-
1
-
-
0030491606
-
An approximate minimum degree ordering algorithm
-
AMESTOY, P. R., DAVIS, T. A., AND DUFF, I. S. 1996a. An approximate minimum degree ordering algorithm. SIAM J. Matrix Anal. Appl. 17, 4, 886-905.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, Issue.4
, pp. 886-905
-
-
Amestoy, P.R.1
Davis, T.A.2
Duff, I.S.3
-
2
-
-
2942699190
-
Algorithm 837: AMD, an approximate minimum degree ordering algorithm
-
AMESTOY, P. R., DAVIS, T. A., AND DUFF, I. S. 2004. Algorithm 837: AMD, an approximate minimum degree ordering algorithm. ACM Trans. Math. Softw. 30, 3, 381-388.
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, Issue.3
, pp. 381-388
-
-
Amestoy, P.R.1
Davis, T.A.2
Duff, I.S.3
-
3
-
-
84964118784
-
Vectorization of a multiprocessor multifrontal code
-
AMESTOY, P. R. AND DUFF, I. S. 1989. Vectorization of a multiprocessor multifrontal code. Intl. J. Supercomp. Appl. 3, 3, 41-59.
-
(1989)
Intl. J. Supercomp. Appl.
, vol.3
, Issue.3
, pp. 41-59
-
-
Amestoy, P.R.1
Duff, I.S.2
-
4
-
-
21344466930
-
Multifrontal QR factorization in a multiprocessor environment
-
AMESTOY, P. R., DUFF, I. S., AND PUGLISI, C. 1996b. Multifrontal QR factorization in a multiprocessor environment. Numer. Linear Algebra Appl. 3, 4, 275-300.
-
(1996)
Numer. Linear Algebra Appl.
, vol.3
, Issue.4
, pp. 275-300
-
-
Amestoy, P.R.1
Duff, I.S.2
Puglisi, C.3
-
5
-
-
0037265624
-
An unsymmetrized multifrontal LU factorization
-
DOI 10.1137/S0895479800375370, PII S0895479800375370
-
AMESTOY, P. R. AND PUGLISI, C. 2002. An unsymmetrized multifrontal LU factorization. SIAM J. Matrix Anal. Appl. 24, 553-569. (Pubitemid 36446422)
-
(2003)
SIAM Journal on Matrix Analysis and Applications
, vol.24
, Issue.2
, pp. 553-569
-
-
Amestoy, P.R.1
Puglisi, C.2
-
6
-
-
0003706460
-
-
3rd Ed. SIAM, Philadelphia, PA
-
ANDERSON, E., BAI, Z., BISCHOF, C. H., BLACKFORD, S., DEMMEL, J. W., DONGARRA, J. J., DU CROZ, J., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., AND SORENSEN, D. C. 1999. LAPACK Users' Guide 3rd Ed. SIAM, Philadelphia, PA.
-
(1999)
LAPACK Users' Guide
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.H.3
Blackford, S.4
Demmel, J.W.5
Dongarra, J.J.6
Croz J, D.U.7
Greenbaum, A.8
Hammarling, S.9
McKenney, A.10
Sorensen, D.C.11
-
7
-
-
0024901312
-
Influence of relaxed supernode partitions on the multifrontal method
-
DOI 10.1145/76909.76910
-
ASHCRAFT, C. C. AND GRIMES, R. 1989. The influence of relaxed supernode partitions on the multifrontal method. ACM Trans. Math. Softw. 15, 4, 291-309. (Pubitemid 20636831)
-
(1989)
ACM Transactions on Mathematical Software
, vol.15
, Issue.4
, pp. 291-309
-
-
Ashcraft Cleve1
Grimes Roger2
-
8
-
-
0001424793
-
Incremental condition estimation for sparse matrices
-
BISCHOF, C. H., LEWIS, J. G., AND PIERCE, D. J. 1990. Incremental condition estimation for sparse matrices. SIAM J. Matrix Anal. Appl. 11, 4, 644-659.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, Issue.4
, pp. 644-659
-
-
Bischof, C.H.1
Lewis, J.G.2
Pierce, D.J.3
-
9
-
-
0001951009
-
The WY representation for products of Householder vectors
-
BISCHOF, C. H. AND VAN LOAN, C. F. 1987. The WY representation for products of Householder vectors. SIAM J. Sci. Statist. Comput. 8, 1, s2-s13.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, Issue.1
-
-
Bischof, C.H.1
Van Loan, C.F.2
-
11
-
-
0003615167
-
-
SIAM, Philadelphia, PA
-
BLACKFORD, L. S., CHOI, J., CLEARY, A., D'AZEVEDO, E., DEMMEL, J., DHILLON, I., DONGARRA, J., HAMMARLING, S., HENRY, G., PETITET, A., STANLEY, K.,WALKER, D., ANDWHALEY, R. C. 1997. ScaLAPACK User's Guide. SIAM, Philadelphia, PA.
