-
1
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. DuCroz, A. Green-baum, S. Hammarling, A. McKenney, S. Ostrouchov and D. Sorensen (1992), LAPACK User's Guide, SIAM, Philadelphia, PA.
-
(1992)
Lapack User's Guide
-
-
Anderson, E.1
Bai, Z.2
Bischof, C.3
Demmel, J.4
Dongarra, J.5
DuCroz, J.6
Green-Baum, A.7
Hammarling, S.8
McKenney, A.9
Ostrouchov, S.10
Sorensen, D.11
-
2
-
-
1542498748
-
Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
-
J. Baglama, D. Calvetti and L. Reichel (1996), 'Iterative methods for the computation of a few eigenvalues of a large symmetric matrix', BIT 36, 400-440.
-
(1996)
Bit
, vol.36
, pp. 400-440
-
-
Baglama, J.1
Calvetti, D.2
Reichel, L.3
-
4
-
-
0031346306
-
SRRIT: A FORTRAN subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix
-
Z. Bai and G. W. Stewart (1997), 'SRRIT: A FORTRAN subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix', ACM Trans. Math. Software 23, 494.
-
(1997)
Acm Trans. Math. Software
, vol.23
, pp. 494
-
-
Bai, Z.1
Stewart, G.W.2
-
5
-
-
84880276311
-
-
Numerical Analysis Technical Report 01/21, OUCL, Oxford, UK
-
C. Beattie, M. Embree and J. Rossi (2001), Convergence of restarted Krylov subspaces to invariant subspaces, Numerical Analysis Technical Report 01/21, OUCL, Oxford, UK.
-
(2001)
Convergence of Restarted Krylov Subspaces to Invariant Subspaces
-
-
Beattie, C.1
Embree, M.2
Rossi, J.3
-
6
-
-
0002741413
-
Large scale singular value computations
-
M. Berry (1992), 'Large scale singular value computations', Supercomput. Appl. 6, 13-49.
-
(1992)
Supercomput. Appl.
, vol.6
, pp. 13-49
-
-
Berry, M.1
-
7
-
-
4344637576
-
-
Technical Report 2001-0113J, Sandia National Laboratories. Submitted to J. Comput. Phys
-
E. A. Burroughs, L. A. Romero, R. B. Lehoucq and A. J. Salinger (2001), Large scale eigenvalue calculations for computing the stability of buoyancy driven flows, Technical Report 2001-0113J, Sandia National Laboratories. Submitted to J. Comput. Phys.
-
(2001)
Large Scale Eigenvalue Calculations for Computing the Stability of Buoyancy Driven Flows
-
-
Burroughs, E.A.1
Romero, L.A.2
Lehoucq, R.B.3
Salinger, A.J.4
-
8
-
-
0002654780
-
An implicitly restarted Lanczos method for large symmetric eigenvalue problems
-
D. Calvetti, L. Reichel and D. Sorensen (1994), 'An implicitly restarted Lanczos method for large symmetric eigenvalue problems', ETNA 2, 1-21.
-
(1994)
Etna
, vol.2
, pp. 1-21
-
-
Calvetti, D.1
Reichel, L.2
Sorensen, D.3
-
10
-
-
0016369939
-
A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices
-
J. Cullum and W. E. Donath (1974), A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace for large, sparse symmetric matrices, in Proc. 1974 IEEE Conference on Decision and Control, New York, pp. 505-509.
-
(1974)
Proc. 1974 Ieee Conference on Decision and Control, New York
, pp. 505-509
-
-
Cullum, J.1
Donath, W.E.2
-
11
-
-
0000032911
-
Computing eigenvalues of very large symmetric matrices: An implementation of a Lanczos algorithm with no reorthogonalization
-
J. Cullum and R. A. Willoughby (1981), 'Computing eigenvalues of very large symmetric matrices: An implementation of a Lanczos algorithm with no reorthogonalization', J. Comput. Phys. 434, 329-358.
-
(1981)
J. Comput. Phys.
, vol.434
, pp. 329-358
-
-
Cullum, J.1
Willoughby, R.A.2
-
12
-
-
0003462314
-
-
Birkhäuser, Boston, MA
-
J. Cullum and R. A. Willoughby (1985), Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1: Theory, Birkhäuser, Boston, MA.
