0: start: 0 end: 0 entries: 1
column 0 : (1 + 0i)	1218	1218	column 0 : (1 + 0i)
	1219	1219
row 1: start: 1 end: 1 entries: 1	1220	1220	row 1: start: 1 end: 1 entries: 1
column 1 : (1 + 0i)	1221	1221	column 1 : (1 + 0i)
	1222	1222
row 2: start: 2 end: 2 entries: 1	1223	1223	row 2: start: 2 end: 2 entries: 1
column 2 : (1 + 0i)	1224	1224	column 2 : (1 + 0i)
	1225	1225
row 3: start: 3 end: 3 entries: 1	1226	1226	row 3: start: 3 end: 3 entries: 1
column 3 : (1 + 0i)	1227	1227	column 3 : (1 + 0i)
	1228	1228
row 4: start: 4 end: 7 entries: 4	1229	1229	row 4: start: 4 end: 7 entries: 4
column 1 : (0.240091 + 0.0591529i)	1230	1230	column 1 : (0.240091 + 0.0591529i)
column 2 : (0.847284 + 0.423642i)	1231	1231	column 2 : (0.847284 + 0.423642i)
column 3 : (0.659838 - 0.0126577i)	1232	1232	column 3 : (0.659838 - 0.0126577i)
column 4 : (1 + 0i)	1233	1233	column 4 : (1 + 0i)
row-form matrix OK	1234	1234	row-form matrix OK
	1235	1235
	1236	1236
U (upper triangular factor of C): column-form matrix, n_row 5 n_col 5, nz = 10.	1237	1237	U (upper triangular factor of C): column-form matrix, n_row 5 n_col 5, nz = 10.
	1238	1238
column 0: start: 0 end: 0 entries: 1	1239	1239	column 0: start: 0 end: 0 entries: 1
row 0 : (0.240964 + 0i)	1240	1240	row 0 : (0.240964 + 0i)
	1241	1241
column 1: start: 1 end: 2 entries: 2	1242	1242	column 1: start: 1 end: 2 entries: 2
row 0 : (0.200803 + 0.00267738i)	1243	1243	row 0 : (0.200803 + 0.00267738i)
row 1 : (0.909091 - 0.0909091i)	1244	1244	row 1 : (0.909091 - 0.0909091i)
	1245	1245
column 2: start: 3 end: 3 entries: 1	1246	1246	column 2: start: 3 end: 3 entries: 1
row 2 : (0.392157 - 0.196078i)	1247	1247	row 2 : (0.392157 - 0.196078i)
	1248	1248
column 3: start: 4 end: 5 entries: 2	1249	1249	column 3: start: 4 end: 5 entries: 2
row 0 : (0.240964 - 0.00401606i)	1250	1250	row 0 : (0.240964 - 0.00401606i)
row 3 : (0.484293 - 0.0052356i)	1251	1251	row 3 : (0.484293 - 0.0052356i)
	1252	1252
column 4: start: 6 end: 9 entries: 4	1253	1253	column 4: start: 6 end: 9 entries: 4

fvn_sparse/UMFPACK/Demo/my_umfpack_zl_demo.out

Diff comments View file @ 24e1969

	1	1
UMFPACK V5.1 (May 31, 2007) demo: _zl_ version	2	2	UMFPACK V5.1 (May 31, 2007) demo: _zl_ version
	3	3
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	4	4	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	5	5
	6	6
UMFPACK License:	7	7	UMFPACK License:
	8	8
UMFPACK is available under alternate licenses,	9	9	UMFPACK is available under alternate licenses,
contact T. Davis for details.	10	10	contact T. Davis for details.
	11	11
Your use or distribution of UMFPACK or any modified version of	12	12	Your use or distribution of UMFPACK or any modified version of
UMFPACK implies that you agree to this License.	13	13	UMFPACK implies that you agree to this License.
	14	14
This library is free software; you can redistribute it and/or	15	15	This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public	16	16	modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either	17	17	License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.	18	18	version 2.1 of the License, or (at your option) any later version.
	19	19
This library is distributed in the hope that it will be useful,	20	20	This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of	21	21	but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU	22	22	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.	23	23	Lesser General Public License for more details.
	24	24
You should have received a copy of the GNU Lesser General Public	25	25	You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software	26	26	License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301	27	27	Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301
USA	28	28	USA
	29	29
Permission is hereby granted to use or copy this program under the	30	30	Permission is hereby granted to use or copy this program under the
terms of the GNU LGPL, provided that the Copyright, this License,	31	31	terms of the GNU LGPL, provided that the Copyright, this License,
and the Availability of the original version is retained on all copies.	32	32	and the Availability of the original version is retained on all copies.
User documentation of any code that uses this code or any modified	33	33	User documentation of any code that uses this code or any modified
version of this code must cite the Copyright, this License, the	34	34	version of this code must cite the Copyright, this License, the
Availability note, and "Used by permission." Permission to modify	35	35	Availability note, and "Used by permission." Permission to modify
the code and to distribute modified code is granted, provided the	36	36	the code and to distribute modified code is granted, provided the
Copyright, this License, and the Availability note are retained,	37	37	Copyright, this License, and the Availability note are retained,
and a notice that the code was modified is included.	38	38	and a notice that the code was modified is included.
	39	39
Availability: http://www.cise.ufl.edu/research/sparse/umfpack	40	40	Availability: http://www.cise.ufl.edu/research/sparse/umfpack
	41	41
UMFPACK V5.1.0 (May 31, 2007): OK	42	42	UMFPACK V5.1.0 (May 31, 2007): OK
	43	43
UMFPACK V5.1.0 (May 31, 2007), Control:	44	44	UMFPACK V5.1.0 (May 31, 2007), Control:
Matrix entry defined as: double complex	45	45	Matrix entry defined as: double complex
Int (generic integer) defined as: UF_long	46	46	Int (generic integer) defined as: UF_long
	47	47
0: print level: 5	48	48	0: print level: 5
1: dense row parameter: 0.2	49	49	1: dense row parameter: 0.2
"dense" rows have > max (16, (0.2)16sqrt(n_col) entries)	50	50	"dense" rows have > max (16, (0.2)16sqrt(n_col) entries)
2: dense column parameter: 0.2	51	51	2: dense column parameter: 0.2
"dense" columns have > max (16, (0.2)16sqrt(n_row) entries)	52	52	"dense" columns have > max (16, (0.2)16sqrt(n_row) entries)
3: pivot tolerance: 0.1	53	53	3: pivot tolerance: 0.1
4: block size for dense matrix kernels: 32	54	54	4: block size for dense matrix kernels: 32
5: strategy: 0 (auto)	55	55	5: strategy: 0 (auto)
6: initial allocation ratio: 0.7	56	56	6: initial allocation ratio: 0.7
7: max iterative refinement steps: 2	57	57	7: max iterative refinement steps: 2
12: 2-by-2 pivot tolerance: 0.01	58	58	12: 2-by-2 pivot tolerance: 0.01
13: Q fixed during numerical factorization: 0 (auto)	59	59	13: Q fixed during numerical factorization: 0 (auto)
14: AMD dense row/col parameter: 10	60	60	14: AMD dense row/col parameter: 10
"dense" rows/columns have > max (16, (10)*sqrt(n)) entries	61	61	"dense" rows/columns have > max (16, (10)*sqrt(n)) entries
Only used if the AMD ordering is used.	62	62	Only used if the AMD ordering is used.
15: diagonal pivot tolerance: 0.001	63	63	15: diagonal pivot tolerance: 0.001
Only used if diagonal pivoting is attempted.	64	64	Only used if diagonal pivoting is attempted.
16: scaling: 1 (divide each row by sum of abs. values in each row)	65	65	16: scaling: 1 (divide each row by sum of abs. values in each row)
17: frontal matrix allocation ratio: 0.5	66	66	17: frontal matrix allocation ratio: 0.5
18: drop tolerance: 0	67	67	18: drop tolerance: 0
19: AMD and COLAMD aggressive absorption: 1 (yes)	68	68	19: AMD and COLAMD aggressive absorption: 1 (yes)
	69	69
The following options can only be changed at compile-time:	70	70	The following options can only be changed at compile-time:
8: BLAS library used: Fortran BLAS. size of BLAS integer: 4	71	71	8: BLAS library used: Fortran BLAS. size of BLAS integer: 4
9: compiled for ANSI C	72	72	9: compiled for ANSI C
10: CPU timer is POSIX times ( ) routine.	73	73	10: CPU timer is POSIX times ( ) routine.
11: compiled for normal operation (debugging disabled)	74	74	11: compiled for normal operation (debugging disabled)
computer/operating system: Linux	75	75	computer/operating system: Linux
size of int: 4 UF_long: 8 Int: 8 pointer: 8 double: 8 Entry: 16 (in bytes)	76	76	size of int: 4 UF_long: 8 Int: 8 pointer: 8 double: 8 Entry: 16 (in bytes)
	77	77
	78	78
b: dense vector, n = 5.	79	79	b: dense vector, n = 5.
0 : (8 + 1i)	80	80	0 : (8 + 1i)
1 : (45 - 5i)	81	81	1 : (45 - 5i)
2 : (-3 - 2i)	82	82	2 : (-3 - 2i)
3 : (3 + 0i)	83	83	3 : (3 + 0i)
4 : (19 + 2.2i)	84	84	4 : (19 + 2.2i)
dense vector OK	85	85	dense vector OK
	86	86
	87	87
A: triplet-form matrix, n_row = 5, n_col = 5 nz = 12.	88	88	A: triplet-form matrix, n_row = 5, n_col = 5 nz = 12.