-
(1997)
ScaLAPACK User's Guide.
-
-
Blackford, L.S.1
Choi, J.2
Cleary, A.3
D'Azevedo, E.4
Demmel, J.5
Dhillon, I.6
Dongarra, J.7
Hammarling, S.8
Henry, G.9
Petitet, A.10
Stanley, K.11
Walker, D.12
Whaley, R.C.13
-
12
-
-
54949115201
-
-
MIT Press, Cambridge, MA
-
CHAPMAN, B., JOST, G., AND VAN DER PAS, R. 2007. Using OpenMP: Portable Shared Memory Parallel Programming. MIT Press, Cambridge, MA.
-
(2007)
Using OpenMP: Portable Shared Memory Parallel Programming.
-
-
Chapman, B.1
Jost, G.2
Van Der Pas, R.3
-
13
-
-
56349128770
-
Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate
-
CHEN, Y., DAVIS, T. A., HAGER, W. W., AND RAJAMANICKAM, S. 2008. Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate. ACM Trans. Math. Softw. 35, 3, 1-14.
-
(2008)
ACM Trans. Math. Softw.
, vol.35
, Issue.3
, pp. 1-14
-
-
Chen, Y.1
Davis, T.A.2
Hager, W.W.3
Rajamanickam, S.4
-
14
-
-
0022756682
-
Predicting fill for sparse orthogonal factorization
-
DOI 10.1145/5925.5932
-
COLEMAN, T. F., EDENBRANDT, A., AND GILBERT, J. R. 1986. Predicting fill for sparse orthogonal factorization. J. ACM 33, 517-532. (Pubitemid 16589618)
-
(1986)
Journal of the ACM
, vol.33
, Issue.3
, pp. 517-532
-
-
Coleman Thomas, F.1
Edenbrandt Anders2
Gilbert John, R.3
-
15
-
-
2942655475
-
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
-
DAVIS, T. A. 2004. A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. ACM Trans. Math. Softw. 30, 2, 165-195.
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, Issue.2
, pp. 165-195
-
-
Davis, T.A.1
-
17
-
-
0031541111
-
An unsymmetric-pattern multifrontal method for sparse LU factorization
-
DAVIS, T. A. AND DUFF, I. S. 1997. An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAM J. Matrix Anal. Appl. 18, 1, 140-158.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, Issue.1
, pp. 140-158
-
-
Davis, T.A.1
Duff, I.S.2
-
18
-
-
2942647144
-
Algorithm 836: COLAMD, a column approximate minimum degree ordering algorithm
-
DAVIS, T. A., GILBERT, J. R., LARIMORE, S. I., AND NG, E. G. 2004a. Algorithm 836: COLAMD, a column approximate minimum degree ordering algorithm. ACM Trans. Math. Softw. 30, 3, 377-380.
