umf4hb.out
6.2 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
Matrix key: WEST0067
UMFPACK V5.1.0 (May 31, 2007), Control:
Matrix entry defined as: double
Int (generic integer) defined as: int
0: print level: 2
1: dense row parameter: 0.2
"dense" rows have > max (16, (0.2)*16*sqrt(n_col) entries)
2: dense column parameter: 0.2
"dense" columns have > max (16, (0.2)*16*sqrt(n_row) entries)
3: pivot tolerance: 0.1
4: block size for dense matrix kernels: 32
5: strategy: 0 (auto)
6: initial allocation ratio: 0.7
7: max iterative refinement steps: 2
12: 2-by-2 pivot tolerance: 0.01
13: Q fixed during numerical factorization: 0 (auto)
14: AMD dense row/col parameter: 10
"dense" rows/columns have > max (16, (10)*sqrt(n)) entries
Only used if the AMD ordering is used.
15: diagonal pivot tolerance: 0.001
Only used if diagonal pivoting is attempted.
16: scaling: 1 (divide each row by sum of abs. values in each row)
17: frontal matrix allocation ratio: 0.5
18: drop tolerance: 0
19: AMD and COLAMD aggressive absorption: 1 (yes)
The following options can only be changed at compile-time:
8: BLAS library used: Fortran BLAS. size of BLAS integer: 4
9: compiled for ANSI C
10: CPU timer is POSIX times ( ) routine.
11: compiled for normal operation (debugging disabled)
computer/operating system: Linux
size of int: 4 UF_long: 8 Int: 4 pointer: 8 double: 8 Entry: 8 (in bytes)
symbolic analysis:
status: 0.
time: 0.00E+00 (sec)
estimates (upper bound) for numeric LU:
size of LU: 0.02 (MB)
memory needed: 0.06 (MB)
flop count: 0.14E+05
nnz (L): 542.
nnz (U): 902.
numeric factorization:
status: 0.
time: 0.00E+00
actual numeric LU statistics:
size of LU: 0.01 (MB)
memory needed: 0.04 (MB)
flop count: 0.25E+04
nnz (L): 323.
nnz (U): 339.
UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double
Int (generic integer) defined as: int
BLAS library used: Fortran BLAS. size of BLAS integer: 4
MATLAB: no.
CPU timer: POSIX times ( ) routine.
number of rows in matrix A: 67
number of columns in matrix A: 67
entries in matrix A: 294
memory usage reported in: 8-byte Units
size of int: 4 bytes
size of UF_long: 8 bytes
size of pointer: 8 bytes
size of numerical entry: 8 bytes
strategy used: unsymmetric
ordering used: colamd on A
modify Q during factorization: yes
prefer diagonal pivoting: no
pivots with zero Markowitz cost: 1
submatrix S after removing zero-cost pivots:
number of "dense" rows: 0
number of "dense" columns: 0
number of empty rows: 0
number of empty columns 0
submatrix S not square or diagonal not preserved
symbolic factorization defragmentations: 1
symbolic memory usage (Units): 1639
symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 252
Symbolic size (MBytes): 0
symbolic factorization CPU time (sec): 0.00
symbolic factorization wallclock time(sec): 0.00
matrix scaled: yes (divided each row by sum of abs values in each row)
minimum sum (abs (rows of A)): 1.00000e+00
maximum sum (abs (rows of A)): 6.59006e+00
symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:
initial size (Units) 1711 1577 92%
peak size (Units) 6115 3581 59%
final size (Units) 1628 682 42%
Numeric final size (Units) 2108 1129 54%
Numeric final size (MBytes) 0.0 0.0 54%
peak memory usage (Units) 7476 4942 66%
peak memory usage (MBytes) 0.1 0.0 66%
numeric factorization flops 1.41920e+04 2.50100e+03 18%
nz in L (incl diagonal) 542 323 60%
nz in U (incl diagonal) 902 339 38%
nz in L+U (incl diagonal) 1377 595 43%
largest front (# entries) 483 80 17%
largest # rows in front 21 10 48%
largest # columns in front 23 11 48%
initial allocation ratio used: 0.7
# of forced updates due to frontal growth: 0
nz in L (incl diagonal), if none dropped 323
nz in U (incl diagonal), if none dropped 339
number of small entries dropped 0
nonzeros on diagonal of U: 67
min abs. value on diagonal of U: 2.74e-02
max abs. value on diagonal of U: 2.28e+00
estimate of reciprocal of condition number: 1.20e-02
indices in compressed pattern: 263
numerical values stored in Numeric object: 599
numeric factorization defragmentations: 1
numeric factorization reallocations: 1
costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.00
numeric factorization wallclock time (sec): 0.00
solve flops: 1.19000e+03
iterative refinement steps taken: 0
iterative refinement steps attempted: 0
solve CPU time (sec): 0.00
solve wall clock time (sec): 0.00
total symbolic + numeric + solve flops: 3.69100e+03
norm (A*x-b): 0.
norm (A*x-b): 0.
norm (A*x-b): 0.