-
(1985)
Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1: Theory
-
-
Cullum, J.1
Willoughby, R.A.2
-
13
-
-
0040145952
-
A practical procedure for computing eigenvalues of large sparse nonsymmetric matrices
-
(J. Cullum and R. A. Willoughby, eds), North-Holland, Amsterdam
-
J. Cullum and R. A. Willoughby (1986), A practical procedure for computing eigenvalues of large sparse nonsymmetric matrices, in Large Scale Eigenvalue Problems (J. Cullum and R. A. Willoughby, eds), North-Holland, Amsterdam, pp. 193-240.
-
(1986)
Large Scale Eigenvalue Problems
, pp. 193-240
-
-
Cullum, J.1
Willoughby, R.A.2
-
14
-
-
84966217951
-
Reorthogonaliza-tion and stable algorithms for updating the Gram-Schmidt QR factorization
-
J. Daniel, W. B. Gragg, L. Kaufman and G. W. Stewart (1976), 'Reorthogonaliza-tion and stable algorithms for updating the Gram-Schmidt QR factorization', Math. Comput. 30, 772-795.
-
(1976)
Math. Comput.
, vol.30
, pp. 772-795
-
-
Daniel, J.1
Gragg, W.B.2
Kaufman, L.3
Stewart, G.W.4
-
15
-
-
5344230920
-
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real symmetric matrices
-
E. R. Davidson (1975), 'The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real symmetric matrices', J. Comput. Phys. 17, 87-94.
-
(1975)
J. Comput. Phys.
, vol.17
, pp. 87-94
-
-
Davidson, E.R.1
-
16
-
-
0000248114
-
Monster matrices: Their eigenvalues and eigenvectors
-
E. R. Davidson (1993), 'Monster matrices: Their eigenvalues and eigenvectors', Comput. Phys. 7, 519-522.
-
(1993)
Comput. Phys.
, vol.7
, pp. 519-522
-
-
Davidson, E.R.1
-
17
-
-
85095818115
-
-
Preprint 19/95, Department of Electronics, Technical University of Gdansk, Gdansk, Poland
-
M. P. Debicki, P. Jedrzejewski, J. Mielewski, P. Przybyszewski and M. Mrozowski (1995), Application of the Arnoldi method to the solution of electromagnetic eigenproblems on the multiprocessor power challenge architecture, Preprint 19/95, Department of Electronics, Technical University of Gdansk, Gdansk, Poland.
-
(1995)
Application of the Arnoldi Method to the Solution of Electromagnetic Eigenproblems on the Multiprocessor Power Challenge Architecture
-
-
Debicki, M.P.1
Jedrzejewski, P.2
Mielewski, J.3
Przybyszewski, P.4
Mrozowski, M.5
-
18
-
-
0012493293
-
-
Technical Report UT CS-95-281, LAPACK Working Note #94, University of Tennessee
-
J. Dongarra and R. C. Whaley (1995), A User's Guide to the BLACS v1.0, Technical Report UT CS-95-281, LAPACK Working Note #94, University of Tennessee.
-
(1995)
A User's Guide to the Blacs v1.0
-
-
Dongarra, J.1
Whaley, R.C.2
-
19
-
-
0025401417
-
A set of Level 3 Basic Linear Algebra Subprograms: Model implementation and test programs
-
J. J. Dongarra, J. DuCroz, I. Duff and S. Hammarling (1990), 'A set of Level 3 Basic Linear Algebra Subprograms: Model implementation and test programs', ACM Trans. Math. Software 16, 18-28.
-
(1990)
Acm Trans. Math. Software
, vol.16
, pp. 18-28
-
-
Dongarra, J.J.1
DuCroz, J.2
Duff, I.3
Hammarling, S.4
-
20
-
-
0023983122
-
An extended set of Fortran Basic Linear Algebra Subprograms
-
J. J. Dongarra, J. DuCroz, S. Hammarling and R. Hanson (1988), 'An extended set of Fortran Basic Linear Algebra Subprograms', ACM Trans. Math. Software 14, 1-17.
-
(1988)
Acm Trans. Math. Software
, vol.14
, pp. 1-17
-
-
Dongarra, J.J.1
DuCroz, J.2
Hammarling, S.3
Hanson, R.4
-
21
-
-
84966221080
-
The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
-
T. Ericsson and A. Ruhe (1980), 'The spectral transformation Lanczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems', Math. Comput. 35, 1251-1268.
-
(1980)
Math. Comput.
, vol.35
, pp. 1251-1268
-
-
Ericsson, T.1
Ruhe, A.2
-
22
-
-
84968521861
-
Newton interpolation in Chebyshev and Fejér points
-
B. Fischer and L. Reichel (1989), 'Newton interpolation in Chebyshev and Fejér points', Math. Comput. 53, 265-278.
-
(1989)
Math. Comput.