0 : 0 0 (2 + 1i)	89	89	0 : 0 0 (2 + 1i)
1 : 4 4 (1 + 0.4i)	90	90	1 : 4 4 (1 + 0.4i)
2 : 1 0 (3 + 0.1i)	91	91	2 : 1 0 (3 + 0.1i)
3 : 1 2 (4 + 0.2i)	92	92	3 : 1 2 (4 + 0.2i)
4 : 2 1 (-1 - 1i)	93	93	4 : 2 1 (-1 - 1i)
5 : 2 2 (-3 - 0.2i)	94	94	5 : 2 2 (-3 - 0.2i)
6 : 0 1 (3 + 0i)	95	95	6 : 0 1 (3 + 0i)
7 : 1 4 (6 + 6i)	96	96	7 : 1 4 (6 + 6i)
8 : 2 3 (2 + 3i)	97	97	8 : 2 3 (2 + 3i)
9 : 3 2 (1 + 0i)	98	98	9 : 3 2 (1 + 0i)
10 : 4 1 (4 + 0.3i)	99	99	10 : 4 1 (4 + 0.3i)
11 : 4 2 (2 + 0.3i)	100	100	11 : 4 2 (2 + 0.3i)
triplet-form matrix OK	101	101	triplet-form matrix OK
	102	102
	103	103
A: column-form matrix, n_row 5 n_col 5, nz = 12.	104	104	A: column-form matrix, n_row 5 n_col 5, nz = 12.
	105	105
column 0: start: 0 end: 1 entries: 2	106	106	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	107	107	row 0 : (2 + 1i)
row 1 : (3 + 0.1i)	108	108	row 1 : (3 + 0.1i)
	109	109
column 1: start: 2 end: 4 entries: 3	110	110	column 1: start: 2 end: 4 entries: 3
row 0 : (3 + 0i)	111	111	row 0 : (3 + 0i)
row 2 : (-1 - 1i)	112	112	row 2 : (-1 - 1i)
row 4 : (4 + 0.3i)	113	113	row 4 : (4 + 0.3i)
	114	114
column 2: start: 5 end: 8 entries: 4	115	115	column 2: start: 5 end: 8 entries: 4
row 1 : (4 + 0.2i)	116	116	row 1 : (4 + 0.2i)
row 2 : (-3 - 0.2i)	117	117	row 2 : (-3 - 0.2i)
row 3 : (1 + 0i)	118	118	row 3 : (1 + 0i)
row 4 : (2 + 0.3i)	119	119	row 4 : (2 + 0.3i)
	120	120
column 3: start: 9 end: 9 entries: 1	121	121	column 3: start: 9 end: 9 entries: 1
row 2 : (2 + 3i)	122	122	row 2 : (2 + 3i)
	123	123
column 4: start: 10 end: 11 entries: 2	124	124	column 4: start: 10 end: 11 entries: 2
row 1 : (6 + 6i)	125	125	row 1 : (6 + 6i)
row 4 : (1 + 0.4i)	126	126	row 4 : (1 + 0.4i)
column-form matrix OK	127	127	column-form matrix OK
	128	128
	129	129
Symbolic factorization of A: Symbolic object:	130	130	Symbolic factorization of A: Symbolic object:
matrix to be factorized:	131	131	matrix to be factorized:
n_row: 5 n_col: 5	132	132	n_row: 5 n_col: 5
number of entries: 12	133	133	number of entries: 12
block size used for dense matrix kernels: 32	134	134	block size used for dense matrix kernels: 32
strategy used: unsymmetric	135	135	strategy used: unsymmetric
ordering used: colamd on A	136	136	ordering used: colamd on A
	137	137
performn column etree postorder: yes	138	138	performn column etree postorder: yes
prefer diagonal pivoting (attempt P=Q): no	139	139	prefer diagonal pivoting (attempt P=Q): no
variable-size part of Numeric object:	140	140	variable-size part of Numeric object:
minimum initial size (Units): 74 (MBytes): 0.0	141	141	minimum initial size (Units): 74 (MBytes): 0.0
estimated peak size (Units): 1301 (MBytes): 0.0	142	142	estimated peak size (Units): 1301 (MBytes): 0.0
estimated final size (Units): 15 (MBytes): 0.0	143	143	estimated final size (Units): 15 (MBytes): 0.0
symbolic factorization memory usage (Units): 138 (MBytes): 0.0	144	144	symbolic factorization memory usage (Units): 138 (MBytes): 0.0
frontal matrices / supercolumns:	145	145	frontal matrices / supercolumns:
number of frontal chains: 1	146	146	number of frontal chains: 1
number of frontal matrices: 1	147	147	number of frontal matrices: 1
largest frontal matrix row dimension: 3	148	148	largest frontal matrix row dimension: 3
largest frontal matrix column dimension: 3	149	149	largest frontal matrix column dimension: 3
	150	150
Frontal chain: 0. Frontal matrices 0 to 0	151	151	Frontal chain: 0. Frontal matrices 0 to 0
Largest frontal matrix in Frontal chain: 3-by-3	152	152	Largest frontal matrix in Frontal chain: 3-by-3
Front: 0 pivot cols: 3 (pivot columns 0 to 2)	153	153	Front: 0 pivot cols: 3 (pivot columns 0 to 2)
pivot row candidates: 2 to 4	154	154	pivot row candidates: 2 to 4
leftmost descendant: 0	155	155	leftmost descendant: 0
1st new candidate row : 2	156	156	1st new candidate row : 2
parent: (none)	157	157	parent: (none)
	158	158
Initial column permutation, Q1: permutation vector, n = 5.	159	159	Initial column permutation, Q1: permutation vector, n = 5.
0 : 3	160	160	0 : 3
1 : 2	161	161	1 : 2
2 : 0	162	162	2 : 0
3 : 4	163	163	3 : 4
4 : 1	164	164	4 : 1
permutation vector OK	165	165	permutation vector OK
	166	166
	167	167
Initial row permutation, P1: permutation vector, n = 5.	168	168	Initial row permutation, P1: permutation vector, n = 5.
0 : 2	169	169	0 : 2
1 : 3	170	170	1 : 3
2 : 0	171	171	2 : 0
3 : 1	172	172	3 : 1
4 : 4	173	173	4 : 4
permutation vector OK	174	174	permutation vector OK
	175	175
Symbolic object: OK	176	176	Symbolic object: OK
	177	177
	178	178
Numeric factorization of A: Numeric object:	179	179	Numeric factorization of A: Numeric object:
n_row: 5 n_col: 5	180	180	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	181	181	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	182	182	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	183	183	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.00000e+00	184	184	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	185	185	maximum sum (abs (rows of A)): 1.93000e+01
initial allocation parameter used: 0.7	186	186	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	187	187	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 74	188	188	final total size of Numeric object (Units): 74
final total size of Numeric object (MBytes): 0.0	189	189	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 1292	190	190	peak size of variable-size part (Units): 1292
peak size of variable-size part (MBytes): 0.0	191	191	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	192	192	largest actual frontal matrix size: 4
memory defragmentations: 1	193	193	memory defragmentations: 1
memory reallocations: 1	194	194	memory reallocations: 1
costly memory reallocations: 0	195	195	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	196	196	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 4	197	197	number of nonzeros in L (excl diag): 4
number of entries stored in L (excl diag): 2	198	198	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 4	199	199	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	200	200	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	201	201	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	202	202	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.34629e-01	203	203	min abs. value on diagonal of U: 1.34629e-01
max abs. value on diagonal of U: 1.77313e+00	204	204	max abs. value on diagonal of U: 1.77313e+00
reciprocal condition number estimate: 7.59e-02	205	205	reciprocal condition number estimate: 7.59e-02
	206	206
Scale factors applied via multiplication	207	207	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	208	208	Scale factors, Rs: dense vector, n = 5.
0 : (0.166667)	209	209	0 : (0.166667)
1 : (0.0518135)	210	210	1 : (0.0518135)
2 : (0.0980392)	211	211	2 : (0.0980392)
3 : (1)	212	212	3 : (1)
4 : (0.125)	213	213	4 : (0.125)
dense vector OK	214	214	dense vector OK
	215	215
	216	216
P: row permutation vector, n = 5.	217	217	P: row permutation vector, n = 5.
0 : 2	218	218	0 : 2
1 : 3	219	219	1 : 3
2 : 0	220	220	2 : 0
3 : 4	221	221	3 : 4
4 : 1	222	222	4 : 1
permutation vector OK	223	223	permutation vector OK
	224	224
	225	225
Q: column permutation vector, n = 5.	226	226	Q: column permutation vector, n = 5.
0 : 3	227	227	0 : 3
1 : 2	228	228	1 : 2
2 : 0	229	229	2 : 0
3 : 4	230	230	3 : 4
4 : 1	231	231	4 : 1
permutation vector OK	232	232	permutation vector OK
	233	233
	234	234
L in Numeric object, in column-oriented compressed-pattern form:	235	235	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	236	236	Diagonal entries are all equal to 1.0 (not stored)
	237	237
column 0: length 0.	238	238	column 0: length 0.
	239	239
column 1: length 2.	240	240	column 1: length 2.
row 4 : (0.207254 + 0.0103627i)	241	241	row 4 : (0.207254 + 0.0103627i)
row 3 : (0.25 + 0.0375i)	242	242	row 3 : (0.25 + 0.0375i)
	243	243
column 2: add 1 entries. length 1. Start of Lchain.	244	244	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.379275 - 0.174093i)	245	245	row 4 : (0.379275 - 0.174093i)
	246	246
column 3: length 1.	247	247	column 3: length 1.
row 4 : (3.00161 + 1.2864i)	248	248	row 4 : (3.00161 + 1.2864i)
	249	249
column 4: length 0. Start of Lchain.	250	250	column 4: length 0. Start of Lchain.
	251	251
	252	252
U in Numeric object, in row-oriented compressed-pattern form:	253	253	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	254	254	Diagonal is stored separately.
	255	255
row 4: length 0. End of Uchain.	256	256	row 4: length 0. End of Uchain.
	257	257
row 3: length 1. End of Uchain.	258	258	row 3: length 1. End of Uchain.
col 4 : (0.5 + 0.0375i)	259	259	col 4 : (0.5 + 0.0375i)
	260	260
row 2: length 1.	261	261	row 2: length 1.
col 4 : (0.5 + 0i)	262	262	col 4 : (0.5 + 0i)
	263	263
row 1: length 0. End of Uchain.	264	264	row 1: length 0. End of Uchain.
	265	265
row 1: length 0.	266	266	row 1: length 0.
	267	267
row 0: length 2.	268	268	row 0: length 2.
col 1 : (-0.294118 - 0.0196078i)	269	269	col 1 : (-0.294118 - 0.0196078i)
col 4 : (-0.0980392 - 0.0980392i)	270	270	col 4 : (-0.0980392 - 0.0980392i)
	271	271
	272	272
diagonal of U: dense vector, n = 5.	273	273	diagonal of U: dense vector, n = 5.
