-
1
-
-
0002741413
-
Large scale singular value computations
-
M.W. Berry. Large scale singular value computations. Int. J. Supercomputer Appl., 6:13-49, 1992.
-
(1992)
Int. J. Supercomputer Appl
, vol.6
, pp. 13-49
-
-
Berry, M.W.1
-
2
-
-
0004236492
-
-
3rd ed. Johns Hopkins University Press, Baltimore, MD
-
G.H. Golub and C.F.Van Loan. Matrix Computations, 3rd ed. Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
van Loan, C.F.2
-
4
-
-
0042913333
-
Condition number and backward error for the generalized singular value decomposition
-
J.-G. Sun. Condition number and backward error for the generalized singular value decomposition. SIAMJ. Matrix Anal. Appl., 22(2):323-341, 2000.
-
(2000)
SIAMJ. Matrix Anal. Appl
, vol.22
, Issue.2
, pp. 323-341
-
-
Sun, J.-G.1
-
6
-
-
0033471602
-
Computing the singular value decomposition with high accuracy
-
J. Demmel, M. Gu, S. Eisenstat, Z. Drmac, I. Slapnicar, and K. Veselic. Computing the singular value decomposition with high accuracy. Linear Algebra Appl., 299(1-3):21-80, 1999.
-
(1999)
Linear Algebra Appl
, vol.299
, Issue.1-3
, pp. 21-80
-
-
Demmel, J.1
Gu, M.2
Eisenstat, S.3
Drmac, Z.4
Slapnicar, I.5
Veselic, K.6
-
7
-
-
0039569015
-
A note on simple non-zero singular values
-
J.-G. Sun. A note on simple non-zero singular values. J. Comput. Math., (6):258-266, 1988.
-
(1988)
J. Comput. Math
, pp. 258-266
-
-
Sun, J.-G.1
-
8
-
-
0036379361
-
Numerical reliability for mixed methods applied to flow problems in porous media
-
H. Hoteit, J. Erhel, R. Mose, B. Philippe, and P. Ackerer. Numerical reliability for mixed methods applied to flow problems in porous media. J. Comput. Geosci., 6:161-194, 2002.
-
(2002)
J. Comput. Geosci
, vol.6
, pp. 161-194
-
-
Hoteit, H.1
Erhel, J.2
Mose, R.3
Philippe, B.4
Ackerer, P.5
-
9
-
-
0000992781
-
Pseudospectra of matrices
-
D.F. Griffiths and G.A. Watson, Eds., Dundee, Longman, Chicago
-
L.N. Trefethen. Pseudospectra of matrices. In D.F. Griffiths and G.A. Watson, Eds., Numerical Analysis, Dundee 1991. Longman, Chicago, 1992, pp. 234-266.
-
(1992)
Numerical Analysis
, vol.1991
, pp. 234-266
-
-
Trefethen, L.N.1
-
10
-
-
0041616825
-
Spectral portraits of matrices and criteria of spectrum dichotomy
-
L. Atanassova and J. Hezberger, Eds., Amsterdam
-
S.K. Godunov. Spectral portraits of matrices and criteria of spectrum dichotomy. In L. Atanassova and J. Hezberger, Eds., 3rd Int. IMACS-CAMM Symp. Comp. Arithmetic Enclosure Meth., Amsterdam, 1992.
-
(1992)
3Rd Int. IMACS-CAMM Symp. Comp. Arithmetic Enclosure Meth
-
-
Godunov, S.K.1
-
11
-
-
1542498744
-
A curve tracing algorithm for computing the pseudospectrum
-
M. Briihl. A curve tracing algorithm for computing the pseudospectrum. BIT, 36(3): 441-454, 1996.
-
(1996)
BIT
, vol.36
, Issue.3
, pp. 441-454
-
-
Briihl, M.1
-
12
-
-
0035980882
-
Cobra: Parallel path following for computing the matrix pseudospectrum
-
C. Bekas and E. Gallopoulos. Cobra: parallel path following for computing the matrix pseudospectrum. Parallel Comput., 27(14):1879-1896, 2001.
-
(2001)
Parallel Comput
, vol.27
, Issue.14
, pp. 1879-1896
-
-
Bekas, C.1
Gallopoulos, E.2
-
13
-
-
0036467555
-
Parallel computation of pseudospectra of large sparse matrices
-
D. Mezher and B. Philippe. Parallel computation of pseudospectra of large sparse matrices. Parallel Comput., 28(2):199-221, 2002.
-
(2002)
Parallel Comput
, vol.28
, Issue.2
, pp. 199-221
-
-
Mezher, D.1
Philippe, B.2
-
14
-
-
85057357819
-
-
Matrix Market. http://math.nist.gov/MatrixMarket/.