, vol.53
, pp. 265-278
-
-
Fischer, B.1
Reichel, L.2
-
23
-
-
0342496823
-
-
Technical Report 941, Mathematical Institute, Utrecht University
-
D. R. Fokkema, G. L. G. Sleijpen and H. A. van der Vorst (1996), Jacobi-Davidson style QR and QZ algorithms for the partial reduction of matrix pencils, Technical Report 941, Mathematical Institute, Utrecht University.
-
(1996)
Jacobi-Davidson Style Qr and Qz Algorithms for the Partial Reduction of Matrix Pencils
-
-
Fokkema, D.R.1
Sleijpen, G.L.G.2
Vorst Der Van, H.A.3
-
24
-
-
0001027363
-
Conjugate gradient-type methods for a linear systems with complex symmetric coefficient matrices
-
R. W. Freund (1992), 'Conjugate gradient-type methods for a linear systems with complex symmetric coefficient matrices', SIAM J. Sci. Comput. 13, 425-448.
-
(1992)
Siam J. Sci. Comput.
, vol.13
, pp. 425-448
-
-
Freund, R.W.1
-
25
-
-
25444452938
-
QMR: A quasi-minimal residual method for non-Hermitian linear systems
-
R. W. Freund and N. M. Nachtigal (1991), 'QMR: A quasi-minimal residual method for non-Hermitian linear systems', Numer. Math. 60, 315-339.
-
(1991)
Numer. Math.
, vol.60
, pp. 315-339
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
27
-
-
0040064698
-
-
PhD thesis, University of Bath, School of Mathematical Sciences, Bath, UK
-
T. J. Garratt (1991), The numerical detection of Hopf bifurcations in large systems arising in fluid mechanics, PhD thesis, University of Bath, School of Mathematical Sciences, Bath, UK.
-
(1991)
The Numerical Detection of Hopf Bifurcations in Large Systems Arising in Fluid Mechanics
-
-
Garratt, T.J.1
-
28
-
-
0001707575
-
The block Lanczos method for computing eigenvalues
-
(J. Rice, ed.), Academic Press, New York
-
G. H. Golub and R. Underwood (1977), The block Lanczos method for computing eigenvalues, in Mathematical Software III (J. Rice, ed.), Academic Press, New York, pp. 361-377.
-
(1977)
Mathematical Software Iii
, pp. 361-377
-
-
Golub, G.H.1
Underwood, R.2
-
30
-
-
0001976163
-
A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems
-
R. G. Grimes, J. G. Lewis and H. D. Simon (1994), 'A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems', SIAM J. Matrix Anal. Appl. 15, 228-272.
-
(1994)
Siam J. Matrix Anal. Appl.
, vol.15
, pp. 228-272
-
-
Grimes, R.G.1
Lewis, J.G.2
Simon, H.D.3
-
31
-
-
21844507092
-
The convergence of generalized Lanczos methods for large unsym-metric eigenproblems
-
Z. Jia (1995), 'The convergence of generalized Lanczos methods for large unsym-metric eigenproblems', SIAM J. Matrix Anal. Appl. 16, 843-862.
-
(1995)
Siam J. Matrix Anal. Appl.
, vol.16
, pp. 843-862
-
-
Jia, Z.1
-
32
-
-
84972545058
-
An iterative method for finding characteristics vectors of a symmetric matrix
-
W. Karush (1951), 'An iterative method for finding characteristics vectors of a symmetric matrix', Pacific J. Math. 1, 233-248.
-
(1951)
Pacific J. Math.
, vol.1
, pp. 233-248
-
-
Karush, W.1
-
33
-
-
0036223489
-
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
-
A. Knyazev (2001), 'Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method', SIAM J. Sci. Comput. 23, 517-541.
-
(2001)
Siam J. Sci. Comput.
, vol.23
, pp. 517-541
-
-
Knyazev, A.1
-
34
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
Research Paper 2133
-
C. Lanczos (1950), 'An iteration method for the solution of the eigenvalue problem of linear differential and integral operators', J. Res. Nat. Bur. Standards 45, 255-282. Research Paper 2133.
-
(1950)
J. Res. Nat. Bur. Standards
, vol.45
, pp. 255-282
-
-
Lanczos, C.1
-
35
-
-
0018515759
-
Basic Linear Algebra Subprograms for Fortran usage
-
C. Lawson, R. Hanson, D. Kincaid and F. Krogh (1979), 'Basic Linear Algebra Subprograms for Fortran usage.', ACM Trans. Math. Software 5, 308-329.