0 : (0.196078 + 0.294118i)	274	274	0 : (0.196078 + 0.294118i)
1 : (1 + 0i)	275	275	1 : (1 + 0i)
2 : (0.333333 + 0.166667i)	276	276	2 : (0.333333 + 0.166667i)
3 : (0.125 + 0.05i)	277	277	3 : (0.125 + 0.05i)
4 : (-1.6422 - 0.668715i)	278	278	4 : (-1.6422 - 0.668715i)
dense vector OK	279	279	dense vector OK
	280	280
Numeric object: OK	281	281	Numeric object: OK
	282	282
UMFPACK V5.1.0 (May 31, 2007), Info:	283	283	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	284	284	matrix entry defined as: double complex
Int (generic integer) defined as: UF_long	285	285	Int (generic integer) defined as: UF_long
BLAS library used: Fortran BLAS. size of BLAS integer: 4	286	286	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	287	287	MATLAB: no.
CPU timer: POSIX times ( ) routine.	288	288	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	289	289	number of rows in matrix A: 5
number of columns in matrix A: 5	290	290	number of columns in matrix A: 5
entries in matrix A: 12	291	291	entries in matrix A: 12
memory usage reported in: 16-byte Units	292	292	memory usage reported in: 16-byte Units
size of int: 4 bytes	293	293	size of int: 4 bytes
size of UF_long: 8 bytes	294	294	size of UF_long: 8 bytes
size of pointer: 8 bytes	295	295	size of pointer: 8 bytes
size of numerical entry: 16 bytes	296	296	size of numerical entry: 16 bytes
	297	297
strategy used: unsymmetric	298	298	strategy used: unsymmetric
ordering used: colamd on A	299	299	ordering used: colamd on A
modify Q during factorization: yes	300	300	modify Q during factorization: yes
prefer diagonal pivoting: no	301	301	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	302	302	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	303	303	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	304	304	number of "dense" rows: 0
number of "dense" columns: 0	305	305	number of "dense" columns: 0
number of empty rows: 0	306	306	number of empty rows: 0
number of empty columns 0	307	307	number of empty columns 0
submatrix S square and diagonal preserved	308	308	submatrix S square and diagonal preserved
pattern of square submatrix S:	309	309	pattern of square submatrix S:
number rows and columns 3	310	310	number rows and columns 3
symmetry of nonzero pattern: 1.000000	311	311	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	312	312	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	313	313	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	314	314	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	315	315	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	316	316	# of small diagonal entries of S: 1
# unmatched: 0	317	317	# unmatched: 0
symmetry of P2*S: 0.000000	318	318	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	319	319	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	320	320	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	321	321	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	322	322	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 138	323	323	symbolic memory usage (Units): 138
symbolic memory usage (MBytes): 0.0	324	324	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 41	325	325	Symbolic size (Units): 41
Symbolic size (MBytes): 0	326	326	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	327	327	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	328	328	symbolic factorization wallclock time(sec): 0.01
	329	329
matrix scaled: yes (divided each row by sum of abs values in each row)	330	330	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	331	331	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	332	332	maximum sum (abs (rows of A)): 1.93000e+01
	333	333
symbolic/numeric factorization: upper bound actual %	334	334	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	335	335	variable-sized part of Numeric object:
initial size (Units) 74 69 93%	336	336	initial size (Units) 74 69 93%
peak size (Units) 1301 1292 99%	337	337	peak size (Units) 1301 1292 99%
final size (Units) 15 13 87%	338	338	final size (Units) 15 13 87%
Numeric final size (Units) 79 75 95%	339	339	Numeric final size (Units) 79 75 95%
Numeric final size (MBytes) 0.0 0.0 95%	340	340	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 1463 1454 99%	341	341	peak memory usage (Units) 1463 1454 99%
peak memory usage (MBytes) 0.0 0.0 99%	342	342	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	343	343	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	344	344	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	345	345	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	346	346	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	347	347	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	348	348	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	349	349	largest # columns in front 3 2 67%
	350	350
initial allocation ratio used: 0.7	351	351	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	352	352	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	353	353	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	354	354	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	355	355	number of small entries dropped 0
nonzeros on diagonal of U: 5	356	356	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	357	357	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.77e+00	358	358	max abs. value on diagonal of U: 1.77e+00
estimate of reciprocal of condition number: 7.59e-02	359	359	estimate of reciprocal of condition number: 7.59e-02
indices in compressed pattern: 2	360	360	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	361	361	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	362	362	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	363	363	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	364	364	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	365	365	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	366	366	numeric factorization wallclock time (sec): 0.00
	367	367
solve flops: 1.02800e+03	368	368	solve flops: 1.02800e+03
iterative refinement steps taken: 1	369	369	iterative refinement steps taken: 1
iterative refinement steps attempted: 1	370	370	iterative refinement steps attempted: 1
sparse backward error omega1: 5.28e-17	371	371	sparse backward error omega1: 5.28e-17
sparse backward error omega2: 0.00e+00	372	372	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	373	373	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	374	374	solve wall clock time (sec): 0.00
	375	375
total symbolic + numeric + solve flops: 1.06200e+03	376	376	total symbolic + numeric + solve flops: 1.06200e+03
	377	377
	378	378
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	379	379	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	380	380
UMFPACK V5.1.0 (May 31, 2007): OK	381	381	UMFPACK V5.1.0 (May 31, 2007): OK
	382	382
	383	383
x (solution of Ax=b): dense vector, n = 5.	384	384	x (solution of Ax=b): dense vector, n = 5.
0 : (0.121188 - 0.561001i)	385	385	0 : (0.121188 - 0.561001i)
1 : (2.39887 + 0.666938i)	386	386	1 : (2.39887 + 0.666938i)
2 : (3 + 0i)	387	387	2 : (3 + 0i)
3 : (1.57395 - 1.52801i)	388	388	3 : (1.57395 - 1.52801i)
4 : (2.3876 - 3.04245i)	389	389	4 : (2.3876 - 3.04245i)
dense vector OK	390	390	dense vector OK
	391	391
maxnorm of residual: 1.77636e-15	392	392	maxnorm of residual: 1.77636e-15
	393	393
	394	394
UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.	395	395	UMFPACK: Copyright (c) 2005-2006 by Timothy A. Davis. All Rights Reserved.
	396	396
UMFPACK V5.1.0 (May 31, 2007): OK	397	397	UMFPACK V5.1.0 (May 31, 2007): OK
	398	398
determinant: (-1.7814+ (2.3784)i) * 10^(2)	399	399	determinant: (-1.7814+ (2.3784)i) * 10^(2)
	400	400
x (solution of Ax=b, solve is split into 3 steps): dense vector, n = 5.	401	401	x (solution of Ax=b, solve is split into 3 steps): dense vector, n = 5.
0 : (0.121188 - 0.561001i)	402	402	0 : (0.121188 - 0.561001i)
1 : (2.39887 + 0.666938i)	403	403	1 : (2.39887 + 0.666938i)
2 : (3 + 0i)	404	404	2 : (3 + 0i)
3 : (1.57395 - 1.52801i)	405	405	3 : (1.57395 - 1.52801i)
4 : (2.3876 - 3.04245i)	406	406	4 : (2.3876 - 3.04245i)
dense vector OK	407	407	dense vector OK
	408	408
maxnorm of residual: 1.77636e-14	409	409	maxnorm of residual: 1.77636e-14
	410	410
UMFPACK V5.1.0 (May 31, 2007), Info:	411	411	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	412	412	matrix entry defined as: double complex
Int (generic integer) defined as: UF_long	413	413	Int (generic integer) defined as: UF_long
BLAS library used: Fortran BLAS. size of BLAS integer: 4	414	414	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	415	415	MATLAB: no.
CPU timer: POSIX times ( ) routine.	416	416	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	417	417	number of rows in matrix A: 5
number of columns in matrix A: 5	418	418	number of columns in matrix A: 5
entries in matrix A: 12	419	419	entries in matrix A: 12
memory usage reported in: 16-byte Units	420	420	memory usage reported in: 16-byte Units
size of int: 4 bytes	421	421	size of int: 4 bytes
size of UF_long: 8 bytes	422	422	size of UF_long: 8 bytes
size of pointer: 8 bytes	423	423	size of pointer: 8 bytes
size of numerical entry: 16 bytes	424	424	size of numerical entry: 16 bytes
	425	425
strategy used: unsymmetric	426	426	strategy used: unsymmetric
ordering used: colamd on A	427	427	ordering used: colamd on A
modify Q during factorization: yes	428	428	modify Q during factorization: yes
prefer diagonal pivoting: no	429	429	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	430	430	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	431	431	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	432	432	number of "dense" rows: 0
number of "dense" columns: 0	433	433	number of "dense" columns: 0
number of empty rows: 0	434	434	number of empty rows: 0
number of empty columns 0	435	435	number of empty columns 0
submatrix S square and diagonal preserved	436	436	submatrix S square and diagonal preserved
pattern of square submatrix S:	437	437	pattern of square submatrix S:
number rows and columns 3	438	438	number rows and columns 3
symmetry of nonzero pattern: 1.000000	439	439	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	440	440	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	441	441	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	442	442	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	443	443	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	444	444	# of small diagonal entries of S: 1
# unmatched: 0	445	445	# unmatched: 0
symmetry of P2*S: 0.000000	446	446	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	447	447	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	448	448	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	449	449	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	450	450	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 138	451	451	symbolic memory usage (Units): 138
symbolic memory usage (MBytes): 0.0	452	452	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 41	453	453	Symbolic size (Units): 41
Symbolic size (MBytes): 0	454	454	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	455	455	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	456	456	symbolic factorization wallclock time(sec): 0.01
	457	457
matrix scaled: yes (divided each row by sum of abs values in each row)	458	458	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	459	459	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.93000e+01	460	460	maximum sum (abs (rows of A)): 1.93000e+01
	461	461
symbolic/numeric factorization: upper bound actual %	462	462	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	463	463	variable-sized part of Numeric object:
initial size (Units) 74 69 93%	464	464	initial size (Units) 74 69 93%
peak size (Units) 1301 1292 99%	465	465	peak size (Units) 1301 1292 99%
final size (Units) 15 13 87%	466	466	final size (Units) 15 13 87%
Numeric final size (Units) 79 75 95%	467	467	Numeric final size (Units) 79 75 95%
Numeric final size (MBytes) 0.0 0.0 95%	468	468	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 1463 1454 99%	469	469	peak memory usage (Units) 1463 1454 99%
peak memory usage (MBytes) 0.0 0.0 99%	470	470	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	471	471	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	472	472	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	473	473	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	474	474	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	475	475	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	476	476	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	477	477	largest # columns in front 3 2 67%
	478	478
initial allocation ratio used: 0.7	479	479	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	480	480	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	481	481	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	482	482	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	483	483	number of small entries dropped 0
nonzeros on diagonal of U: 5	484	484	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	485	485	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.77e+00	486	486	max abs. value on diagonal of U: 1.77e+00
estimate of reciprocal of condition number: 7.59e-02	487	487	estimate of reciprocal of condition number: 7.59e-02
indices in compressed pattern: 2	488	488	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	489	489	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	490	490	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	491	491	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	492	492	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	493	493	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	494	494	numeric factorization wallclock time (sec): 0.00
	495	495
solve flops: 4.80000e+02	496	496	solve flops: 4.80000e+02
iterative refinement steps taken: 0	497	497	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	498	498	iterative refinement steps attempted: 0
sparse backward error omega1: 7.82e-17	499	499	sparse backward error omega1: 7.82e-17
sparse backward error omega2: 0.00e+00	500	500	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	501	501	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	502	502	solve wall clock time (sec): 0.00
	503	503
total symbolic + numeric + solve flops: 5.14000e+02	504	504	total symbolic + numeric + solve flops: 5.14000e+02
	505	505
	506	506
x (solution of A'x=b): dense vector, n = 5.	507	507	x (solution of A'x=b): dense vector, n = 5.
