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.