-
(1979)
Acm Trans. Math. Software
, vol.5
, pp. 308-329
-
-
Lawson, C.1
Hanson, R.2
Kincaid, D.3
Krogh, F.4
-
36
-
-
0003572311
-
-
PhD thesis, Rice University, Houston, TX, Also available as Technical report TR95-13, Department of Computational and Applied Mathematics
-
R. B. Lehoucq (1995), Analysis and Implementation of an Implicitly Restarted Iteration, PhD thesis, Rice University, Houston, TX. Also available as Technical report TR95-13, Department of Computational and Applied Mathematics.
-
(1995)
Analysis and Implementation of An Implicitly Restarted Iteration
-
-
Lehoucq, R.B.1
-
37
-
-
0036058969
-
Implicitly restarted Arnoldi methods and subspace iteration
-
R. B. Lehoucq (2001), 'Implicitly restarted Arnoldi methods and subspace iteration', SIAM J. Matrix Anal. Appl. 23, 551-562.
-
(2001)
Siam J. Matrix Anal. Appl.
, vol.23
, pp. 551-562
-
-
Lehoucq, R.B.1
-
38
-
-
0035877198
-
Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
-
R. B. Lehoucq and A. G. Salinger (2001), 'Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers', Internat. J. Numer. Methods Fluids 36, 309-327.
-
(2001)
Internat. J. Numer. Methods Fluids
, vol.36
, pp. 309-327
-
-
Lehoucq, R.B.1
Salinger, A.G.2
-
39
-
-
0003655113
-
-
Preprint MCS-P547-1195, Ar-gonne National Laboratory, Argonne, IL
-
R. B. Lehoucq and J. A. Scott (1996), An evaluation of software for computing eigenvalues of sparse nonsymmetric matrices, Preprint MCS-P547-1195, Ar-gonne National Laboratory, Argonne, IL.
-
(1996)
An Evaluation of Software for Computing Eigenvalues of Sparse Nonsymmetric Matrices
-
-
Lehoucq, R.B.1
Scott, J.A.2
-
40
-
-
0030502142
-
Deflation techniques for an implicitly restarted Arnoldi iteration
-
R. B. Lehoucq and D. C. Sorensen (1996), 'Deflation techniques for an implicitly restarted Arnoldi iteration', SIAM J. Matrix Anal. Appl. 17, 789-821.
-
(1996)
Siam J. Matrix Anal. Appl.
, vol.17
, pp. 789-821
-
-
Lehoucq, R.B.1
Sorensen, D.C.2
-
41
-
-
0003851780
-
-
SIAM Publications, Philadelphia, PA
-
R. B. Lehoucq, D. C. Sorensen and C. Yang (1998), ARPACK Users Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi methods, SIAM Publications, Philadelphia, PA.
-
(1998)
Arpack Users Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods
-
-
Lehoucq, R.B.1
Sorensen, D.C.2
Yang, C.3
-
42
-
-
34250261642
-
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
-
T. A. Manteuffel (1978), 'Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration', Numer. Math. 31, 183-208.
-
(1978)
Numer. Math.
, vol.31
, pp. 183-208
-
-
Manteuffel, T.A.1
-
43
-
-
84947907745
-
P ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures
-
Springer, Berlin
-
K. J. Maschhoff and D. C. Sorensen (1996), P ARPACK: An efficient portable large scale eigenvalue package for distributed memory parallel architectures, in Applied Parallel Computing in Industrial Problems and Optimization, Springer, Berlin, pp. 478-486.
-
(1996)
Applied Parallel Computing in Industrial Problems and Optimization
, pp. 478-486
-
-
Maschhoff, K.J.1
Sorensen, D.C.2
-
45
-
-
0039500754
-
Implicitly restarted Arnoldi with purification for the shift-invert transformation
-
K. Meerbergen and A. Spence (1997), 'Implicitly restarted Arnoldi with purification for the shift-invert transformation', Math. Comput. 218, 667-689.
-
(1997)
Math. Comput.
, vol.218
, pp. 667-689
-
-
Meerbergen, K.1
Spence, A.2
-
46
-
-
0000965239
-
Computing interior eigenvalues of large matrices
-
R. B. Morgan (1991), 'Computing interior eigenvalues of large matrices', Lin. Alg. Appl. 154-156, 289-309.
-
(1991)
Lin. Alg. Appl.