0 : (3.39246 + 0.13257i)	508	508	0 : (3.39246 + 0.13257i)
1 : (0.31463 + 1.38626i)	509	509	1 : (0.31463 + 1.38626i)
2 : (0.461538 + 0.692308i)	510	510	2 : (0.461538 + 0.692308i)
3 : (-20.9089 - 1.55801i)	511	511	3 : (-20.9089 - 1.55801i)
4 : (9.04015 - 0.613724i)	512	512	4 : (9.04015 - 0.613724i)
dense vector OK	513	513	dense vector OK
	514	514
maxnorm of residual: 4.52416e-15	515	515	maxnorm of residual: 4.52416e-15
	516	516
	517	517
changing A (1,4) to zero	518	518	changing A (1,4) to zero
	519	519
modified A: column-form matrix, n_row 5 n_col 5, nz = 12.	520	520	modified A: column-form matrix, n_row 5 n_col 5, nz = 12.
	521	521
column 0: start: 0 end: 1 entries: 2	522	522	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	523	523	row 0 : (2 + 1i)
row 1 : (3 + 0.1i)	524	524	row 1 : (3 + 0.1i)
	525	525
column 1: start: 2 end: 4 entries: 3	526	526	column 1: start: 2 end: 4 entries: 3
row 0 : (3 + 0i)	527	527	row 0 : (3 + 0i)
row 2 : (-1 - 1i)	528	528	row 2 : (-1 - 1i)
row 4 : (4 + 0.3i)	529	529	row 4 : (4 + 0.3i)
	530	530
column 2: start: 5 end: 8 entries: 4	531	531	column 2: start: 5 end: 8 entries: 4
row 1 : (4 + 0.2i)	532	532	row 1 : (4 + 0.2i)
row 2 : (-3 - 0.2i)	533	533	row 2 : (-3 - 0.2i)
row 3 : (1 + 0i)	534	534	row 3 : (1 + 0i)
row 4 : (2 + 0.3i)	535	535	row 4 : (2 + 0.3i)
	536	536
column 3: start: 9 end: 9 entries: 1	537	537	column 3: start: 9 end: 9 entries: 1
row 2 : (2 + 3i)	538	538	row 2 : (2 + 3i)
	539	539
column 4: start: 10 end: 11 entries: 2	540	540	column 4: start: 10 end: 11 entries: 2
row 1 : (0 + 0i)	541	541	row 1 : (0 + 0i)
row 4 : (1 + 0.4i)	542	542	row 4 : (1 + 0.4i)
column-form matrix OK	543	543	column-form matrix OK
	544	544
	545	545
Numeric factorization of modified A: Numeric object:	546	546	Numeric factorization of modified A: Numeric object:
n_row: 5 n_col: 5	547	547	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	548	548	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	549	549	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	550	550	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.00000e+00	551	551	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.02000e+01	552	552	maximum sum (abs (rows of A)): 1.02000e+01
initial allocation parameter used: 0.7	553	553	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	554	554	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 73	555	555	final total size of Numeric object (Units): 73
final total size of Numeric object (MBytes): 0.0	556	556	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 1292	557	557	peak size of variable-size part (Units): 1292
peak size of variable-size part (MBytes): 0.0	558	558	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	559	559	largest actual frontal matrix size: 4
memory defragmentations: 1	560	560	memory defragmentations: 1
memory reallocations: 1	561	561	memory reallocations: 1
costly memory reallocations: 0	562	562	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	563	563	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 3	564	564	number of nonzeros in L (excl diag): 3
number of entries stored in L (excl diag): 1	565	565	number of entries stored in L (excl diag): 1
number of nonzeros in U (excl diag): 4	566	566	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	567	567	number of entries stored in U (excl diag): 2
factorization floating-point operations: 17	568	568	factorization floating-point operations: 17
number of nonzeros on diagonal of U: 5	569	569	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.34629e-01	570	570	min abs. value on diagonal of U: 1.34629e-01
max abs. value on diagonal of U: 1.00000e+00	571	571	max abs. value on diagonal of U: 1.00000e+00
reciprocal condition number estimate: 1.35e-01	572	572	reciprocal condition number estimate: 1.35e-01
	573	573
Scale factors applied via multiplication	574	574	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	575	575	Scale factors, Rs: dense vector, n = 5.
0 : (0.166667)	576	576	0 : (0.166667)
1 : (0.136986)	577	577	1 : (0.136986)
2 : (0.0980392)	578	578	2 : (0.0980392)
3 : (1)	579	579	3 : (1)
4 : (0.125)	580	580	4 : (0.125)
dense vector OK	581	581	dense vector OK
	582	582
	583	583
P: row permutation vector, n = 5.	584	584	P: row permutation vector, n = 5.
0 : 2	585	585	0 : 2
1 : 3	586	586	1 : 3
2 : 0	587	587	2 : 0
3 : 4	588	588	3 : 4
4 : 1	589	589	4 : 1
permutation vector OK	590	590	permutation vector OK
	591	591
	592	592
Q: column permutation vector, n = 5.	593	593	Q: column permutation vector, n = 5.
0 : 3	594	594	0 : 3
1 : 2	595	595	1 : 2
2 : 0	596	596	2 : 0
3 : 4	597	597	3 : 4
4 : 1	598	598	4 : 1
permutation vector OK	599	599	permutation vector OK
	600	600
	601	601
L in Numeric object, in column-oriented compressed-pattern form:	602	602	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	603	603	Diagonal entries are all equal to 1.0 (not stored)
	604	604
column 0: length 0.	605	605	column 0: length 0.
	606	606
column 1: length 2.	607	607	column 1: length 2.
row 4 : (0.547945 + 0.0273973i)	608	608	row 4 : (0.547945 + 0.0273973i)
row 3 : (0.25 + 0.0375i)	609	609	row 3 : (0.25 + 0.0375i)
	610	610
column 2: add 1 entries. length 1. Start of Lchain.	611	611	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (1.00274 - 0.460274i)	612	612	row 4 : (1.00274 - 0.460274i)
	613	613
column 3: length 0. Start of Lchain.	614	614	column 3: length 0. Start of Lchain.
	615	615
column 4: length 0. Start of Lchain.	616	616	column 4: length 0. Start of Lchain.
	617	617
	618	618
U in Numeric object, in row-oriented compressed-pattern form:	619	619	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	620	620	Diagonal is stored separately.
	621	621
row 4: length 0. End of Uchain.	622	622	row 4: length 0. End of Uchain.
	623	623
row 3: length 1. End of Uchain.	624	624	row 3: length 1. End of Uchain.
col 4 : (0.5 + 0.0375i)	625	625	col 4 : (0.5 + 0.0375i)
	626	626
row 2: length 1.	627	627	row 2: length 1.
col 4 : (0.5 + 0i)	628	628	col 4 : (0.5 + 0i)
	629	629
row 1: length 0. End of Uchain.	630	630	row 1: length 0. End of Uchain.
	631	631
row 1: length 0.	632	632	row 1: length 0.
	633	633
row 0: length 2.	634	634	row 0: length 2.
col 1 : (-0.294118 - 0.0196078i)	635	635	col 1 : (-0.294118 - 0.0196078i)
col 4 : (-0.0980392 - 0.0980392i)	636	636	col 4 : (-0.0980392 - 0.0980392i)
	637	637
	638	638
diagonal of U: dense vector, n = 5.	639	639	diagonal of U: dense vector, n = 5.
0 : (0.196078 + 0.294118i)	640	640	0 : (0.196078 + 0.294118i)
1 : (1 + 0i)	641	641	1 : (1 + 0i)
2 : (0.333333 + 0.166667i)	642	642	2 : (0.333333 + 0.166667i)
3 : (0.125 + 0.05i)	643	643	3 : (0.125 + 0.05i)
4 : (-0.50137 + 0.230137i)	644	644	4 : (-0.50137 + 0.230137i)
dense vector OK	645	645	dense vector OK
	646	646
Numeric object: OK	647	647	Numeric object: OK
	648	648
UMFPACK V5.1.0 (May 31, 2007), Info:	649	649	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	650	650	matrix entry defined as: double complex
Int (generic integer) defined as: UF_long	651	651	Int (generic integer) defined as: UF_long
BLAS library used: Fortran BLAS. size of BLAS integer: 4	652	652	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	653	653	MATLAB: no.