-
-
-
-
15
-
-
0003615167
-
-
SIAM, Philadelphia
-
L.S. Blackford, J. Choi, A. Cleary, E. D’Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R.C. Whaley. ScaLAPACK Users’ Guide. SIAM, Philadelphia, 1997.
-
(1997)
Scalapack Users’ 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
-
17
-
-
0013076873
-
Plapack: Parallel linear algebra package
-
P. Alpatov, G. Baker, C. Edwards, J. Gunnels, G. Morrow, J. Overfelt, Y.-J.J. Wu, and R. van de Geijn. PLAPACK: parallel linear algebra package. In P SIAM Parallel Process. Conf., 1997.
-
(1997)
P Siam Parallel Process. Conf.
-
-
Alpatov, P.1
Baker, G.2
Edwards, C.3
Gunnels, J.4
Morrow, G.5
Overfelt, J.6
Wu, Y.-J.J.7
Van De Geijn, R.8
-
19
-
-
0035480301
-
Scilab to scilabll, the ouragan project
-
E. Caron, S. Chaumette, S. Contassot-Vivier, F. Desprez, E. Fleury, C. Gomez, M. Goursat, E. Jeannot, D. Lazure, F. Lombard, J.-M. Nicod, L. Philippe, M. Quinson, P. Ramet, J. Roman, F. Rubi, S. Steer, F. Suter, and G. Utard. Scilab to scilabll, the ouragan project. Parallel Comput., 11(27):1497-1519, 2001.
-
(2001)
Parallel Comput
, vol.11
, Issue.27
, pp. 1497-1519
-
-
Caron, E.1
Chaumette, S.2
Contassot-Vivier, S.3
Desprez, F.4
Fleury, E.5
Gomez, C.6
Goursat, M.7
Jeannot, E.8
Lazure, D.9
Lombard, F.10
Nicod, J.-M.11
Philippe, L.12
Quinson, M.13
Ramet, P.14
Roman, J.15
Rubi, F.16
Steer, S.17
Suter, F.18
Utard, G.19
-
20
-
-
85057381217
-
-
Mathtools.net > matlab > parallel
-
Mathtools.net. Mathtools.net > matlab > parallel. http://www.mathtools.net/MATLAB/Parallel/.
-
-
-
-
21
-
-
84967689571
-
The cyclic jacobi method for computing the principal values of a complex matrix
-
G. Forsythe and P. Henrici. The cyclic Jacobi method for computing the principal values of a complex matrix. Trans. Am. Math. Soc., 94:1-23, 1960.
-
(1960)
Trans. Am. Math. Soc
, vol.94
, pp. 1-23
-
-
Forsythe, G.1
Henrici, P.2
-
22
-
-
4243810288
-
Zur konvergenz des jacobi-verfahrens
-
A. Schonhage. Zur konvergenz des Jacobi-Verfahrens. Numer. Math., 3:374-380, 1961.
-
(1961)
Numer. Math
, vol.3
, pp. 374-380
-
-
Schonhage, A.1
-
23
-
-
0039081457
-
Note on the quadratic convergence of the cyclic jacobi process
-
J.H. Wilkinson. Note on the quadratic convergence of the cyclic jacobi process. Numer. Math., 5: 296-300, 1962.
-
(1962)
Numer. Math
, vol.5
, pp. 296-300
-
-
Wilkinson, J.H.1
-
24
-
-
84968513725
-
On jacobi and jacobi-like algorithms for a parallel computer
-
A. Sameh. On Jacobi and Jacobi-like algorithms for a parallel computer. Math. Comput., 25:579-590, 1971.
-
(1971)
Math. Comput
, vol.25
, pp. 579-590
-
-
Sameh, A.1
-
25
-
-
0024680783
-
A proof of convergence for two parallel jacobi svd algorithms
-
F. Luk and H. Park. A proof of convergence for two parallel Jacobi SVD algorithms. IEEE Trans. Comput., 38(6):806-811, 1989.
-
(1989)
IEEE Trans. Comput
, vol.38
, Issue.6
, pp. 806-811
-
-
Luk, F.1
Park, H.2
-
26
-
-
0037783300
-
On parallel jacobi orderings
-
F. Luk and H. Park. On parallel Jacobi orderings. SIAM J. Sci. Stat. Comput., 10(1):18-26, 1989.
-
(1989)
SIAM J. Sci. Stat. Comput
, vol.10
, Issue.1
, pp. 18-26
-
-
Luk, F.1
Park, H.2
-
27
-
-
0040742107
-
On the speed of convergence of cyclic and quasicyclic jacobi methods for computing eigenvalues of hermitian matrices
-
P. Henrici. On the speed of convergence of cyclic and quasicyclic Jacobi methods for computing eigenvalues of Hermitian matrices. Soc. Ind. Appl. Math., 6:144-162, 1958.
