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comparison liboctave/UMFPACK/UMFPACK/Demo/umf4hb.out @ 5164:57077d0ddc8e

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[project @ 2005-02-25 19:55:24 by jwe]
author jwe
date Fri, 25 Feb 2005 19:55:28 +0000
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5163:9f3299378193 5164:57077d0ddc8e
1 Matrix key: WEST0067
2
3 UMFPACK V4.4 (Jan. 28, 2005), Control:
4
5 Matrix entry defined as: double
6 Int (generic integer) defined as: int
7
8 0: print level: 2
9 1: dense row parameter: 0.2
10 "dense" rows have > max (16, (0.2)*16*sqrt(n_col) entries)
11 2: dense column parameter: 0.2
12 "dense" columns have > max (16, (0.2)*16*sqrt(n_row) entries)
13 3: pivot tolerance: 0.1
14 4: block size for dense matrix kernels: 32
15 5: strategy: 0 (auto)
16 6: initial allocation ratio: 0.7
17 7: max iterative refinement steps: 2
18 12: 2-by-2 pivot tolerance: 0.01
19 13: Q fixed during numerical factorization: 0 (auto)
20 14: AMD dense row/col parameter: 10
21 "dense" rows/columns have > max (16, (10)*sqrt(n)) entries
22 Only used if the AMD ordering is used.
23 15: diagonal pivot tolerance: 0.001
24 Only used if diagonal pivoting is attempted.
25 16: scaling: 1 (divide each row by sum of abs. values in each row)
26 17: frontal matrix allocation ratio: 0.5
27 18: drop tolerance: 0
28 19: AMD and COLAMD aggressive absorption: 1 (yes)
29
30 The following options can only be changed at compile-time:
31 8: BLAS library used: none. UMFPACK will be slow.
32 9: compiled for ANSI C (uses malloc, free, realloc, and printf)
33 10: CPU timer is POSIX times ( ) routine.
34 11: compiled for normal operation (debugging disabled)
35 computer/operating system: Linux
36 size of int: 4 long: 4 Int: 4 pointer: 4 double: 8 Entry: 8 (in bytes)
37
38 symbolic analysis:
39 status: 0.
40 time: 0.00E+00 (sec)
41 estimates (upper bound) for numeric LU:
42 size of LU: 0.02 (MB)
43 memory needed: 0.06 (MB)
44 flop count: 0.14E+05
45 nnz (L): 542.
46 nnz (U): 902.
47 numeric factorization:
48 status: 0.
49 time: 0.00E+00
50 actual numeric LU statistics:
51 size of LU: 0.01 (MB)
52 memory needed: 0.04 (MB)
53 flop count: 0.26E+04
54 nnz (L): 329.
55 nnz (U): 340.
56
57 UMFPACK V4.4 (Jan. 28, 2005), Info:
58 matrix entry defined as: double
59 Int (generic integer) defined as: int
60 BLAS library used: none. UMFPACK will be slow.
61 MATLAB: no.
62 CPU timer: POSIX times ( ) routine.
63 number of rows in matrix A: 67
64 number of columns in matrix A: 67
65 entries in matrix A: 294
66 memory usage reported in: 8-byte Units
67 size of int: 4 bytes
68 size of long: 4 bytes
69 size of pointer: 4 bytes
70 size of numerical entry: 8 bytes
71
72 strategy used: unsymmetric
73 ordering used: colamd on A
74 modify Q during factorization: yes
75 prefer diagonal pivoting: no
76 pivots with zero Markowitz cost: 1
77 submatrix S after removing zero-cost pivots:
78 number of "dense" rows: 0
79 number of "dense" columns: 0
80 number of empty rows: 0
81 number of empty columns 0
82 submatrix S not square or diagonal not preserved
83 symbolic factorization defragmentations: 1
84 symbolic memory usage (Units): 1632
85 symbolic memory usage (MBytes): 0.0
86 Symbolic size (Units): 245
87 Symbolic size (MBytes): 0
88 symbolic factorization CPU time (sec): 0.00
89 symbolic factorization wallclock time(sec): 0.00
90
91 matrix scaled: yes (divided each row by sum of abs values in each row)
92 minimum sum (abs (rows of A)): 1.00000e+00
93 maximum sum (abs (rows of A)): 6.59006e+00
94
95 symbolic/numeric factorization: upper bound actual %
96 variable-sized part of Numeric object:
97 initial size (Units) 1643 1574 96%
98 peak size (Units) 6115 3581 59%
99 final size (Units) 1628 685 42%
100 Numeric final size (Units) 2101 1125 54%
101 Numeric final size (MBytes) 0.0 0.0 54%
102 peak memory usage (Units) 7462 4928 66%
103 peak memory usage (MBytes) 0.1 0.0 66%
104 numeric factorization flops 1.41920e+04 2.58700e+03 18%
105 nz in L (incl diagonal) 542 329 61%
106 nz in U (incl diagonal) 902 340 38%
107 nz in L+U (incl diagonal) 1377 602 44%
108 largest front (# entries) 483 80 17%
109 largest # rows in front 21 10 48%
110 largest # columns in front 23 11 48%
111
112 initial allocation ratio used: 0.7
113 # of forced updates due to frontal growth: 0
114 nz in L (incl diagonal), if none dropped 329
115 nz in U (incl diagonal), if none dropped 340
116 number of small entries dropped 0
117 nonzeros on diagonal of U: 67
118 min abs. value on diagonal of U: 2.74e-02
119 max abs. value on diagonal of U: 2.28e+00
120 estimate of reciprocal of condition number: 1.20e-02
121 indices in compressed pattern: 256
122 numerical values stored in Numeric object: 605
123 numeric factorization defragmentations: 1
124 numeric factorization reallocations: 1
125 costly numeric factorization reallocations: 0
126 numeric factorization CPU time (sec): 0.00
127 numeric factorization wallclock time (sec): 0.00
128 symbolic + numeric CPU time (sec): 0.00
129 symbolic + numeric wall clock time (sec): 0.00
130
131 solve flops: 1.20400e+03
132 iterative refinement steps taken: 0
133 iterative refinement steps attempted: 0
134 solve CPU time (sec): 0.00
135 solve wall clock time (sec): 0.00
136
137 total symbolic + numeric + solve flops: 3.79100e+03
138 total symbolic + numeric + solve CPU time: 0.00
139 total symbolic+numeric+solve wall clock time: 0.00
140
141 norm (A*x-b): 2.22044605E-15
142 norm (A*x-b): 1.05076538E-14
143 norm (A*x-b): 1.05076538E-14