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My demo
Date from #include 'my.h': Mar 6, 2025
Date from compiled library: Mar 6, 2025
version from #include 'my.h.': 1.8.6
version from compiled library: 1.8.6
------------------------------------------------------------
MY: v1.8.6 (Mar 6, 2025)
MY: v1.8.6 (in library)
MY version code: 1008006
MY date: Mar 6, 2025
------------------------------------------------------------
SuiteSparse_config: v7.10.1 (Mar 6, 2025)
SuiteSparse_config: v7.10.1 (in library)
SuiteSparse_config version code: 7010001
------------------------------------------------------------
CXSparse: v4.4.1 (June 20, 2024)
CXSparse: v4.4.1 (in library)
CXSparse version code: 4004001
CXSparse Version 4.4.1, June 20, 2024. Copyright (c) Timothy A. Davis, 2006-2024
2-by-2, nzmax: 4 nnz: 4, 1-norm: 34
col 0 : locations 0 to 1
0 : 11
1 : 21
col 1 : locations 2 to 3
0 : 12
1 : 22
------------------------------------------------------------
AMD: v3.3.3 (June 20, 2024)
AMD: v3.3.3 (in library)
AMD version code: 3003003
P [0] = 0
P [1] = 1
------------------------------------------------------------
BTF: v2.3.2 (Mar 22, 2024)
BTF: v2.3.2 (in library)
BTF version code: 2003002
P [0] = 0
P [1] = 1
Q [0] = 0
Q [1] = 1
nblocks 1
------------------------------------------------------------
CAMD: v3.3.3 (June 20, 2024)
CAMD: v3.3.3 (in library)
CAMD version code: 3003003
P [0] = 0
P [1] = 1
------------------------------------------------------------
CCOLAMD: v3.3.4 (June 20, 2024)
CCOLAMD: v3.3.4 (in library)
CCOLAMD version code: 3003004
P [0] = 0
P [1] = 1
------------------------------------------------------------
COLAMD: v3.3.4 (June 20, 2024)
COLAMD: v3.3.4 (in library)
COLAMD version code: 3003004
P [0] = 0
P [1] = 1
------------------------------------------------------------
CHOLMOD: v5.3.1 (Feb 20, 2025)
CHOLMOD: v5.3.1 (in library)
CHOLMOD version code: 5003001
------------------------------------------------------------
GraphBLAS: v10.0.1 (Mar 6, 2025)
GraphBLAS: v10.0.1 (in library)
GraphBLAS version code: 10000001
------------------------------------------------------------
LAGraph: v1.1.5 (Feb 20, 2025)
LAGraph: v1.1.5 (in library)
LAGraph version code: 1001005
------------------------------------------------------------
KLU: v2.3.5 (Oct 10, 2024)
KLU: v2.3.5 (in library)
KLU version code: 2003005
x [0] = 36.4
x [1] = -32.7
error: 7.10543e-14
------------------------------------------------------------
LDL: v3.3.2 (Mar 22, 2024)
LDL: v3.3.2 (in library)
LDL version code: 3003002
x2 [0] = 36.4
x2 [1] = -32.7
error: 0
------------------------------------------------------------
RBio: v4.3.4 (Oct 10, 2024)
RBio: v4.3.4 (in library)
RBio version code: 4003004
njumbled 0, nzeros 0
result 0
mtype: iua
2-by-2 matrix |simple
3 1 1 1
iua 2 2 4 0
(40I2) (40I2) (26I3)
1 3 5
1 2 1 2
11 21 12 22
------------------------------------------------------------
SPEX: v3.2.3 (Feb 20, 2025)
SPEX: v3.2.3 (in library)
SPEX version code: 3002003
------------------------------------------------------------
SuiteSparseQR: v4.3.4 (June 20, 2024)
SuiteSparseQR: v4.3.4 (in library)
SuiteSparseQR version code: 4003004
CHOLMOD dense: X from QR: 2-by-1,
leading dimension 2, nzmax 2, real, double
col 0:
0: 36.4
1: -32.7
OK
------------------------------------------------------------
UMFPACK: v6.3.5 (Sept 23, 2024)
UMFPACK: v6.3.5 (in library)
UMFPACK version code: 6003005
UMFPACK V6.3.5 (Sept 23, 2024)
UMFPACK: Copyright (c) 2005-2024 by Timothy A. Davis. All Rights Reserved.