-
(1958)
Soc. Ind. Appl. Math
, vol.6
, pp. 144-162
-
-
Henrici, P.1
-
29
-
-
0343087358
-
The jk method: A procedure for finding the eigenvectors and eigenvalues of a real symmetric matrix
-
H.F. Kaiser. The JK method: a procedure for finding the eigenvectors and eigenvalues of a real symmetric matrix. Comput. J., 15(33):271-273, 1972.
-
(1972)
Comput. J
, vol.15
, Issue.33
, pp. 271-273
-
-
Kaiser, H.F.1
-
30
-
-
0016471603
-
A one-sided transformation method for the singular value decomposition and algebraic eigenproblems
-
J.C. Nash. A one-sided transformation method for the singular value decomposition and algebraic eigenproblems. Comput. J., 18(1):74-76, 1975.
-
(1975)
Comput. J
, vol.18
, Issue.1
, pp. 74-76
-
-
Nash, J.C.1
-
31
-
-
84976811521
-
Computing the singular value decomposition on the illiac iv
-
F.T. Luk. Computing the singular value decomposition on the Illiac IV. ACM Trans. Math. Soft., 6(4):524-539, 1980.
-
(1980)
ACM Trans. Math. Soft
, vol.6
, Issue.4
, pp. 524-539
-
-
Luk, F.T.1
-
32
-
-
0002115256
-
The solution of singular value and symmetric eigenproblems on multiprocessor arrays
-
R.P. Brent and F.T. Luk. The solution of singular value and symmetric eigenproblems on multiprocessor arrays. SIAM J. Sci. Stat., 6:69-84, 1985.
-
(1985)
SIAM J. Sci. Stat
, vol.6
, pp. 69-84
-
-
Brent, R.P.1
Luk, F.T.2
-
33
-
-
0021822541
-
Computation of the singular value decomposition using mesh connected processors
-
R.P. Brent, F.T. Luk, and C. Van Loan. Computation of the singular value decomposition using mesh connected processors. VLSI Comput. Syst., 1(3):242-270, 1985.
-
(1985)
VLSI Comput. Syst
, vol.1
, Issue.3
, pp. 242-270
-
-
Brent, R.P.1
Luk, F.T.2
Van Loan, C.3
-
34
-
-
38249005068
-
An overview of parallel algorithms for the singular value and symmetric eigenvalue problems
-
M.W. Berry and A.H. Sameh. An overview of parallel algorithms for the singular value and symmetric eigenvalue problems. Comput. Appl. Math., 27:191-213, 1989.
-
(1989)
Comput. Appl. Math
, vol.27
, pp. 191-213
-
-
Berry, M.W.1
Sameh, A.H.2
-
35
-
-
0000725833
-
On efficient implementations of kogbetliantz’s algorithm for computing the singular value decomposition
-
J.-P. Charlier, M. Vanbegin, and P. Van Dooren. On efficient implementations of Kogbetliantz’s algorithm for computing the singular value decomposition. Numer. Math., 52:279-300, 1988.
-
(1988)
Numer. Math
, vol.52
, pp. 279-300
-
-
Charlier, J.-P.1
Vanbegin, M.2
Van Dooren, P.3
-
36
-
-
0000588703
-
On the quadratic convergence of kogbetliantz’s algorithm for computing the singular value decomposition
-
C. Paige and P. Van Dooren. On the quadratic convergence of Kogbetliantz’s algorithm for computing the singular value decomposition. Linear Algebra Appl., 77:301-313, 1986.
-
(1986)
Linear Algebra Appl
, vol.77
, pp. 301-313
-
-
Paige, C.1
Van Dooren, P.2
-
37
-
-
0000098487
-
On kogbetliantz’s svd algorithm in the presence of clusters
-
J.-P. Charlier and P. Van Dooren. On Kogbetliantz’s SVD algorithm in the presence of clusters. Linear Algebra Appl., 95:135-160, 1987.
-
(1987)
Linear Algebra Appl
, vol.95
, pp. 135-160
-
-
Charlier, J.-P.1
Van Dooren, P.2
-
38
-
-
0040662069
-
Almost diagonal matrices with multiple or close eigenvalues
-
J.H. Wilkinson. Almost diagonal matrices with multiple or close eigenvalues. Linear Algebra Appl., 1:1-12, 1968.