CPU timer: POSIX times ( ) routine.	654	654	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	655	655	number of rows in matrix A: 5
number of columns in matrix A: 5	656	656	number of columns in matrix A: 5
entries in matrix A: 12	657	657	entries in matrix A: 12
memory usage reported in: 16-byte Units	658	658	memory usage reported in: 16-byte Units
size of int: 4 bytes	659	659	size of int: 4 bytes
size of UF_long: 8 bytes	660	660	size of UF_long: 8 bytes
size of pointer: 8 bytes	661	661	size of pointer: 8 bytes
size of numerical entry: 16 bytes	662	662	size of numerical entry: 16 bytes
	663	663
strategy used: unsymmetric	664	664	strategy used: unsymmetric
ordering used: colamd on A	665	665	ordering used: colamd on A
modify Q during factorization: yes	666	666	modify Q during factorization: yes
prefer diagonal pivoting: no	667	667	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	668	668	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	669	669	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	670	670	number of "dense" rows: 0
number of "dense" columns: 0	671	671	number of "dense" columns: 0
number of empty rows: 0	672	672	number of empty rows: 0
number of empty columns 0	673	673	number of empty columns 0
submatrix S square and diagonal preserved	674	674	submatrix S square and diagonal preserved
pattern of square submatrix S:	675	675	pattern of square submatrix S:
number rows and columns 3	676	676	number rows and columns 3
symmetry of nonzero pattern: 1.000000	677	677	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	678	678	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	679	679	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	680	680	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	681	681	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	682	682	# of small diagonal entries of S: 1
# unmatched: 0	683	683	# unmatched: 0
symmetry of P2*S: 0.000000	684	684	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	685	685	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	686	686	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	687	687	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	688	688	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 138	689	689	symbolic memory usage (Units): 138
symbolic memory usage (MBytes): 0.0	690	690	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 41	691	691	Symbolic size (Units): 41
Symbolic size (MBytes): 0	692	692	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	693	693	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	694	694	symbolic factorization wallclock time(sec): 0.01
	695	695
matrix scaled: yes (divided each row by sum of abs values in each row)	696	696	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00	697	697	minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 1.02000e+01	698	698	maximum sum (abs (rows of A)): 1.02000e+01
	699	699
symbolic/numeric factorization: upper bound actual %	700	700	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	701	701	variable-sized part of Numeric object:
initial size (Units) 74 69 93%	702	702	initial size (Units) 74 69 93%
peak size (Units) 1301 1292 99%	703	703	peak size (Units) 1301 1292 99%
final size (Units) 15 12 80%	704	704	final size (Units) 15 12 80%
Numeric final size (Units) 79 74 94%	705	705	Numeric final size (Units) 79 74 94%
Numeric final size (MBytes) 0.0 0.0 94%	706	706	Numeric final size (MBytes) 0.0 0.0 94%
peak memory usage (Units) 1463 1454 99%	707	707	peak memory usage (Units) 1463 1454 99%
peak memory usage (MBytes) 0.0 0.0 99%	708	708	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 1.70000e+01 25%	709	709	numeric factorization flops 6.70000e+01 1.70000e+01 25%
nz in L (incl diagonal) 10 8 80%	710	710	nz in L (incl diagonal) 10 8 80%
nz in U (incl diagonal) 10 9 90%	711	711	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 12 80%	712	712	nz in L+U (incl diagonal) 15 12 80%
largest front (# entries) 9 4 44%	713	713	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	714	714	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	715	715	largest # columns in front 3 2 67%
	716	716
initial allocation ratio used: 0.7	717	717	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	718	718	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 8	719	719	nz in L (incl diagonal), if none dropped 8
nz in U (incl diagonal), if none dropped 9	720	720	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	721	721	number of small entries dropped 0
nonzeros on diagonal of U: 5	722	722	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.35e-01	723	723	min abs. value on diagonal of U: 1.35e-01
max abs. value on diagonal of U: 1.00e+00	724	724	max abs. value on diagonal of U: 1.00e+00
estimate of reciprocal of condition number: 1.35e-01	725	725	estimate of reciprocal of condition number: 1.35e-01
indices in compressed pattern: 2	726	726	indices in compressed pattern: 2
numerical values stored in Numeric object: 8	727	727	numerical values stored in Numeric object: 8
numeric factorization defragmentations: 1	728	728	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	729	729	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	730	730	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	731	731	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	732	732	numeric factorization wallclock time (sec): 0.00
	733	733
solve flops: 5.15000e+02	734	734	solve flops: 5.15000e+02
iterative refinement steps taken: 0	735	735	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	736	736	iterative refinement steps attempted: 0
sparse backward error omega1: 6.01e-17	737	737	sparse backward error omega1: 6.01e-17
sparse backward error omega2: 0.00e+00	738	738	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	739	739	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	740	740	solve wall clock time (sec): 0.00
	741	741
total symbolic + numeric + solve flops: 5.32000e+02	742	742	total symbolic + numeric + solve flops: 5.32000e+02
	743	743
	744	744
x (with modified A): dense vector, n = 5.	745	745	x (with modified A): dense vector, n = 5.
0 : (10.9256 - 2.23085i)	746	746	0 : (10.9256 - 2.23085i)
1 : (-5.36071 - 1.82131i)	747	747	1 : (-5.36071 - 1.82131i)
2 : (3 + 0i)	748	748	2 : (3 + 0i)
3 : (-1.60191 - 1.88814i)	749	749	3 : (-1.60191 - 1.88814i)
4 : (32.7361 - 2.90097i)	750	750	4 : (32.7361 - 2.90097i)
dense vector OK	751	751	dense vector OK
	752	752
maxnorm of residual: 4.66294e-15	753	753	maxnorm of residual: 4.66294e-15
	754	754
changing real part of A (0,0) from 2 to 2	755	755	changing real part of A (0,0) from 2 to 2
changing real part of A (1,0) from 3 to 2	756	756	changing real part of A (1,0) from 3 to 2
changing real part of A (0,1) from 3 to 13	757	757	changing real part of A (0,1) from 3 to 13
changing real part of A (2,1) from -1 to 7	758	758	changing real part of A (2,1) from -1 to 7
changing real part of A (4,1) from 4 to 10	759	759	changing real part of A (4,1) from 4 to 10
changing real part of A (1,2) from 4 to 23	760	760	changing real part of A (1,2) from 4 to 23
changing real part of A (2,2) from -3 to 15	761	761	changing real part of A (2,2) from -3 to 15
changing real part of A (3,2) from 1 to 18	762	762	changing real part of A (3,2) from 1 to 18
changing real part of A (4,2) from 2 to 18	763	763	changing real part of A (4,2) from 2 to 18
changing real part of A (2,3) from 2 to 30	764	764	changing real part of A (2,3) from 2 to 30
changing real part of A (1,4) from 0 to 39	765	765	changing real part of A (1,4) from 0 to 39
changing real part of A (4,4) from 1 to 37	766	766	changing real part of A (4,4) from 1 to 37
	767	767
completely modified A (same pattern): column-form matrix, n_row 5 n_col 5, nz = 12.	768	768	completely modified A (same pattern): column-form matrix, n_row 5 n_col 5, nz = 12.
	769	769
column 0: start: 0 end: 1 entries: 2	770	770	column 0: start: 0 end: 1 entries: 2
row 0 : (2 + 1i)	771	771	row 0 : (2 + 1i)
row 1 : (2 + 0.1i)	772	772	row 1 : (2 + 0.1i)
	773	773
column 1: start: 2 end: 4 entries: 3	774	774	column 1: start: 2 end: 4 entries: 3
row 0 : (13 + 0i)	775	775	row 0 : (13 + 0i)
row 2 : (7 - 1i)	776	776	row 2 : (7 - 1i)
row 4 : (10 + 0.3i)	777	777	row 4 : (10 + 0.3i)
	778	778
column 2: start: 5 end: 8 entries: 4	779	779	column 2: start: 5 end: 8 entries: 4
row 1 : (23 + 0.2i)	780	780	row 1 : (23 + 0.2i)
row 2 : (15 - 0.2i)	781	781	row 2 : (15 - 0.2i)
row 3 : (18 + 0i)	782	782	row 3 : (18 + 0i)
row 4 : (18 + 0.3i)	783	783	row 4 : (18 + 0.3i)
	784	784
column 3: start: 9 end: 9 entries: 1	785	785	column 3: start: 9 end: 9 entries: 1
row 2 : (30 + 3i)	786	786	row 2 : (30 + 3i)
	787	787
column 4: start: 10 end: 11 entries: 2	788	788	column 4: start: 10 end: 11 entries: 2
row 1 : (39 + 0i)	789	789	row 1 : (39 + 0i)
row 4 : (37 + 0.4i)	790	790	row 4 : (37 + 0.4i)
column-form matrix OK	791	791	column-form matrix OK
	792	792
	793	793
Saving symbolic object:	794	794	Saving symbolic object:
	795	795
Freeing symbolic object:	796	796	Freeing symbolic object:
	797	797
Loading symbolic object:	798	798	Loading symbolic object:
	799	799
Done loading symbolic object	800	800	Done loading symbolic object
	801	801
Numeric factorization of completely modified A: Numeric object:	802	802	Numeric factorization of completely modified A: Numeric object:
n_row: 5 n_col: 5	803	803	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	804	804	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	805	805	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	806	806	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 1.60000e+01	807	807	minimum sum (abs (rows of A)): 1.60000e+01
maximum sum (abs (rows of A)): 6.60000e+01	808	808	maximum sum (abs (rows of A)): 6.60000e+01
initial allocation parameter used: 0.7	809	809	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	810	810	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 74	811	811	final total size of Numeric object (Units): 74
final total size of Numeric object (MBytes): 0.0	812	812	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 1292	813	813	peak size of variable-size part (Units): 1292
peak size of variable-size part (MBytes): 0.0	814	814	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	815	815	largest actual frontal matrix size: 4
memory defragmentations: 1	816	816	memory defragmentations: 1
memory reallocations: 1	817	817	memory reallocations: 1
costly memory reallocations: 0	818	818	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	819	819	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 4	820	820	number of nonzeros in L (excl diag): 4
number of entries stored in L (excl diag): 2	821	821	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 4	822	822	number of nonzeros in U (excl diag): 4
number of entries stored in U (excl diag): 2	823	823	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	824	824	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	825	825	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.39754e-01	826	826	min abs. value on diagonal of U: 1.39754e-01
max abs. value on diagonal of U: 1.00000e+00	827	827	max abs. value on diagonal of U: 1.00000e+00
reciprocal condition number estimate: 1.40e-01	828	828	reciprocal condition number estimate: 1.40e-01
	829	829
Scale factors applied via multiplication	830	830	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	831	831	Scale factors, Rs: dense vector, n = 5.