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, Issue.3
, pp. 377-380
-
-
Davis, T.A.1
Gilbert, J.R.2
Larimore, S.I.3
G, N.G.E.4
-
19
-
-
8344231475
-
A column approximate minimum degree ordering algorithm
-
DAVIS, T. A., GILBERT, J. R., LARIMORE, S. I., AND NG, E. G. 2004b. A column approximate minimum degree ordering algorithm. ACM Trans. Math. Softw. 30, 3, 353-376.
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, Issue.3
, pp. 353-376
-
-
Davis, T.A.1
Gilbert, J.R.2
Larimore, S.I.3
G, N.G.E.4
-
21
-
-
0035537394
-
Multiple-rank modifications of a sparse Cholesky factorization
-
DAVIS, T. A. AND HAGER, W. W. 2001. Multiple-rank modifications of a sparse Cholesky factorization. SIAM J. Matrix Anal. Appl. 22, 997-1013.
-
(2001)
SIAM J. Matrix Anal. Appl.
, vol.22
, pp. 997-1013
-
-
Davis, T.A.1
Hager, W.W.2
-
22
-
-
56349122415
-
Dynamic supernodes in sparse cholesky update/downdate and triangular solves
-
DAVIS, T. A. AND HAGER,W.W. 2009. Dynamic supernodes in sparse cholesky update/downdate and triangular solves. ACM Trans. Math. Softw. 35, 4, 1-23.
-
(2009)
ACM Trans. Math. Softw.
, vol.35
, Issue.4
, pp. 1-23
-
-
Davis, T.A.1
Hager, W.W.2
-
23
-
-
81355161778
-
TheUniversity of Florida sparse matrix collection
-
DAVIS, T. A. ANDHU, Y. 2011. TheUniversity of Florida sparse matrix collection. ACMTrans.Math. Softw. 28, 1.
-
(2011)
ACMTrans.Math. Softw.
, vol.28
, pp. 1
-
-
Davis, T.A.1
Andhu, Y.2
-
24
-
-
0025402476
-
Set of level 3 basic linear algebra subprograms
-
DOI 10.1145/77626.79170
-
DONGARRA, J. J., DU CROZ, J. J., DUFF, I. S., AND HAMMARLING, S. 1990. A set of level 3 basic linear algebra subprograms. ACM Trans. Math. Softw. 16, 1-17. (Pubitemid 20684794)
-
(1990)
ACM Transactions on Mathematical Software
, vol.16
, Issue.1
, pp. 1-17
-
-
Dongarra, J.J.1
Du Croz, J.2
Hammarling, S.3
Duff, I.4
-
25
-
-
0011467042
-
On permutations to block triangular form
-
DUFF, I. S. 1977. On permutations to block triangular form. J. Inst. Math. Appl. 19, 339-342.
-
(1977)
J. Inst. Math. Appl.
, vol.19
, pp. 339-342
-
-
Duff, I.S.1
-
26
-
-
0019611965
-
On algorithms for obtaining amaximum transversal
-
DUFF, I. S. 1981. On algorithms for obtaining amaximum transversal. ACMTrans.Math. Softw. 7, 1, 315-330.
-
(1981)
ACMTrans.Math. Softw.
, vol.7
, Issue.1
, pp. 315-330
-
-
Duff, I.S.1
-
27
-
-
2942690049
-
MA57 - A code for the solution of sparse symmetric definite and indefinite systems
-
DUFF, I. S. 2004. MA57 - A code for the solution of sparse symmetric definite and indefinite systems. ACM Trans. Math. Softw. 30, 2, 118-144.
-
(2004)
ACM Trans. Math. Softw.
, vol.30
, Issue.2
, pp. 118-144
-
-
Duff, I.S.1
-
28
-
-
0020822138
-
Multifrontal solution of indefinite sparse symmetric linear equations
-
DOI 10.1145/356044.356047
-
DUFF, I. S. AND REID, J. K. 1983. The multifrontal solution of indefinite sparse symmetric linear systems. ACM Trans. Math. Softw. 9, 302-325. (Pubitemid 14454003)
-
(1983)
ACM Transactions on Mathematical Software
, vol.9
, Issue.3
, pp. 302-325
-
-
Duff, I.S.1
Reid, J.K.2
-
29
-
-
0000598547
-
The multifrontal solution of unsymmetric sets of linear equations
-
DUFF, I. S. AND REID, J. K. 1984. The multifrontal solution of unsymmetric sets of linear equations. SIAM J. Sci. Statist. Comput. 5, 3, 633-641.