-
(1968)
Linear Algebra Appl
, vol.1
, pp. 1-12
-
-
Wilkinson, J.H.1
-
39
-
-
0007990957
-
Block-jacobi svd algorithms for distributed memory systems i
-
M. Becka and M. Vajtesic. Block-Jacobi SVD algorithms for distributed memory systems I. Parallel Algorithms Appl., 13:265-267, 1999.
-
(1999)
Parallel Algorithms Appl
, vol.13
, pp. 265-267
-
-
Becka, M.1
Vajtesic, M.2
-
40
-
-
0007990958
-
Block-jacobi svd algorithms for distributed memory systems ii
-
M. Becka and M. Vajtesic. Block-Jacobi SVD algorithms for distributed memory systems II. Parallel Algorithms Appl., 14:37-56, 1999.
-
(1999)
Parallel Algorithms Appl
, vol.14
, pp. 37-56
-
-
Becka, M.1
Vajtesic, M.2
-
41
-
-
0036467463
-
Dynamic ordering for a block-jacobi svd algorithm
-
M. Becka, G. Oksa, and M. Vajtesic. Dynamic ordering for a Block-Jacobi SVD algorithm. Parallel Comput., 28:243-262, 2002.
-
(2002)
Parallel Comput
, vol.28
, pp. 243-262
-
-
Becka, M.1
Oksa, G.2
Vajtesic, M.3
-
44
-
-
21344466930
-
Multifrontal qr factorization in a multiprocessor environment
-
P.R. Amestoy, I.S. Duff, and C. Puglisi. Multifrontal QR factorization in a multiprocessor environment. Numer. Linear Algebra Appl., 3:275-300, 1996.
-
(1996)
Numer. Linear Algebra Appl
, vol.3
, pp. 275-300
-
-
Amestoy, P.R.1
Duff, I.S.2
Puglisi, C.3
-
45
-
-
0033884893
-
Multifrontal parallel distributed symmetric and unsymmetric solvers
-
P.R. Amestoy, I.S. Duff, and J.Y. L’Excellent. Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Meth. Appl. Mech. Eng., 184(2-4):501-520, 2000.
-
(2000)
Comput. Meth. Appl. Mech. Eng
, vol.184
, Issue.2-4
, pp. 501-520
-
-
Amestoy, P.R.1
Duff, I.S.2
L’Excellent, J.Y.3
-
46
-
-
0036398772
-
Nested-dissection orderings for sparse lu with partial pivoting
-
I. Brainman and S. Toledo. Nested-dissection orderings for sparse LU with partial pivoting. SIAM J. Matrix Anal. Appl., 23(4):998-1012, 2002.
-
(2002)
SIAM J. Matrix Anal. Appl
, vol.23
, Issue.4
, pp. 998-1012
-
-
Brainman, I.1
Toledo, S.2
-
47
-
-
0001946784
-
A combined unifrontal/multifrontal method for unsymmetric sparse matrices
-
T.A. Davis and I.S. Duff. A combined unifrontal/multifrontal method for unsymmetric sparse matrices. ACM Trans. Math. Software, 25:1-19, 1999.
-
(1999)
ACM Trans. Math. Software
, vol.25
, pp. 1-19
-
-
Davis, T.A.1
Duff, I.S.2
-
48
-
-
0003793981
-
-
SIAM, Philadelphia
-
J.J. Dongarra, I.S. Duff, D.S. Sorensen, and H.A. van der Vorst. Solving Linear Systems on Vector and Shared Memory Computers. SIAM, Philadelphia, 1991.
-
(1991)
Solving Linear Systems on Vector and Shared Memory Computers
-
-
Dongarra, J.J.1
Duff, I.S.2
Sorensen, D.S.3
Van Der Vorst, H.A.4
-
49
-
-
0033239808
-
A supernodal approach to sparse partial pivoting
-
J.W. Demmel, S.C. Eisenstat, J.R. Gilbert, X.S. Li, and J.W.H. Joseph. A supernodal approach to sparse partial pivoting. SIAM J. Matrix Anal. Appl., 20(3):720-755, 1999.
-
(1999)
SIAM J. Matrix Anal. Appl
, vol.20
, Issue.3
, pp. 720-755
-
-
Demmel, J.W.1
Eisenstat, S.C.2
Gilbert, J.R.3
Li, X.S.4
Joseph, J.W.H.5
-
50
-
-
0030564734
-
A review of frontal methods for solving linear systems
-
I.S. Duff. A review of frontal methods for solving linear systems. Comput. Phys. Commun., 97(1-2):45-52, 1996.
-
(1996)
Comput. Phys. Commun
, vol.97
, Issue.1-2
, pp. 45-52
-
-
Duff, I.S.1
-
51
-
-
0042318563
-
Computing row and column counts for sparse qr and lu factorization
-
J.R. Gilbert, X.S. Li, E.G. Ng, and B.W. Peyton. Computing row and column counts for sparse QR and LU factorization. BIT, 41(4):693-710, 2001.