0 : (0.0625)	832	832	0 : (0.0625)
1 : (0.0155521)	833	833	1 : (0.0155521)
2 : (0.0177936)	834	834	2 : (0.0177936)
3 : (0.0555556)	835	835	3 : (0.0555556)
4 : (0.0151515)	836	836	4 : (0.0151515)
dense vector OK	837	837	dense vector OK
	838	838
	839	839
P: row permutation vector, n = 5.	840	840	P: row permutation vector, n = 5.
0 : 2	841	841	0 : 2
1 : 3	842	842	1 : 3
2 : 0	843	843	2 : 0
3 : 4	844	844	3 : 4
4 : 1	845	845	4 : 1
permutation vector OK	846	846	permutation vector OK
	847	847
	848	848
Q: column permutation vector, n = 5.	849	849	Q: column permutation vector, n = 5.
0 : 3	850	850	0 : 3
1 : 2	851	851	1 : 2
2 : 0	852	852	2 : 0
3 : 4	853	853	3 : 4
4 : 1	854	854	4 : 1
permutation vector OK	855	855	permutation vector OK
	856	856
	857	857
L in Numeric object, in column-oriented compressed-pattern form:	858	858	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	859	859	Diagonal entries are all equal to 1.0 (not stored)
	860	860
column 0: length 0.	861	861	column 0: length 0.
	862	862
column 1: length 2.	863	863	column 1: length 2.
row 4 : (0.357698 + 0.00311042i)	864	864	row 4 : (0.357698 + 0.00311042i)
row 3 : (0.272727 + 0.00454545i)	865	865	row 3 : (0.272727 + 0.00454545i)
	866	866
column 2: add 1 entries. length 1. Start of Lchain.	867	867	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.204044 - 0.0895801i)	868	868	row 4 : (0.204044 - 0.0895801i)
	869	869
column 3: length 1.	870	870	column 3: length 1.
row 4 : (1.0818 - 0.0116951i)	871	871	row 4 : (1.0818 - 0.0116951i)
	872	872
column 4: length 0. Start of Lchain.	873	873	column 4: length 0. Start of Lchain.
	874	874
	875	875
U in Numeric object, in row-oriented compressed-pattern form:	876	876	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	877	877	Diagonal is stored separately.
	878	878
row 4: length 0. End of Uchain.	879	879	row 4: length 0. End of Uchain.
	880	880
row 3: length 1. End of Uchain.	881	881	row 3: length 1. End of Uchain.
col 4 : (0.151515 + 0.00454545i)	882	882	col 4 : (0.151515 + 0.00454545i)
	883	883
row 2: length 1.	884	884	row 2: length 1.
col 4 : (0.8125 + 0i)	885	885	col 4 : (0.8125 + 0i)
	886	886
row 1: length 0. End of Uchain.	887	887	row 1: length 0. End of Uchain.
	888	888
row 1: length 0.	889	889	row 1: length 0.
	890	890
row 0: length 2.	891	891	row 0: length 2.
col 1 : (0.266904 - 0.00355872i)	892	892	col 1 : (0.266904 - 0.00355872i)
col 4 : (0.124555 - 0.0177936i)	893	893	col 4 : (0.124555 - 0.0177936i)
	894	894
	895	895
diagonal of U: dense vector, n = 5.	896	896	diagonal of U: dense vector, n = 5.
0 : (0.533808 + 0.0533808i)	897	897	0 : (0.533808 + 0.0533808i)
1 : (1 + 0i)	898	898	1 : (1 + 0i)
2 : (0.125 + 0.0625i)	899	899	2 : (0.125 + 0.0625i)
3 : (0.560606 + 0.00606061i)	900	900	3 : (0.560606 + 0.00606061i)
4 : (-0.329747 + 0.0696386i)	901	901	4 : (-0.329747 + 0.0696386i)
dense vector OK	902	902	dense vector OK
	903	903
Numeric object: OK	904	904	Numeric object: OK
	905	905
UMFPACK V5.1.0 (May 31, 2007), Info:	906	906	UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex	907	907	matrix entry defined as: double complex
Int (generic integer) defined as: UF_long	908	908	Int (generic integer) defined as: UF_long
BLAS library used: Fortran BLAS. size of BLAS integer: 4	909	909	BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.	910	910	MATLAB: no.
CPU timer: POSIX times ( ) routine.	911	911	CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 5	912	912	number of rows in matrix A: 5
number of columns in matrix A: 5	913	913	number of columns in matrix A: 5
entries in matrix A: 12	914	914	entries in matrix A: 12
memory usage reported in: 16-byte Units	915	915	memory usage reported in: 16-byte Units
size of int: 4 bytes	916	916	size of int: 4 bytes
size of UF_long: 8 bytes	917	917	size of UF_long: 8 bytes
size of pointer: 8 bytes	918	918	size of pointer: 8 bytes
size of numerical entry: 16 bytes	919	919	size of numerical entry: 16 bytes
	920	920
strategy used: unsymmetric	921	921	strategy used: unsymmetric
ordering used: colamd on A	922	922	ordering used: colamd on A
modify Q during factorization: yes	923	923	modify Q during factorization: yes
prefer diagonal pivoting: no	924	924	prefer diagonal pivoting: no
pivots with zero Markowitz cost: 2	925	925	pivots with zero Markowitz cost: 2
submatrix S after removing zero-cost pivots:	926	926	submatrix S after removing zero-cost pivots:
number of "dense" rows: 0	927	927	number of "dense" rows: 0
number of "dense" columns: 0	928	928	number of "dense" columns: 0
number of empty rows: 0	929	929	number of empty rows: 0
number of empty columns 0	930	930	number of empty columns 0
submatrix S square and diagonal preserved	931	931	submatrix S square and diagonal preserved
pattern of square submatrix S:	932	932	pattern of square submatrix S:
number rows and columns 3	933	933	number rows and columns 3
symmetry of nonzero pattern: 1.000000	934	934	symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 4	935	935	nz in S+S' (excl. diagonal): 4
nz on diagonal of matrix S: 2	936	936	nz on diagonal of matrix S: 2
fraction of nz on diagonal: 0.666667	937	937	fraction of nz on diagonal: 0.666667
2-by-2 pivoting to place large entries on diagonal:	938	938	2-by-2 pivoting to place large entries on diagonal:
# of small diagonal entries of S: 1	939	939	# of small diagonal entries of S: 1
# unmatched: 0	940	940	# unmatched: 0
symmetry of P2*S: 0.000000	941	941	symmetry of P2*S: 0.000000
nz in P2S+(P2S)' (excl. diag.): 6	942	942	nz in P2S+(P2S)' (excl. diag.): 6
nz on diagonal of P2*S: 3	943	943	nz on diagonal of P2*S: 3
fraction of nz on diag of P2*S: 1.000000	944	944	fraction of nz on diag of P2*S: 1.000000
symbolic factorization defragmentations: 0	945	945	symbolic factorization defragmentations: 0
symbolic memory usage (Units): 138	946	946	symbolic memory usage (Units): 138
symbolic memory usage (MBytes): 0.0	947	947	symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 41	948	948	Symbolic size (Units): 41
Symbolic size (MBytes): 0	949	949	Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00	950	950	symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00	951	951	symbolic factorization wallclock time(sec): 0.01
	952	952
matrix scaled: yes (divided each row by sum of abs values in each row)	953	953	matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.60000e+01	954	954	minimum sum (abs (rows of A)): 1.60000e+01
maximum sum (abs (rows of A)): 6.60000e+01	955	955	maximum sum (abs (rows of A)): 6.60000e+01
	956	956
symbolic/numeric factorization: upper bound actual %	957	957	symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:	958	958	variable-sized part of Numeric object:
initial size (Units) 74 69 93%	959	959	initial size (Units) 74 69 93%
peak size (Units) 1301 1292 99%	960	960	peak size (Units) 1301 1292 99%
final size (Units) 15 13 87%	961	961	final size (Units) 15 13 87%
Numeric final size (Units) 79 75 95%	962	962	Numeric final size (Units) 79 75 95%
Numeric final size (MBytes) 0.0 0.0 95%	963	963	Numeric final size (MBytes) 0.0 0.0 95%
peak memory usage (Units) 1463 1454 99%	964	964	peak memory usage (Units) 1463 1454 99%
peak memory usage (MBytes) 0.0 0.0 99%	965	965	peak memory usage (MBytes) 0.0 0.0 99%
numeric factorization flops 6.70000e+01 3.40000e+01 51%	966	966	numeric factorization flops 6.70000e+01 3.40000e+01 51%
nz in L (incl diagonal) 10 9 90%	967	967	nz in L (incl diagonal) 10 9 90%
nz in U (incl diagonal) 10 9 90%	968	968	nz in U (incl diagonal) 10 9 90%
nz in L+U (incl diagonal) 15 13 87%	969	969	nz in L+U (incl diagonal) 15 13 87%
largest front (# entries) 9 4 44%	970	970	largest front (# entries) 9 4 44%
largest # rows in front 3 2 67%	971	971	largest # rows in front 3 2 67%
largest # columns in front 3 2 67%	972	972	largest # columns in front 3 2 67%
	973	973
initial allocation ratio used: 0.7	974	974	initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0	975	975	# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 9	976	976	nz in L (incl diagonal), if none dropped 9
nz in U (incl diagonal), if none dropped 9	977	977	nz in U (incl diagonal), if none dropped 9
number of small entries dropped 0	978	978	number of small entries dropped 0
nonzeros on diagonal of U: 5	979	979	nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 1.40e-01	980	980	min abs. value on diagonal of U: 1.40e-01
max abs. value on diagonal of U: 1.00e+00	981	981	max abs. value on diagonal of U: 1.00e+00
estimate of reciprocal of condition number: 1.40e-01	982	982	estimate of reciprocal of condition number: 1.40e-01
indices in compressed pattern: 2	983	983	indices in compressed pattern: 2
numerical values stored in Numeric object: 9	984	984	numerical values stored in Numeric object: 9
numeric factorization defragmentations: 1	985	985	numeric factorization defragmentations: 1
numeric factorization reallocations: 1	986	986	numeric factorization reallocations: 1
costly numeric factorization reallocations: 0	987	987	costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00	988	988	numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00	989	989	numeric factorization wallclock time (sec): 0.00
	990	990
solve flops: 5.23000e+02	991	991	solve flops: 5.23000e+02
iterative refinement steps taken: 0	992	992	iterative refinement steps taken: 0
iterative refinement steps attempted: 0	993	993	iterative refinement steps attempted: 0
sparse backward error omega1: 8.05e-17	994	994	sparse backward error omega1: 8.05e-17
sparse backward error omega2: 0.00e+00	995	995	sparse backward error omega2: 0.00e+00
solve CPU time (sec): 0.00	996	996	solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00	997	997	solve wall clock time (sec): 0.00
	998	998
total symbolic + numeric + solve flops: 5.57000e+02	999	999	total symbolic + numeric + solve flops: 5.57000e+02
	1000	1000
	1001	1001
x (with completely modified A): dense vector, n = 5.	1002	1002	x (with completely modified A): dense vector, n = 5.