-
(1984)
SIAM J. Sci. Statist. Comput.
, vol.5
, Issue.3
, pp. 633-641
-
-
Duff, I.S.1
Reid, J.K.2
-
30
-
-
0039488522
-
A software package for sparse orthogonal factorization and updating
-
DOI 10.1145/592843.592848
-
EDLUND, O. 2002. A software package for sparse orthogonal factorization and updating. ACM Trans. Math. Softw. 28, 4, 448-482. (Pubitemid 135688494)
-
(2002)
ACM Transactions on Mathematical Software
, vol.28
, Issue.4
, pp. 448-482
-
-
Edlund, O.1
-
32
-
-
0024717588
-
Task scheduling for parallel sparse Cholesky factorization
-
GEIST, G. A. AND NG, E. G. 1989. Task scheduling for parallel sparse Cholesky factorization. Intl. J. Parall. Program. 18, 4, 291-314. (Pubitemid 20721699)
-
(1989)
International Journal of Parallel Programming
, vol.18
, Issue.4
, pp. 291-314
-
-
Geist, G.A.1
Ng, E.2
-
33
-
-
0000264382
-
Nested dissection of a regular finite element mesh
-
GEORGE, A. 1973. Nested dissection of a regular finite element mesh. SIAM J. Numer. Anal. 10, 2, 345-363.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, Issue.2
, pp. 345-363
-
-
George, A.1
-
34
-
-
0002149257
-
Solution of sparse linear least squares problems using Givens rotations
-
GEORGE, A. AND HEATH, M. T. 1980. Solution of sparse linear least squares problems using Givens rotations. Linear Algebra Appl. 34, 69-83.
-
(1980)
Linear Algebra Appl.
, vol.34
, pp. 69-83
-
-
George, A.1
Heath, M.T.2
-
36
-
-
0001868413
-
A data structure for sparse QR and LU factorizations
-
GEORGE, A., LIU, J. W. H., AND NG, E. G. 1988. A data structure for sparse QR and LU factorizations. SIAM J. Sci. Statist. Comput. 9, 1, 100-121.
-
(1988)
SIAM J. Sci. Statist. Comput.
, vol.9
, Issue.1
, pp. 100-121
-
-
George, A.1
Liu, J.W.H.2
G, N.G.E.3
-
37
-
-
0000657206
-
Symbolic factorization for sparse Gaussian elimination with partial pivoting
-
GEORGE, A. AND NG, E. G. 1987. Symbolic factorization for sparse Gaussian elimination with partial pivoting. SIAM J. Sci. Statist. Comput. 8, 6, 877-898.
-
(1987)
SIAM J. Sci. Statist. Comput.
, vol.8
, Issue.6
, pp. 877-898
-
-
George, A.1
G, N.G.E.2
-
38
-
-
0042318563
-
Computing row and column counts for sparse QR and LU Factorization
-
GILBERT, J. R., LI, X. S., NG, E. G., AND PEYTON, B. W. 2001. Computing row and column counts for sparse QR and LU factorization. BIT 41, 4, 693-710. (Pubitemid 33631361)
-
(2001)
BIT Numerical Mathematics
, vol.41
, Issue.4
, pp. 693-710
-
-
Gilbert, J.R.1
Li, X.S.2
Ng, E.G.3
Peyton, B.W.4
-
39
-
-
0000470989
-
Sparse matrices in MATLAB: Design and implementation
-
GILBERT, J. R.,MOLER, C., AND SCHREIBER, R. 1992. Sparse matrices in MATLAB: Design and implementation. SIAM J. Matrix Anal. Appl. 13, 1, 333-356.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, Issue.1
, pp. 333-356
-
-
Gilbert, J.R.1
Moler, C.2
Schreiber, R.3
-
40
-
-
0008892865
-
Computation of plane unitary rotations transforming a general matrix to triangular form
-
GIVENS, W. 1958. Computation of plane unitary rotations transforming a general matrix to triangular form. SIAM J. Appl. Math. 6, 26-50.