-
(2001)
BIT
, vol.41
, Issue.4
, pp. 693-710
-
-
Gilbert, J.R.1
Li, X.S.2
Ng, E.G.3
Peyton, B.W.4
-
53
-
-
85057417382
-
-
SuperLU version 2, September 1999
-
X.S. Li. SuperLU version 2. http://www.nersc.gov/xiaoye/SuperLU/, September 1999.
-
-
-
Li, X.S.1
-
54
-
-
85057400669
-
-
Mumps 4.1.6, March
-
P.R. Amestoy, I.S. Duff, J.Y. L’Excellent, J. Koster, and M. Tuma. Mumps 4.1.6. http://www.enseeiht.fr/lima/apo/MUMPS/, March 2000.
-
(2000)
-
-
Amestoy, P.R.1
Duff, I.S.2
L’Excellent, J.Y.3
Koster, J.4
Tuma, M.5
-
56
-
-
0003473816
-
-
2nd ed. SIAM /netlib, Philadelphia, PA
-
R. Barret, M. Berry, T. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. van der Vorst. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, 2nd ed. SIAM /netlib, Philadelphia, PA, 1994.
-
(1994)
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
-
-
Barret, R.1
Berry, M.2
Chan, T.3
Demmel, J.4
Donato, J.5
Dongarra, J.6
Eijkhout, V.7
Pozo, R.8
Romine, C.9
Van Der Vorst, H.10
-
59
-
-
0016555955
-
Solution of sparse indefinite systems of linear equations
-
C. Paige and M. Saunders. Solution of sparse indefinite systems of linear equations. SIAM J Numeri. Anal., 12:617-629, 1975.
-
(1975)
SIAM J Numeri. Anal
, vol.12
, pp. 617-629
-
-
Paige, C.1
Saunders, M.2
-
60
-
-
0000048673
-
Gmres: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. Saad and H. Schultz. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput., 7:856-869, 1986.
-
(1986)
SIAM J. Sci. Stat. Comput
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, H.2
-
61
-
-
0000005482
-
Bi-cgstab: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems
-
H.A. van der Vorst. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Statist. Comput., 13:631-644, 1992.
-
(1992)
SIAM J. Sci. Statist. Comput
, vol.13
, pp. 631-644
-
-
Van Der Vorst, H.A.1
-
62
-
-
25444452938
-
Qmr: A quasi-minimal residual method for non-hermitian linear systems
-
R. Freund and N. Nachtigal. QMR: a quasi-minimal residual method for non-Hermitian linear systems. Numer. Math., 60:315-339, 1991.
-
(1991)
Numer. Math
, vol.60
, pp. 315-339
-
-
Freund, R.1
Nachtigal, N.2
-
63
-
-
0001031880
-
A transpose-free quasi-minimal residual algorithm for non-hermitian linear systems
-
R. Freund. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM J. Sci. comput., 14:470-482, 1993.
-
(1993)
SIAM J. Sci. Comput
, vol.14
, pp. 470-482
-
-
Freund, R.1
-
64
-
-
0000288016
-
Calculating the singular values and pseudo-inverse of a matrix
-
G.H. Golub and W. Kahan. Calculating the singular values and pseudo-inverse of a matrix. SIAM J. Numer. Anal., 2(3):205-224, 1965.
-
(1965)
SIAM J. Numer. Anal
, vol.2
, Issue.3
, pp. 205-224
-
-
Golub, G.H.1
Kahan, W.2
-
66
-
-
0003027926
-
Inversion of matrices by biorthogonalization and related results
-
M.R. Hestens. Inversion of matrices by biorthogonalization and related results. Soc. Ind. Appl. Math., 6:51-90, 1958.
-
(1958)
Soc. Ind. Appl. Math
, vol.6
, pp. 51-90
-
-
Hestens, M.R.1
-
68
-
-
0000482693
-
Das verfahred der treppeniteration und verwandte verfahren zur losung algebraischer eigenwertprobleme
-
F.L. Bauer. Das verfahred der treppeniteration und verwandte verfahren zur losung algebraischer eigenwertprobleme. ZAMP, 8:214-235, 1957.
-
(1957)
ZAMP
, vol.8
, pp. 214-235
-
-
Bauer, F.L.1
-
69
-
-
0000281504
-
Simultaneous iteration method for symmetric matrices
-
H. Rutishauser. Simultaneous iteration method for symmetric matrices. Numer. Math., 16:205-223, 1970.
-
(1970)
Numer. Math
, vol.16
, pp. 205-223
-
-
Rutishauser, H.1
-
70
-
-
0003272915
-
The use of blas3 in linear algebra on a parallel processor with a hierarchical memory
-
K. Gallivan, W. Jalby, and U. Meier. The use of BLAS3 in linear algebra on a parallel processor with a hierarchical memory. SIAM J. Sci. Stat. Comput., 18(6):1079-1084, 1987.
