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./cs_demo1 < ../Matrix/t1
T:
CSparse Version 3.1.8, Feb 17, 2016. Copyright (c) Timothy A. Davis, 2006-2016
triplet: 4-by-4, nzmax: 16 nnz: 10
2 2 : 3
1 0 : 3.1
3 3 : 1
0 2 : 3.2
1 1 : 2.9
3 0 : 3.5
3 1 : 0.4
1 3 : 0.9
0 0 : 4.5
2 1 : 1.7
A:
CSparse Version 3.1.8, Feb 17, 2016. Copyright (c) Timothy A. Davis, 2006-2016
4-by-4, nzmax: 10 nnz: 10, 1-norm: 11.1
col 0 : locations 0 to 2
1 : 3.1
3 : 3.5
0 : 4.5
col 1 : locations 3 to 5
1 : 2.9
3 : 0.4
2 : 1.7
col 2 : locations 6 to 7
2 : 3
0 : 3.2
col 3 : locations 8 to 9
3 : 1
1 : 0.9
AT:
CSparse Version 3.1.8, Feb 17, 2016. Copyright (c) Timothy A. Davis, 2006-2016
4-by-4, nzmax: 10 nnz: 10, 1-norm: 7.7
col 0 : locations 0 to 1
0 : 4.5
2 : 3.2
col 1 : locations 2 to 4
0 : 3.1
1 : 2.9
3 : 0.9
col 2 : locations 5 to 6
1 : 1.7
2 : 3
col 3 : locations 7 to 9
0 : 3.5
1 : 0.4
3 : 1
D:
CSparse Version 3.1.8, Feb 17, 2016. Copyright (c) Timothy A. Davis, 2006-2016
4-by-4, nzmax: 16 nnz: 16, 1-norm: 139.58
col 0 : locations 0 to 3
1 : 13.95
3 : 15.75
0 : 100.28
2 : 9.6
col 1 : locations 4 to 7
1 : 88.62
3 : 12.91
0 : 13.95
2 : 4.93
col 2 : locations 8 to 11
1 : 4.93
3 : 0.68
2 : 81.68
0 : 9.6
col 3 : locations 12 to 15
1 : 12.91
3 : 83.2
0 : 15.75
2 : 0.68
./cs_demo2 < ../Matrix/t1
--- Matrix: 4-by-4, nnz: 10 (sym: 0: nnz 0), norm: 1.11e+01
blocks: 1 singletons: 0 structural rank: 4
QR natural time: 0.00 resid: 3.06e-17
QR amd(A'*A) time: 0.00 resid: 3.06e-17
LU natural time: 0.00 resid: 1.53e-17
LU amd(A+A') time: 0.00 resid: 1.53e-17
LU amd(S'*S) time: 0.00 resid: 0.00e+00
LU amd(A'*A) time: 0.00 resid: 1.53e-17
./cs_demo2 < ../Matrix/ash219
--- Matrix: 219-by-85, nnz: 438 (sym: 0: nnz 0), norm: 9.00e+00
blocks: 1 singletons: 0 structural rank: 85
QR natural time: 0.00 resid: 1.61e-02
QR amd(A'*A) time: 0.00 resid: 1.61e-02
./cs_demo2 < ../Matrix/bcsstk01
--- Matrix: 48-by-48, nnz: 224 (sym: -1: nnz 400), norm: 3.57e+09
blocks: 1 singletons: 0 structural rank: 48
QR natural time: 0.00 resid: 2.62e-19
QR amd(A'*A) time: 0.00 resid: 5.27e-19
LU natural time: 0.00 resid: 2.17e-19
LU amd(A+A') time: 0.00 resid: 1.87e-19
LU amd(S'*S) time: 0.00 resid: 2.38e-19
LU amd(A'*A) time: 0.00 resid: 2.38e-19
Chol natural time: 0.00 resid: 2.64e-19
Chol amd(A+A') time: 0.00 resid: 2.55e-19
./cs_demo2 < ../Matrix/fs_183_1
--- Matrix: 183-by-183, nnz: 988 (sym: 0: nnz 0), norm: 1.70e+09
zero entries dropped: 71
tiny entries dropped: 10
blocks: 38 singletons: 37 structural rank: 183
QR natural time: 0.00 resid: 6.84e-28
QR amd(A'*A) time: 0.00 resid: 9.38e-28
LU natural time: 0.00 resid: 6.20e-28
LU amd(A+A') time: 0.00 resid: 1.55e-27
LU amd(S'*S) time: 0.00 resid: 6.98e-28
LU amd(A'*A) time: 0.00 resid: 6.98e-28
./cs_demo2 < ../Matrix/mbeacxc
--- Matrix: 492-by-490, nnz: 49920 (sym: 0: nnz 0), norm: 9.29e-01
blocks: 10 singletons: 8 structural rank: 448
QR natural time: 0.04 resid: nan
QR amd(A'*A) time: 0.06 resid: nan
./cs_demo2 < ../Matrix/west0067
--- Matrix: 67-by-67, nnz: 294 (sym: 0: nnz 0), norm: 6.14e+00
blocks: 2 singletons: 1 structural rank: 67
QR natural time: 0.00 resid: 7.14e-17
QR amd(A'*A) time: 0.00 resid: 3.10e-17
LU natural time: 0.00 resid: 3.89e-17
LU amd(A+A') time: 0.00 resid: 2.27e-17
LU amd(S'*S) time: 0.00 resid: 1.95e-17
LU amd(A'*A) time: 0.00 resid: 2.60e-17
./cs_demo2 < ../Matrix/lp_afiro
--- Matrix: 27-by-51, nnz: 102 (sym: 0: nnz 0), norm: 3.43e+00
blocks: 1 singletons: 0 structural rank: 27
QR natural time: 0.00 resid: 3.96e-16
QR amd(A'*A) time: 0.00 resid: 2.25e-16
./cs_demo2 < ../Matrix/bcsstk16
--- Matrix: 4884-by-4884, nnz: 147631 (sym: -1: nnz 290378), norm: 7.01e+09
blocks: 75 singletons: 74 structural rank: 4884
QR amd(A'*A) time: 0.54 resid: 1.39e-22
LU amd(A+A') time: 0.28 resid: 1.10e-22
LU amd(S'*S) time: 0.29 resid: 1.28e-22
LU amd(A'*A) time: 0.31 resid: 1.78e-22
Chol amd(A+A') time: 0.09 resid: 1.19e-22
./cs_demo3 < ../Matrix/bcsstk01
--- Matrix: 48-by-48, nnz: 224 (sym: -1: nnz 400), norm: 3.57e+09
chol then update/downdate amd(A+A')
symbolic chol time 0.00
numeric chol time 0.00
solve chol time 0.00
original: resid: 2.55e-19
update: time: 0.00
update: time: 0.00 (incl solve) resid: 3.52e-18
rechol: time: 0.00 (incl solve) resid: 2.93e-18
downdate: time: 0.00
downdate: time: 0.00 (incl solve) resid: 4.32e-17
./cs_demo3 < ../Matrix/bcsstk16
--- Matrix: 4884-by-4884, nnz: 147631 (sym: -1: nnz 290378), norm: 7.01e+09
chol then update/downdate amd(A+A')
symbolic chol time 0.01
numeric chol time 0.09
solve chol time 0.00
original: resid: 1.19e-22
update: time: 0.00
update: time: 0.00 (incl solve) resid: 1.71e-23
rechol: time: 0.08 (incl solve) resid: 1.61e-23
downdate: time: 0.00
downdate: time: 0.00 (incl solve) resid: 1.24e-21
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