UMFPACK License: SPDX-License-Identifier: GPL-2.0+
UMFPACK is available under alternate licenses,
contact T. Davis for details.
BLAS used: Other BLAS (32-bit integers)
BLAS integer size: 4 bytes
x [0] = 36.4
x [1] = -32.7
error: 5.68434e-14
UMFPACK: Copyright (c) 2005-2024 by Timothy A. Davis. All Rights Reserved.
UMFPACK License: SPDX-License-Identifier: GPL-2.0+
UMFPACK is available under alternate licenses,
contact T. Davis for details.
Availability: http://www.suitesparse.com
UMFPACK V6.3.5 (Sept 23, 2024): OK
UMFPACK V6.3.5 (Sept 23, 2024), Info:
matrix entry defined as: double
Int (generic integer) defined as: int64_t
BLAS library used: Other BLAS (32-bit integers). size of BLAS integer: 4
MATLAB: no.
CPU timer: omp_get_wtime
number of rows in matrix A: 2
number of columns in matrix A: 2
entries in matrix A: 4
memory usage reported in: 16-byte Units
size of int32_t: 4 bytes
size of int64_t: 8 bytes
size of pointer: 8 bytes
size of numerical entry: 8 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: 0
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 2
symmetry of nonzero pattern: 1.000000
nz in S+S' (excl. diagonal): 2
nz on diagonal of matrix S: 2
fraction of nz on diagonal: 1.000000
ordering statistics, for strict diagonal pivoting:
est. flops for LU factorization: 3.00000e+00
est. nz in L+U (incl. diagonal): 4
est. largest front (# entries): 4
est. max nz in any column of L: 2
number of "dense" rows/columns in S+S': 0
symbolic factorization defragmentations: 0
symbolic memory usage (Units): 81
symbolic memory usage (MBytes): 0.0
Symbolic size (Units): 40
Symbolic size (MBytes): 0
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)): 2.30000e+01
maximum sum (abs (rows of A)): 4.30000e+01
symbolic/numeric factorization: upper bound actual %
variable-sized part of Numeric object:
initial size (Units) 45 40 89%
peak size (Units) 638 636 100%
final size (Units) 3 5 167%
Numeric final size (Units) 50 51 102%
Numeric final size (MBytes) 0.0 0.0 102%
peak memory usage (Units) 758 756 100%
peak memory usage (MBytes) 0.0 0.0 100%
numeric factorization flops 3.00000e+00 3.00000e+00 100%
nz in L (incl diagonal) 3 3 100%
nz in U (incl diagonal) 3 3 100%
nz in L+U (incl diagonal) 4 4 100%
largest front (# entries) 6 4 67%
largest # rows in front 3 2 67%
largest # columns in front 2 2 100%
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 3
nz in U (incl diagonal), if none dropped 3
number of small entries dropped 0
nonzeros on diagonal of U: 2
min abs. value on diagonal of U: 2.11e-02
max abs. value on diagonal of U: 4.78e-01
estimate of reciprocal of condition number: 4.42e-02
indices in compressed pattern: 2
numerical values stored in Numeric object: 4
numeric factorization defragmentations: 0
numeric factorization reallocations: 0
costly numeric factorization reallocations: 0
numeric factorization wallclock time (sec): 0.00
solve flops: 4.20000e+01
iterative refinement steps taken: 0
iterative refinement steps attempted: 0
sparse backward error omega1: 7.44e-17
sparse backward error omega2: 0.00e+00
solve wall clock time (sec): 0.00
total symbolic + numeric + solve flops: 4.50000e+01
|