-
(1958)
SIAM J. Appl. Math.
, vol.6
, pp. 26-50
-
-
Givens, W.1
-
41
-
-
0000924593
-
Numerical methods for solving linear least squares problems
-
GOLUB, G. H. 1965. Numerical methods for solving linear least squares problems. Numer. Math. 7, 206-216.
-
(1965)
Numer. Math.
, vol.7
, pp. 206-216
-
-
Golub, G.H.1
-
42
-
-
48849089104
-
High performance implementation of the level-3 BLAS
-
Article 4, 14 pages
-
GOTO, K. AND VAN DE GEIJN, R. 2008. High performance implementation of the level-3 BLAS. ACM Trans. Math. Softw. 35, 1, 4. Article 4, 14 pages.
-
(2008)
ACM Trans. Math. Softw.
, vol.35
, Issue.1
, pp. 4
-
-
Goto, K.1
Van De Geijn, R.2
-
43
-
-
33947267971
-
On the row merge tree for sparse LU factorization with partial pivoting
-
GRIGORI, L., COSNARD, M., AND NG, E. G. 2007. On the row merge tree for sparse LU factorization with partial pivoting. BIT 47, 1, 45-76.
-
(2007)
BIT
, vol.47
, Issue.1
, pp. 45-76
-
-
Grigori, L.1
Cosnard, M.2
G, N.G.E.3
-
44
-
-
0039014364
-
Some extensions of an algorithm for sparse linear least squares problems
-
HEATH, M. T. 1982. Some extensions of an algorithm for sparse linear least squares problems. SIAM J. Sci. Statist. Comput. 3, 2, 223-237.
-
(1982)
SIAM J. Sci. Statist. Comput.
, vol.3
, Issue.2
, pp. 223-237
-
-
Heath, M.T.1
-
45
-
-
46149128320
-
A pipelined Givens method for computing the QR factorization of a sparse matrix
-
HEATH, M. T. AND SORENSEN, D. C. 1986. A pipelined Givens method for computing the QR factorization of a sparse matrix. Linear Algebra Appl. 77, 189-203.
-
(1986)
Linear Algebra Appl.
, vol.77
, pp. 189-203
-
-
Heath, M.T.1
Sorensen, D.C.2
-
46
-
-
0000652188
-
Unitary triangularization of a nonsymmetric matrix
-
HOUSEHOLDER, A. S. 1958. Unitary triangularization of a nonsymmetric matrix. J. ACM 5, 339-342.
-
(1958)
J. ACM
, vol.5
, pp. 339-342
-
-
Householder, A.S.1
-
47
-
-
0032131147
-
A fast and high quality multilevel scheme for partitioning irregular graphs
-
PII S1064827595287997
-
KARYPIS, G. AND KUMAR, V. 1998. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20, 359-392. (Pubitemid 128689516)
-
(1998)
SIAM Journal of Scientific Computing
, vol.20
, Issue.1
, pp. 359-392
-
-
Karypis, G.1
Kumar, V.2
-
48
-
-
0000843755
-
Generalized nested dissection
-
LIPTON, R. J., ROSE, D. J., AND TARJAN, R. E. 1979. Generalized nested dissection. SIAM J. Numer. Anal. 16, 346-358.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 346-358
-
-
Lipton, R.J.1
Rose, D.J.2
Tarjan, R.E.3
-
49
-
-
0000871497
-
On general row merging schemes for sparse Givens transformations
-
LIU, J. W. H. 1986. On general row merging schemes for sparse Givens transformations. SIAM J. Sci. Statist. Comput. 7, 4, 1190-1211.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, Issue.4
, pp. 1190-1211
-
-
Liu, J.W.H.1
-
50
-
-
0024877196
-
The multifrontal method and paging in sparse Cholesky factorization
-
LIU, J. W. H. 1989. The multifrontal method and paging in sparse Cholesky factorization. ACM Trans. Math. Softw. 15, 4, 310-325.
