-
1
-
-
1542498748
-
Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
-
J. Baglama, D. Calvetti and L. Reichel, Iterative methods for the computation of a few eigenvalues of a large symmetric matrix, BIT 36 (1996) 400-421.
-
(1996)
BIT
, vol.36
, pp. 400-421
-
-
Baglama, J.1
Calvetti, D.2
Reichel, L.3
-
3
-
-
0005532228
-
Computation of a few close eigenvalues of a large matrix with application to liquid crystal modeling
-
J. Baglama, D. Calvetti, L. Reichel and A. Ruttan, Computation of a few close eigenvalues of a large matrix with application to liquid crystal modeling, J. Comput. Phys. 146 (1998) 203-226.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 203-226
-
-
Baglama, J.1
Calvetti, D.2
Reichel, L.3
Ruttan, A.4
-
5
-
-
0000585494
-
Numerics of Gram-Schmidt orthogonalization
-
Å. Björck, Numerics of Gram-Schmidt orthogonalization, Linear Algebra Appl. 197/198 (1994) 297-316.
-
(1994)
Linear Algebra Appl.
, vol.197-198
, pp. 297-316
-
-
Björck, Å.1
-
6
-
-
0002654780
-
An implicitly restarted Lanczos method for large symmetric eigenvalue problems
-
D. Calvetti, L. Reichel and D.C. Sorensen, An implicitly restarted Lanczos method for large symmetric eigenvalue problems, Electronic Trans. Numer. Anal. 2 (1994) 1-21.
-
(1994)
Electronic Trans. Numer. Anal.
, vol.2
, pp. 1-21
-
-
Calvetti, D.1
Reichel, L.2
Sorensen, D.C.3
-
8
-
-
0016369939
-
A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices
-
New York
-
J. Cullum and W.E. Donath, A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices, in: Proc. of the 1974 IEEE Conf. on Decision and Control, New York, 1974, pp. 505-509.
-
(1974)
Proc. of the 1974 IEEE Conf. on Decision and Control
, pp. 505-509
-
-
Cullum, J.1
Donath, W.E.2
-
10
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
J.J. Dongarra, J. DuCroz, I.E. Duff and S. Hammarling, A set of level 3 basic linear algebra subprograms, ACM Trans. Math. Software 16 (1990) 1-17.
-
(1990)
ACM Trans. Math. Software
, vol.16
, pp. 1-17
-
-
Dongarra, J.J.1
DuCroz, J.2
Duff, I.E.3
Hammarling, S.4
-
11
-
-
0043107177
-
Templates for band Lanczos methods and for the complex symmetric Lanczos method
-
Bell Laboratories January
-
R.W. Freund, Templates for band Lanczos methods and for the complex symmetric Lanczos method, Numerical Analysis Manuscript No. 99-3-01, Bell Laboratories (January 1999).
-
(1999)
Numerical Analysis Manuscript No. 99-3-01
-
-
Freund, R.W.1
-
12
-
-
0001707575
-
The block Lanczos method for computing eigenvalues
-
ed. J.R. Rice Academic Press, New York
-
G.H. Golub and R. Underwood, The block Lanczos method for computing eigenvalues, in: Mathematical Software, Vol. III, ed. J.R. Rice (Academic Press, New York, 1977) pp. 361-377.
-
(1977)
Mathematical Software
, vol.3
, pp. 361-377
-
-
Golub, G.H.1
Underwood, R.2
-
13
-
-
0004236492
-
-
Johns Hopkins Univ. Press, Baltimore, MD
-
G.H. Golub and C.F. Van Loan, Matrix Computations, 2nd ed. (Johns Hopkins Univ. Press, Baltimore, MD, 1989).
-
(1989)
Matrix Computations, 2nd Ed.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
14
-
-
0001976163
-
A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems
-
R.G. Grimes, J.L. Lewis and H.D. Simon, A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems, SIAM J. Matrix Anal. 15 (1994) 228-272.
-
(1994)
SIAM J. Matrix Anal.
, vol.15
, pp. 228-272
-
-
Grimes, R.G.1
Lewis, J.L.2
Simon, H.D.3
-
15
-
-
84972545058
-
An iterative method for finding characteristic vectors of a symmetric matrix
-
W. Karush, An iterative method for finding characteristic vectors of a symmetric matrix, Pacific J. Math. 1 (1951) 233-248.
-
(1951)
Pacific J. Math.
, vol.1
, pp. 233-248
-
-
Karush, W.1
-
16
-
-
0000094593
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, National Bureau of Standards 45 (1950) 225-282.