0 : (7.56307 - 3.68974i)	1003	1003	0 : (7.56307 - 3.68974i)
1 : (-0.831991 + 0.0627998i)	1004	1004	1 : (-0.831991 + 0.0627998i)
2 : (0.166667 + 0i)	1005	1005	2 : (0.166667 + 0i)
3 : (-0.00206892 - 0.107735i)	1006	1006	3 : (-0.00206892 - 0.107735i)
4 : (0.658245 + 0.0407649i)	1007	1007	4 : (0.658245 + 0.0407649i)
dense vector OK	1008	1008	dense vector OK
	1009	1009
maxnorm of residual: 9.10383e-15	1010	1010	maxnorm of residual: 9.10383e-15
	1011	1011
	1012	1012
C (transpose of A): column-form matrix, n_row 5 n_col 5, nz = 12.	1013	1013	C (transpose of A): column-form matrix, n_row 5 n_col 5, nz = 12.
	1014	1014
column 0: start: 0 end: 1 entries: 2	1015	1015	column 0: start: 0 end: 1 entries: 2
row 0 : (2 - 1i)	1016	1016	row 0 : (2 - 1i)
row 1 : (13 + 0i)	1017	1017	row 1 : (13 + 0i)
	1018	1018
column 1: start: 2 end: 4 entries: 3	1019	1019	column 1: start: 2 end: 4 entries: 3
row 0 : (2 - 0.1i)	1020	1020	row 0 : (2 - 0.1i)
row 2 : (23 - 0.2i)	1021	1021	row 2 : (23 - 0.2i)
row 4 : (39 + 0i)	1022	1022	row 4 : (39 + 0i)
	1023	1023
column 2: start: 5 end: 7 entries: 3	1024	1024	column 2: start: 5 end: 7 entries: 3
row 1 : (7 + 1i)	1025	1025	row 1 : (7 + 1i)
row 2 : (15 + 0.2i)	1026	1026	row 2 : (15 + 0.2i)
row 3 : (30 - 3i)	1027	1027	row 3 : (30 - 3i)
	1028	1028
column 3: start: 8 end: 8 entries: 1	1029	1029	column 3: start: 8 end: 8 entries: 1
row 2 : (18 + 0i)	1030	1030	row 2 : (18 + 0i)
	1031	1031
column 4: start: 9 end: 11 entries: 3	1032	1032	column 4: start: 9 end: 11 entries: 3
row 1 : (10 - 0.3i)	1033	1033	row 1 : (10 - 0.3i)
row 2 : (18 - 0.3i)	1034	1034	row 2 : (18 - 0.3i)
row 4 : (37 - 0.4i)	1035	1035	row 4 : (37 - 0.4i)
column-form matrix OK	1036	1036	column-form matrix OK
	1037	1037
	1038	1038
Symbolic factorization of C: Symbolic object:	1039	1039	Symbolic factorization of C: Symbolic object:
matrix to be factorized:	1040	1040	matrix to be factorized:
n_row: 5 n_col: 5	1041	1041	n_row: 5 n_col: 5
number of entries: 12	1042	1042	number of entries: 12
block size used for dense matrix kernels: 32	1043	1043	block size used for dense matrix kernels: 32
strategy used: unsymmetric	1044	1044	strategy used: unsymmetric
ordering used: colamd on A	1045	1045	ordering used: colamd on A
	1046	1046
performn column etree postorder: yes	1047	1047	performn column etree postorder: yes
prefer diagonal pivoting (attempt P=Q): no	1048	1048	prefer diagonal pivoting (attempt P=Q): no
variable-size part of Numeric object:	1049	1049	variable-size part of Numeric object:
minimum initial size (Units): 75 (MBytes): 0.0	1050	1050	minimum initial size (Units): 75 (MBytes): 0.0
estimated peak size (Units): 1302 (MBytes): 0.0	1051	1051	estimated peak size (Units): 1302 (MBytes): 0.0
estimated final size (Units): 16 (MBytes): 0.0	1052	1052	estimated final size (Units): 16 (MBytes): 0.0
symbolic factorization memory usage (Units): 138 (MBytes): 0.0	1053	1053	symbolic factorization memory usage (Units): 138 (MBytes): 0.0
frontal matrices / supercolumns:	1054	1054	frontal matrices / supercolumns:
number of frontal chains: 1	1055	1055	number of frontal chains: 1
number of frontal matrices: 1	1056	1056	number of frontal matrices: 1
largest frontal matrix row dimension: 3	1057	1057	largest frontal matrix row dimension: 3
largest frontal matrix column dimension: 3	1058	1058	largest frontal matrix column dimension: 3
	1059	1059
Frontal chain: 0. Frontal matrices 0 to 0	1060	1060	Frontal chain: 0. Frontal matrices 0 to 0
Largest frontal matrix in Frontal chain: 3-by-3	1061	1061	Largest frontal matrix in Frontal chain: 3-by-3
Front: 0 pivot cols: 3 (pivot columns 0 to 2)	1062	1062	Front: 0 pivot cols: 3 (pivot columns 0 to 2)
pivot row candidates: 2 to 4	1063	1063	pivot row candidates: 2 to 4
leftmost descendant: 0	1064	1064	leftmost descendant: 0
1st new candidate row : 2	1065	1065	1st new candidate row : 2
parent: (none)	1066	1066	parent: (none)
	1067	1067
Initial column permutation, Q1: permutation vector, n = 5.	1068	1068	Initial column permutation, Q1: permutation vector, n = 5.
0 : 3	1069	1069	0 : 3
1 : 2	1070	1070	1 : 2
2 : 0	1071	1071	2 : 0
3 : 4	1072	1072	3 : 4
4 : 1	1073	1073	4 : 1
permutation vector OK	1074	1074	permutation vector OK
	1075	1075
	1076	1076
Initial row permutation, P1: permutation vector, n = 5.	1077	1077	Initial row permutation, P1: permutation vector, n = 5.
0 : 2	1078	1078	0 : 2
1 : 3	1079	1079	1 : 3
2 : 0	1080	1080	2 : 0
3 : 1	1081	1081	3 : 1
4 : 4	1082	1082	4 : 4
permutation vector OK	1083	1083	permutation vector OK
	1084	1084
Symbolic object: OK	1085	1085	Symbolic object: OK
	1086	1086
	1087	1087
Get the contents of the Symbolic object for C:	1088	1088	Get the contents of the Symbolic object for C:
(compare with umfpack_zl_report_symbolic output, above)	1089	1089	(compare with umfpack_zl_report_symbolic output, above)
From the Symbolic object, C is of dimension 5-by-5	1090	1090	From the Symbolic object, C is of dimension 5-by-5
with nz = 12, number of fronts = 1,	1091	1091	with nz = 12, number of fronts = 1,
number of frontal matrix chains = 1	1092	1092	number of frontal matrix chains = 1
	1093	1093
Pivot columns in each front, and parent of each front:	1094	1094	Pivot columns in each front, and parent of each front:
Front 0: parent front: -1 number of pivot cols: 3	1095	1095	Front 0: parent front: -1 number of pivot cols: 3
0-th pivot column is column 3 in original matrix	1096	1096	0-th pivot column is column 3 in original matrix
1-th pivot column is column 2 in original matrix	1097	1097	1-th pivot column is column 2 in original matrix
2-th pivot column is column 0 in original matrix	1098	1098	2-th pivot column is column 0 in original matrix
	1099	1099
Note that the column ordering, above, will be refined	1100	1100	Note that the column ordering, above, will be refined
in the numeric factorization below. The assignment of pivot	1101	1101	in the numeric factorization below. The assignment of pivot
columns to frontal matrices will always remain unchanged.	1102	1102	columns to frontal matrices will always remain unchanged.
