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Matrix key: QC324
UMFPACK V5.1.0 (May 31, 2007), Control:
Matrix entry defined as: double complex
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: 16 (in bytes)
symbolic analysis:
status: 0.
time: 0.00E+00 (sec)
estimates (upper bound) for numeric LU:
size of LU: 1.17 (MB)
memory needed: 2.40 (MB)
flop count: 0.26E+08
nnz (L): 24027.
nnz (U): 39609.
numeric factorization:
status: 0.
time: 0.10E-01
actual numeric LU statistics:
size of LU: 0.72 (MB)
memory needed: 1.14 (MB)
flop count: 0.14E+08
nnz (L): 23247.
nnz (U): 23247.
UMFPACK V5.1.0 (May 31, 2007), Info:
matrix entry defined as: double complex
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: 324
number of columns in matrix A: 324
entries in matrix A: 26730
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: 16 bytes
strategy used: symmetric
ordering used: amd on A+A'
modify Q during factorization: no
prefer diagonal pivoting: yes
pivots with zero Markowitz cost: 0
submatrix S after removing zero-cost pivots:
number of "dense" rows: 324
number of "dense" columns: 0
number of empty rows: 0
number of empty columns 0
submatrix S square and diagonal preserved
pattern of square submatrix S:
number rows and columns 324
symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 26406
nz on diagonal of matrix S: 324
fraction of nz on diagonal: 1.000000
AMD statistics, for strict diagonal pivoting:
est. flops for LU factorization: 1.55342e+07
est. nz in L+U (incl. diagonal): 47730
est. largest front (# entries): 14641
est. max nz in any column of L: 121
number of "dense" rows/columns in S+S': 0
symbolic factorization defragmentations: 0
symbolic memory usage (Units): 63473
symbolic memory usage (MBytes): 0.5
Symbolic size (Units): 1425
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)): 2.55982e-01
maximum sum (abs (rows of A)): 1.82217e+00
symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:
initial size (Units) 98341 97691 99%
peak size (Units) 307744 142557 46%
final size (Units) 150384 92058 61%
Numeric final size (Units) 153188 94700 62%
Numeric final size (MBytes) 1.2 0.7 62%
peak memory usage (Units) 314864 149677 48%
peak memory usage (MBytes) 2.4 1.1 48%
numeric factorization flops 2.56313e+07 1.43519e+07 56%
nz in L (incl diagonal) 24027 23247 97%
nz in U (incl diagonal) 39609 23247 59%
nz in L+U (incl diagonal) 63312 46170 73%
largest front (# entries) 19723 6724 34%
largest # rows in front 121 82 68%
largest # columns in front 163 82 50%
initial allocation ratio used: 1.2
# of forced updates due to frontal growth: 0
number of off-diagonal pivots: 0
nz in L (incl diagonal), if none dropped 23247
nz in U (incl diagonal), if none dropped 23247
number of small entries dropped 0
nonzeros on diagonal of U: 324
min abs. value on diagonal of U: 5.47e-03
max abs. value on diagonal of U: 8.25e-01
estimate of reciprocal of condition number: 6.63e-03
indices in compressed pattern: 485
numerical values stored in Numeric object: 46170
numeric factorization defragmentations: 0
numeric factorization reallocations: 0
costly numeric factorization reallocations: 0
numeric factorization CPU time (sec): 0.01
numeric factorization wallclock time (sec): 0.02
numeric factorization mflops (CPU time): 1435.19
numeric factorization mflops (wallclock): 717.60
solve flops: 3.70332e+05
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: 1.47223e+07
norm (A*x-b): 0.
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