-
(1989)
ACM Trans. Math. Softw.
, vol.15
, Issue.4
, pp. 310-325
-
-
Liu, J.W.H.1
-
51
-
-
0030514421
-
Multifrontal computation with the orthogonal factors of sparse matrices
-
LU, S. M. AND BARLOW, J. L. 1996. Multifrontal computation with the orthogonal factors of sparse matrices. SIAM J. Matrix Anal. Appl. 17, 3, 658-679.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, Issue.3
, pp. 658-679
-
-
M, L.U.S.1
Barlow, J.L.2
-
52
-
-
0028385461
-
Sparse QR factorization in MATLAB
-
MATSTOMS, P. 1994. Sparse QR factorization in MATLAB. ACM Trans. Math. Softw. 20, 1, 136-159.
-
(1994)
ACM Trans. Math. Softw.
, vol.20
, Issue.1
, pp. 136-159
-
-
Matstoms, P.1
-
53
-
-
0029267316
-
Parallel sparse QR factorization on shared memory architectures
-
MATSTOMS, P. 1995. Parallel sparse QR factorization on shared memory architectures. Parallel Comput. 21, 3, 473-486.
-
(1995)
Parallel Comput.
, vol.21
, Issue.3
, pp. 473-486
-
-
Matstoms, P.1
-
54
-
-
0035683165
-
Exact prediction of QR fill-in by row-merge trees
-
DOI 10.1137/S1064827599333965, PII S1064827599333965
-
OLIVEIRA, S. 2001. Exact prediction of QR fill-in by row-merge trees. SIAM J. Sci. Comput. 22, 6, 1962-1973. (Pubitemid 34050948)
-
(2001)
SIAM Journal of Scientific Computing
, vol.22
, Issue.6
, pp. 1962-1973
-
-
Oliveira, S.1
-
55
-
-
0031538763
-
Sparse multifrontal rank revealing QR factorization
-
PIERCE, D. J. AND LEWIS, J. G. 1997. Sparse multifrontal rank revealing QR factorization. SIAM J. Matrix Anal. Appl. 18, 1, 159-180.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, Issue.1
, pp. 159-180
-
-
Pierce, D.J.1
Lewis, J.G.2
-
56
-
-
0025603584
-
Computing the block triangular form of a sparse matrix
-
POTHEN, A. AND FAN, C. 1990. Computing the block triangular form of a sparse matrix. ACM Trans. Math. Softw. 16, 4, 303-324.
-
(1990)
ACM Trans. Math. Softw.
, vol.16
, Issue.4
, pp. 303-324
-
-
Pothen, A.1
Fan, C.2
-
59
-
-
0003078924
-
A storage-efficient WY representation for products of Householder matrices
-
SCHREIBER, R. AND VAN LOAN, C. F. 1989. A storage-efficient WY representation for products of Householder matrices. SIAM J. Sci. Statist. Comput. 10, 1, 53-57.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, Issue.1
, pp. 53-57
-
-
Schreiber, R.1
Van Loan, C.F.2
-
61
-
-
2342647816
-
Parallel sparse orthogonal factorization on distributed-memory multiprocessors
-
SUN, C. 1996. Parallel sparse orthogonal factorization on distributed-memory multiprocessors. SIAM J. Sci. Comput. 17, 3, 666-685. (Pubitemid 126621174)
-
(1996)
SIAM Journal of Scientific Computing
, vol.17
, Issue.3
, pp. 666-685
-
-
Sun, C.1
|