-
(1987)
SIAM J. Sci. Stat. Comput
, vol.18
, Issue.6
, pp. 1079-1084
-
-
Gallivan, K.1
Jalby, W.2
Meier, U.3
-
71
-
-
0002198379
-
Computational aspects of f.L. Bauer’s simultaneous iteration method
-
H. Rutishauser. Computational aspects of F.L. Bauer’s simultaneous iteration method. Numer. Math., 13:4-13, 1969.
-
(1969)
Numer. Math
, vol.13
, pp. 4-13
-
-
Rutishauser, H.1
-
72
-
-
0003595562
-
-
2nd ed. Springer-Verlag, Heidelberg
-
B. Smith, J. Boyce, J. Dongarra, B. Garbow, Y. Ikebe, V. Klema, and C. Moler. Matrix Eigensystem Routines - EISPACK Guide, 2nd ed. Springer-Verlag, Heidelberg, 1976.
-
(1976)
Matrix Eigensystem Routines
-
-
Smith, B.1
Boyce, J.2
Dongarra, J.3
Garbow, B.4
Ikebe, Y.5
Klema, V.6
Moler, C.7
-
73
-
-
0000417182
-
A fast algorithm for the symmetric eigenvalue problem
-
J. Dongarra and D. Sorensen. A fast algorithm for the symmetric eigenvalue problem. SIAM J. Sci. Stat. Comput., 8(2):s139-s154, 1987.
-
(1987)
SIAM J. Sci. Stat. Comput
, vol.8
, Issue.2
, pp. s139-s154
-
-
Dongarra, J.1
Sorensen, D.2
-
74
-
-
53849148874
-
Error analysis of the lanczos algorithms for tridiagonalizing a symmetric matrix
-
C.C. Paige. Error analysis of the Lanczos algorithms for tridiagonalizing a symmetric matrix. Inst. Math. Appl., 18:341-349, 1976.
-
(1976)
Inst. Math. Appl
, vol.18
, pp. 341-349
-
-
Paige, C.C.1
-
76
-
-
84968487118
-
The lanczos algorithm with selective reorthogonalization
-
B.N. Parlett and D.S. Scott. The Lanczos algorithm with selective reorthogonalization. Math. Comput., 33:217-238, 1979.
-
(1979)
Math. Comput
, vol.33
, pp. 217-238
-
-
Parlett, B.N.1
Scott, D.S.2
-
77
-
-
0000682936
-
Analysis of the symmetric lanczos algorithm with reorthogonalization methods
-
H. Simon. Analysis of the symmetric Lanczos algorithm with reorthogonalization methods. Linear Algebra Appl., 61:101-131, 1984.
-
(1984)
Linear Algebra Appl
, vol.61
, pp. 101-131
-
-
Simon, H.1
-
78
-
-
0002931065
-
A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem
-
S. Lo, B. Philippe, and A.H. Sameh. A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem. SIAM J. Sci. Stat. Comput., 8(2):s155-s165, 1987.
-
(1987)
SIAM J. Sci. Stat. Comput
, vol.8
, Issue.2
, pp. s155-s165
-
-
Lo, S.1
Philippe, B.2
Sameh, A.H.3
-
79
-
-
0004236492
-
-
2nd ed. Johns Hopkins University Press, Battimore, MD
-
G.H. Golub and C. Van Loan. Matrix Computations, 2nd ed. Johns Hopkins University Press, Battimore, MD, 1989.
-
(1989)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.2
-
82
-
-
0019576431
-
A block lanczos method for computing the singular values and corresponding singular vectors of amatrix
-
G.H. Golub, F.T. Luk, and M.L. Overton. A block Lanczos method for computing the singular values and corresponding singular vectors of amatrix. ACM Trans. Math. Software, 7(2):149-169, 1981.
-
(1981)
ACM Trans. Math. Software
, vol.7
, Issue.2
, pp. 149-169
-
-
Golub, G.H.1
Luk, F.T.2
Overton, M.L.3
-
83
-
-
0023983122
-
An extended set of fortran basic linear algebra subprograms
-
J. Dongarra, J. Du Croz, S. Hammarling, and R. Hanson. An extended set of FORTRAN basic linear algebra subprograms. ACM Trans. Math. Software, 14(1):1-17, 1988.