-
(1950)
National Bureau of Standards
, vol.45
, pp. 225-282
-
-
Lanczos, C.1
-
18
-
-
0032022456
-
Vibrational eigenstates of four-atom molecules: A parallel strategy employing the implicitly restarted Lanczos method, Comput
-
R.B. Lehoucq, S.K. Gray, D.H. Zhang and J.C. Light, Vibrational eigenstates of four-atom molecules: A parallel strategy employing the implicitly restarted Lanczos method, Comput. Phys. Comm. 109 (1998) 15-26.
-
(1998)
Phys. Comm.
, vol.109
, pp. 15-26
-
-
Lehoucq, R.B.1
Gray, S.K.2
Zhang, D.H.3
Light, J.C.4
-
19
-
-
0043106367
-
-
eds. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. Van der Vorst, SIAM, to be published
-
R.B. Lehoucq and K.J. Maschhoff, Block Arnoldi Method, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, eds. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. Van der Vorst, SIAM, to be published.
-
Block Arnoldi Method, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
-
-
Lehoucq, R.B.1
Maschhoff, K.J.2
-
20
-
-
0030502142
-
Deflation techniques for an implicitly restarted Arnoldi iteration
-
R.B. Lehoucq and D.C. Sorensen, Deflation techniques for an implicitly restarted Arnoldi iteration, SIAM J. Matrix Anal. Appl. 17 (1996) 789-821.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 789-821
-
-
Lehoucq, R.B.1
Sorensen, D.C.2
-
23
-
-
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. Statist. Comput. 7 (1986) 817-825.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 817-825
-
-
Morgan, R.B.1
Scott, D.S.2
-
24
-
-
72449139170
-
Computational variants of the Lanczos method for the eigenproblem
-
C.C. Paige, Computational variants of the Lanczos method for the eigenproblem, J. Inst. Math. Appl. 10 (1972) 373-381.
-
(1972)
J. Inst. Math. Appl.
, vol.10
, pp. 373-381
-
-
Paige, C.C.1
-
25
-
-
0040503580
-
The rewards for maintaining semi-orthogonality among Lanczos vectors
-
B.N. Parlett, The rewards for maintaining semi-orthogonality among Lanczos vectors, Numer. Linear Algebra Appl. 1 (1992) 243-267.
-
(1992)
Numer. Linear Algebra Appl.
, vol.1
, pp. 243-267
-
-
Parlett, B.N.1
-
28
-
-
84968487118
-
The Lanczos algorithm with selective orthogonalization
-
B.N. Parlett and D.S. Scott, The Lanczos algorithm with selective orthogonalization, Math. Comp. 33 (1979) 311-328.
-
(1979)
Math. Comp.
, vol.33
, pp. 311-328
-
-
Parlett, B.N.1
Scott, D.S.2
-
29
-
-
0025672456
-
Algorithm 686: FORTRAN subroutines for updating the QR decomposition of a matrix
-
L. Reichel and W.B. Gragg, Algorithm 686: FORTRAN subroutines for updating the QR decomposition of a matrix, ACM Trans. Math. Software 16 (1990) 369-377.
-
(1990)
ACM Trans. Math. Software
, vol.16
, pp. 369-377
-
-
Reichel, L.1
Gragg, W.B.2
-
30
-
-
84968508607
-
Implementation aspect of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices
-
A. Ruhe, Implementation aspect of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices, Math. Comp. 33 (1979) 680-687.
-
(1979)
Math. Comp.
, vol.33
, pp. 680-687
-
-
Ruhe, A.1
-
33
-
-
0030560293
-
A Jacobi-Davidson iteration method for linear eigenvalue problems
-
G.L.G. Sleijpen and H.A. van der Vorst, A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Appl. 17 (1996) 401-425.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 401-425
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
-
34
-
-
0000322706
-
Implicit application of polynomial filters in a k-step Arnoldi method
-
D.C. Sorensen, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl. 13 (1992) 357-385.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 357-385
-
-
Sorensen, D.C.1
-
35
-
-
0041621068
-
Thick-restart Lanczos method for symmetric eigenvalue problems
-
K. Wu and H. Simon, Thick-restart Lanczos method for symmetric eigenvalue problems, LBNL Report 41412 (1998).
-
(1998)
LBNL Report 41412
-
-
Wu, K.1
Simon, H.2
-
36
-
-
21344453446
-
An adaptive block Lanczos algorithm
-
Q. Ye, An adaptive block Lanczos algorithm, Numer. Algorithms 12 (1996) 97-110.
-
(1996)
Numer. Algorithms
, vol.12
, pp. 97-110
-
-
Ye, Q.1
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