	1103	1103
Total number of pivot columns in frontal matrices: 3	1104	1104	Total number of pivot columns in frontal matrices: 3
	1105	1105
Frontal matrix chains:	1106	1106	Frontal matrix chains:
Frontal matrices 0 to 0 are factorized in a single	1107	1107	Frontal matrices 0 to 0 are factorized in a single
working array of size 3-by-3	1108	1108	working array of size 3-by-3
	1109	1109
Numeric factorization of C: Numeric object:	1110	1110	Numeric factorization of C: Numeric object:
n_row: 5 n_col: 5	1111	1111	n_row: 5 n_col: 5
relative pivot tolerance used: 0.1	1112	1112	relative pivot tolerance used: 0.1
relative symmetric pivot tolerance used: 0.001	1113	1113	relative symmetric pivot tolerance used: 0.001
matrix scaled: yes (divided each row by sum abs value in each row)	1114	1114	matrix scaled: yes (divided each row by sum abs value in each row)
minimum sum (abs (rows of A)): 5.10000e+00	1115	1115	minimum sum (abs (rows of A)): 5.10000e+00
maximum sum (abs (rows of A)): 7.64000e+01	1116	1116	maximum sum (abs (rows of A)): 7.64000e+01
initial allocation parameter used: 0.7	1117	1117	initial allocation parameter used: 0.7
frontal matrix allocation parameter used: 0.5	1118	1118	frontal matrix allocation parameter used: 0.5
final total size of Numeric object (Units): 75	1119	1119	final total size of Numeric object (Units): 75
final total size of Numeric object (MBytes): 0.0	1120	1120	final total size of Numeric object (MBytes): 0.0
peak size of variable-size part (Units): 1293	1121	1121	peak size of variable-size part (Units): 1293
peak size of variable-size part (MBytes): 0.0	1122	1122	peak size of variable-size part (MBytes): 0.0
largest actual frontal matrix size: 4	1123	1123	largest actual frontal matrix size: 4
memory defragmentations: 1	1124	1124	memory defragmentations: 1
memory reallocations: 1	1125	1125	memory reallocations: 1
costly memory reallocations: 0	1126	1126	costly memory reallocations: 0
entries in compressed pattern (L and U): 2	1127	1127	entries in compressed pattern (L and U): 2
number of nonzeros in L (excl diag): 3	1128	1128	number of nonzeros in L (excl diag): 3
number of entries stored in L (excl diag): 2	1129	1129	number of entries stored in L (excl diag): 2
number of nonzeros in U (excl diag): 5	1130	1130	number of nonzeros in U (excl diag): 5
number of entries stored in U (excl diag): 2	1131	1131	number of entries stored in U (excl diag): 2
factorization floating-point operations: 34	1132	1132	factorization floating-point operations: 34
number of nonzeros on diagonal of U: 5	1133	1133	number of nonzeros on diagonal of U: 5
min abs. value on diagonal of U: 2.40964e-01	1134	1134	min abs. value on diagonal of U: 2.40964e-01
max abs. value on diagonal of U: 9.13625e-01	1135	1135	max abs. value on diagonal of U: 9.13625e-01
reciprocal condition number estimate: 2.64e-01	1136	1136	reciprocal condition number estimate: 2.64e-01
	1137	1137
Scale factors applied via multiplication	1138	1138	Scale factors applied via multiplication
Scale factors, Rs: dense vector, n = 5.	1139	1139	Scale factors, Rs: dense vector, n = 5.
0 : (0.196078)	1140	1140	0 : (0.196078)
1 : (0.0319489)	1141	1141	1 : (0.0319489)
2 : (0.0133869)	1142	1142	2 : (0.0133869)
3 : (0.030303)	1143	1143	3 : (0.030303)
4 : (0.013089)	1144	1144	4 : (0.013089)
dense vector OK	1145	1145	dense vector OK
	1146	1146
	1147	1147
P: row permutation vector, n = 5.	1148	1148	P: row permutation vector, n = 5.
0 : 2	1149	1149	0 : 2
1 : 3	1150	1150	1 : 3
2 : 0	1151	1151	2 : 0
3 : 4	1152	1152	3 : 4
4 : 1	1153	1153	4 : 1
permutation vector OK	1154	1154	permutation vector OK
	1155	1155
	1156	1156
Q: column permutation vector, n = 5.	1157	1157	Q: column permutation vector, n = 5.
0 : 3	1158	1158	0 : 3
1 : 2	1159	1159	1 : 2
2 : 0	1160	1160	2 : 0
3 : 4	1161	1161	3 : 4
4 : 1	1162	1162	4 : 1
permutation vector OK	1163	1163	permutation vector OK
	1164	1164
	1165	1165
L in Numeric object, in column-oriented compressed-pattern form:	1166	1166	L in Numeric object, in column-oriented compressed-pattern form:
Diagonal entries are all equal to 1.0 (not stored)	1167	1167	Diagonal entries are all equal to 1.0 (not stored)
	1168	1168
column 0: length 0.	1169	1169	column 0: length 0.
	1170	1170
column 1: length 1.	1171	1171	column 1: length 1.
row 4 : (0.240091 + 0.0591529i)	1172	1172	row 4 : (0.240091 + 0.0591529i)
	1173	1173
column 2: add 1 entries. length 1. Start of Lchain.	1174	1174	column 2: add 1 entries. length 1. Start of Lchain.
row 4 : (0.847284 + 0.423642i)	1175	1175	row 4 : (0.847284 + 0.423642i)
	1176	1176
column 3: length 1.	1177	1177	column 3: length 1.
row 4 : (0.659838 - 0.0126577i)	1178	1178	row 4 : (0.659838 - 0.0126577i)
	1179	1179
column 4: length 0. Start of Lchain.	1180	1180	column 4: length 0. Start of Lchain.
	1181	1181
	1182	1182
U in Numeric object, in row-oriented compressed-pattern form:	1183	1183	U in Numeric object, in row-oriented compressed-pattern form:
Diagonal is stored separately.	1184	1184	Diagonal is stored separately.
	1185	1185
row 4: length 0. End of Uchain.	1186	1186	row 4: length 0. End of Uchain.
	1187	1187
row 3: length 1. End of Uchain.	1188	1188	row 3: length 1. End of Uchain.
col 4 : (0.510471 + 0i)	1189	1189	col 4 : (0.510471 + 0i)
	1190	1190
row 2: length 1.	1191	1191	row 2: length 1.
col 4 : (0.392157 - 0.0196078i)	1192	1192	col 4 : (0.392157 - 0.0196078i)
	1193	1193
row 1: length 0. End of Uchain.	1194	1194	row 1: length 0. End of Uchain.
	1195	1195
row 1: length 0.	1196	1196	row 1: length 0.
	1197	1197
row 0: length 3.	1198	1198	row 0: length 3.
col 1 : (0.200803 + 0.00267738i)	1199	1199	col 1 : (0.200803 + 0.00267738i)
col 3 : (0.240964 - 0.00401606i)	1200	1200	col 3 : (0.240964 - 0.00401606i)
col 4 : (0.307898 - 0.00267738i)	1201	1201	col 4 : (0.307898 - 0.00267738i)
	1202	1202
	1203	1203
diagonal of U: dense vector, n = 5.	1204	1204	diagonal of U: dense vector, n = 5.
0 : (0.240964 + 0i)	1205	1205	0 : (0.240964 + 0i)
1 : (0.909091 - 0.0909091i)	1206	1206	1 : (0.909091 - 0.0909091i)
2 : (0.392157 - 0.196078i)	1207	1207	2 : (0.392157 - 0.196078i)
3 : (0.484293 - 0.0052356i)	1208	1208	3 : (0.484293 - 0.0052356i)
4 : (-0.677403 - 0.143059i)	1209	1209	4 : (-0.677403 - 0.143059i)
dense vector OK	1210	1210	dense vector OK
	1211	1211
Numeric object: OK	1212	1212	Numeric object: OK
	1213	1213
	1214	1214
L (lower triangular factor of C): row-form matrix, n_row 5 n_col 5, nz = 8.	1215	1215	L (lower triangular factor of C): row-form matrix, n_row 5 n_col 5, nz = 8.
	1216	1216
row 0: start: 0 end: 0 entries: 1	1217	1217	row 0: start: 0 end: 0 entries: 1
column 0 : (1 + 0i)	1218	1218	column 0 : (1 + 0i)
	1219	1219
row 1: start: 1 end: 1 entries: 1	1220	1220	row 1: start: 1 end: 1 entries: 1
column 1 : (1 + 0i)	1221	1221	column 1 : (1 + 0i)
	1222	1222
row 2: start: 2 end: 2 entries: 1	1223	1223	row 2: start: 2 end: 2 entries: 1
column 2 : (1 + 0i)	1224	1224	column 2 : (1 + 0i)
	1225	1225
row 3: start: 3 end: 3 entries: 1	1226	1226	row 3: start: 3 end: 3 entries: 1
column 3 : (1 + 0i)	1227	1227	column 3 : (1 + 0i)
	1228	1228
row 4: start: 4 end: 7 entries: 4	1229	1229	row 4: start: 4 end: 7 entries: 4
column 1 : (0.240091 + 0.0591529i)	1230	1230	column 1 : (0.240091 + 0.0591529i)
column 2 : (0.847284 + 0.423642i)	1231	1231	column 2 : (0.847284 + 0.423642i)
column 3 : (0.659838 - 0.0126577i)	1232	1232	column 3 : (0.659838 - 0.0126577i)
column 4 : (1 + 0i)	1233	1233	column 4 : (1 + 0i)
row-form matrix OK	1234	1234	row-form matrix OK
	1235	1235
	1236	1236
U (upper triangular factor of C): column-form matrix, n_row 5 n_col 5, nz = 10.	1237	1237	U (upper triangular factor of C): column-form matrix, n_row 5 n_col 5, nz = 10.
	1238	1238
column 0: start: 0 end: 0 entries: 1	1239	1239	column 0: start: 0 end: 0 entries: 1
row 0 : (0.240964 + 0i)	1240	1240	row 0 : (0.240964 + 0i)
	1241	1241
column 1: start: 1 end: 2 entries: 2	1242	1242	column 1: start: 1 end: 2 entries: 2
row 0 : (0.200803 + 0.00267738i)	1243	1243	row 0 : (0.200803 + 0.00267738i)
row 1 : (0.909091 - 0.0909091i)	1244	1244	row 1 : (0.909091 - 0.0909091i)
	1245	1245
column 2: start: 3 end: 3 entries: 1	1246	1246	column 2: start: 3 end: 3 entries: 1
row 2 : (0.392157 - 0.196078i)	1247	1247	row 2 : (0.392157 - 0.196078i)
	1248	1248
column 3: start: 4 end: 5 entries: 2	1249	1249	column 3: start: 4 end: 5 entries: 2
row 0 : (0.240964 - 0.00401606i)	1250	1250	row 0 : (0.240964 - 0.00401606i)
row 3 : (0.484293 - 0.0052356i)	1251	1251	row 3 : (0.484293 - 0.0052356i)
	1252	1252
column 4: start: 6 end: 9 entries: 4	1253	1253	column 4: start: 6 end: 9 entries: 4
row 0 : (0.307898 - 0.00267738i)	1254	1254	row 0 : (0.307898 - 0.00267738i)
row 2 : (0.392157 - 0.0196078i)	1255	1255	row 2 : (0.392157 - 0.0196078i)
row 3 : (0.510471 + 0i)	1256	1256	row 3 : (0.510471 + 0i)
row 4 : (-0.677403 - 0.143059i)	1257	1257	row 4 : (-0.677403 - 0.143059i)