-
(1988)
ACM Trans. Math. Software
, vol.14
, Issue.1
, pp. 1-17
-
-
Dongarra, J.1
Du Croz, J.2
Hammarling, S.3
Hanson, R.4
-
84
-
-
0001065610
-
Stability analysis and improvement of the block gram-schmidt algorithm
-
W. Jalby and B. Philippe. Stability analysis and improvement of the block Gram-Schmidt algorithm. SIAMJ. Sci. Stat. Comput., 12(5):1058-1073, 1991.
-
(1991)
SIAMJ. Sci. Stat. Comput
, vol.12
, Issue.5
, pp. 1058-1073
-
-
Jalby, W.1
Philippe, B.2
-
85
-
-
0009148594
-
A trace minimization algorithm for the generalized eigenvalue problem
-
A.H. Sameh and J.A. Wisniewski. A trace minimization algorithm for the generalized eigenvalue problem. SIAM J. Numer. Anal., 19(6):1243-1259, 1982.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, Issue.6
, pp. 1243-1259
-
-
Sameh, A.H.1
Wisniewski, J.A.2
-
87
-
-
85057434219
-
Computing extremal singular triplets of sparse matrices on a shared-memory multiprocessor
-
M.W. Berry, B. Parlett, and A.H. Sameh. Computing extremal singular triplets of sparse matrices on a shared-memory multiprocessor. Int. J. High Speed Comput., 2:239-275, 1994.
-
(1994)
Int. J. High Speed Comput
, vol.2
, pp. 239-275
-
-
Berry, M.W.1
Parlett, B.2
Sameh, A.H.3
-
90
-
-
1542379944
-
Computing smallest singular triplets with implicitly restarted lanczos bidiagonalization
-
E. Kokiopoulou, C. Bekas, and E. Gallopoulos. Computing Smallest Singular Triplets with Implicitly Restarted Lanczos Bidiagonalization. J. Appl. Numer., 49(1):39-61, 2004.
-
(2004)
J. Appl. Numer
, vol.49
, Issue.1
, pp. 39-61
-
-
Kokiopoulou, E.1
Bekas, C.2
Gallopoulos, E.3
-
91
-
-
0001287220
-
On the reduction of a symmetric matrix to tridiagonal form
-
J.O. Aasen. On the reduction of a symmetric matrix to tridiagonal form. BIT, 11:233-242, 1971.
-
(1971)
BIT
, vol.11
, pp. 233-242
-
-
Aasen, J.O.1
-
92
-
-
84966228742
-
Some stable methods for calculating inertia and solving symmetric linear systems
-
J.R. Bunch and L. Kaufman. Some stable methods for calculating inertia and solving symmetric linear systems. Math. Comput., 31:162-179, 1977.
-
(1977)
Math. Comput
, vol.31
, pp. 162-179
-
-
Bunch, J.R.1
Kaufman, L.2
-
93
-
-
0009152793
-
On the solution of a system of linear equations whose system is symmetric but not definite
-
B.N. Parlett and J.K. Reid. On the solution of a system of linear equations whose system is symmetric but not definite. BIT, 10:386-397, 1970.
-
(1970)
BIT
, vol.10
, pp. 386-397
-
-
Parlett, B.N.1
Reid, J.K.2
-
94
-
-
0016555955
-
Solution of sparse indefinite systems of linear equations
-
C.C. Paige and M.A. Saunders. Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal., 12(4):617-629, 1975.
-
(1975)
SIAM J. Numer. Anal
, vol.12
, Issue.4
, pp. 617-629
-
-
Paige, C.C.1
Saunders, M.A.2
-
95
-
-
5344230920
-
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
-
E.R. Davidson. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. Comput. Phys., 17:87-94, 1975.
-
(1975)
Comput. Phys
, vol.17
, pp. 87-94
-
-
Davidson, E.R.1
-
96
-
-
0001398614
-
Generalizations of davidson’s method for computing eigenvalues of sparse symmetric matrices
-
R.B. Morgan and D.S. Scott. Generalizations of Davidson’s method for computing eigenvalues of sparse symmetric matrices. SIAM J. Sci. Stat. Comput., 7:817-825, 1986.
-
(1986)
SIAM J. Sci. Stat. Comput
, vol.7
, pp. 817-825
-
-
Morgan, R.B.1
Scott, D.S.2
-
97
-
-
0002232921
-
The davidson method
-
M. Crouzeix, B. Philippe, and M. Sadkane. The Davidson method. SIAM J. Sci. Stat. Comput., 15:1: 62-76, 1994.
-
(1994)
Siam j. Sci. Stat. Comput
, vol.15
, Issue.1
, pp. 62-76
-
-
Crouzeix, M.1
Philippe, B.2
Sadkane, M.3
-
98
-
-
0030560293
-
A jacobi-davidson iteration method for linear eigenvalue problems
-
Also SIGEST inSIAM Rev. 42(2): 267-293
-
G.L.G. Sleipen and H.A. van der Vorst. A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl., 17(2):401-425, 1996. Also SIGEST in SIAM Rev. 42(2): 267-293.
-
(1996)
SIAM J. Matrix Anal. Appl
, vol.17
, Issue.2
, pp. 401-425
-
-
Sleipen, G.L.G.1
Van Der Vorst, H.A.2
-
99
-
-
0034319898
-
The trace minimization method for the symmetric generalized eigenvalue problem
-
A. Sameh and Z. Tong. The trace minimization method for the symmetric generalized eigenvalue problem. J. Comput. Appl. Math., 123:155-175, 2000.
-
(2000)
J. Comput. Appl. Math
, vol.123
, pp. 155-175
-
-
Sameh, A.1
Tong, Z.2
-
100
-
-
0009924727
-
Inexact rayleigh quotient-type methods for eigenvalue computations
-
V. Simoncini and L. Elden. Inexact Rayleigh quotient-type methods for eigenvalue computations. BIT, 42(1):159-182, 2002.
-
(2002)
BIT
, vol.42
, Issue.1
, pp. 159-182
-
-
Simoncini, V.1
Elden, L.2
-
101
-
-
0040514637
-
Computation of the fundamental singular subspace of a large matrix
-
B. Philippe and M. Sadkane. Computation of the fundamental singular subspace of a large matrix. Linear Algebra Appl., 257:77-104, 1997.
-
(1997)
Linear Algebra Appl
, vol.257
, pp. 77-104
-
-
Philippe, B.1
Sadkane, M.2
-
102
-
-
0036222763
-
A jacobi-davidson type svd method
-
M.E. Hochstenbach. A Jacobi-Davidson type SVD method. SIAM J. Sci. Comput., 23(2):606-628, 2001.
-
(2001)
SIAM J. Sci. Comput
, vol.23
, Issue.2
, pp. 606-628
-
-
Hochstenbach, M.E.1
-
103
-
-
0043234058
-
Parallel computation of spectral portrait of large matrices by davidson type methods
-
V. Heuveline, B. Philippe, and M. Sadkane. Parallel computation of spectral portrait of large matrices by Davidson type methods. Numer. Algorithms, 16(1):55-75, 1997.
-
(1997)
Numer. Algorithms
, vol.16
, Issue.1
, pp. 55-75
-
-
Heuveline, V.1
Philippe, B.2
Sadkane, M.3
-
104
-
-
84898855093
-
Parallel krylov subspace basis computation
-
J. Tankoano, Ed., INRIA - ORSTOM, ORSTOM Editions, Paris
-
R. Sidje and B. Philippe. Parallel Krylov subspace basis computation. In J. Tankoano, Ed., CARI’94 Proc., Ouagadougou. INRIA - ORSTOM, ORSTOM Editions, Paris, 1994, pp. 421-440.
-
(1994)
CARI’94 Proc., Ouagadougou
, pp. 421-440
-
-
Sidje, R.1
Philippe, B.2
-
105
-
-
21344466930
-
Multifrontal qr factorization in a multiprocessor environment
-
P.R. Amestoy, I.S. Duff, and C. Puglisi. Multifrontal QR factorization in a multiprocessor environment. Numer. Linear Algebra Appl., 3:275-300, 1996.
-
(1996)
Numer. Linear Algebra Appl
, vol.3
, pp. 275-300
-
-
Amestoy, P.R.1
Duff, I.S.2
Puglisi, C.3
-
106
-
-
85011519633
-
Computation of pseudospectra
-
L.N. Trefethen. Computation of pseudospectra. Acta Numer., 8:247-295, 1999.
-
(1999)
Acta Numer
, vol.8
, pp. 247-295
-
-
Trefethen, L.N.1
-
107
-
-
0031082730
-
Computation of pseudospectra by continuation
-
S.H. Lui. Computation of pseudospectra by continuation. SIAM J. Sci. Comput., 28(2): 565-573, 1997.
-
(1997)
SIAM J. Sci. Comput
, vol.28
, Issue.2
, pp. 565-573
-
-
Lui, S.H.1
-
109
-
-
0036248978
-
Pat - a reliable path-following algorithm
-
D. Mezher and B. Philippe. PAT - a reliable path-following algorithm. Numer. Algorithms, 29: 131-152, 2002.
-
(2002)
Numer. Algorithms
, vol.29
, pp. 131-152
-
-
Mezher, D.1
Philippe, B.2
|