, vol.154-156
, pp. 289-309
-
-
Morgan, R.B.1
-
47
-
-
0030353046
-
On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
-
R. B. Morgan (1996), 'On restarting the Arnoldi method for large nonsymmetric eigenvalue problems', Math. Comput. 65, 1213-1230.
-
(1996)
Math. Comput.
, vol.65
, pp. 1213-1230
-
-
Morgan, R.B.1
-
48
-
-
0000888517
-
Preconditioning the Lanczos algorithm for sparse symmetric eigenvalue problems
-
R. B. Morgan and D. S. Scott (1993), 'Preconditioning the Lanczos algorithm for sparse symmetric eigenvalue problems', SIAM J. Sci. Comput. 14, 585-593.
-
(1993)
Siam J. Sci. Comput.
, vol.14
, pp. 585-593
-
-
Morgan, R.B.1
Scott, D.S.2
-
49
-
-
0003413672
-
-
MPI Forum, Internat. J. Su-percomput. Appl. High Performance Comput. Special issue on MPI. Electronic form: ftp://www.netlib.org/mpi/mpi-report.ps
-
MPI Forum (1994), 'MPI: A Message-Passing Interface standard', Internat. J. Su-percomput. Appl. High Performance Comput. Special issue on MPI. Electronic form: ftp://www.netlib.org/mpi/mpi-report.ps.
-
(1994)
MPI: A Message-Passing Interface Standard
-
-
-
50
-
-
0001742428
-
Passing the one-billion limit in full configuration-interaction (FCI) calculations
-
J. Olsen, P. Jørgensen and J. Simons (1990), 'Passing the one-billion limit in full configuration-interaction (FCI) calculations', Chem. Phys. Lett. 169, 463-472.
-
(1990)
Chem. Phys. Lett.
, vol.169
, pp. 463-472
-
-
Olsen, J.1
Jørgensen, P.2
Simons, J.3
-
52
-
-
84985350406
-
Approximate solutions and eigenvalue bounds from Krylov subspaces
-
C. C. Paige, B. N. Parlett and H. A. van der Vorst (1995), 'Approximate solutions and eigenvalue bounds from Krylov subspaces', Numer. Lin. Alg. Appl. 2, 115-134.
-
(1995)
Numer. Lin. Alg. Appl.
, vol.2
, pp. 115-134
-
-
Paige, C.C.1
Parlett, B.N.2
Vorst Der Van, H.A.3
-
54
-
-
0012756718
-
Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems
-
B. N. Parlett and J. K. Reid (1981), 'Tracking the progress of the Lanczos algorithm for large symmetric eigenproblems', IMA J. Numer. Anal. 1, 135-155.
-
(1981)
Ima J. Numer. Anal.
, vol.1
, pp. 135-155
-
-
Parlett, B.N.1
Reid, J.K.2
-
55
-
-
84968487118
-
The Lanczos algorithm with selective orthogon-alization
-
B. N. Parlett and D. Scott (1979), 'The Lanczos algorithm with selective orthogon-alization', Math. Comput. 33, 217-238.
-
(1979)
Math. Comput.
, vol.33
, pp. 217-238
-
-
Parlett, B.N.1
Scott, D.2
-
56
-
-
0012089844
-
Newton interpolation at Leja points
-
L. Reichel (1990), 'Newton interpolation at Leja points', BIT 30, 332-346.
-
(1990)
Bit
, vol.30
, pp. 332-346
-
-
Reichel, L.1
-
57
-
-
0001409002
-
The rational Krylov algorithm for nonsymmetric eigenvalue problems, III: Complex shifts for real matrices
-
A. Ruhe (1994a), 'The rational Krylov algorithm for nonsymmetric eigenvalue problems, III: Complex shifts for real matrices', BIT 34, 165-176.
-
(1994)
Bit
, vol.34
, pp. 165-176
-
-
Ruhe, A.1
-
58
-
-
43949153380
-
Rational Krylov algorithms for nonsymmetric eigenvalue problems, II: Matrix pairs
-
A. Ruhe (1994b), 'Rational Krylov algorithms for nonsymmetric eigenvalue problems, II: Matrix pairs', Lin. Alg. Appl. 197-198, 283-295.
-
(1994)
Lin. Alg. Appl.
, vol.197-198
, pp. 283-295
-
-
Ruhe, A.1
-
59
-
-
49149143501
-
Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
-
Y. Saad (1980), 'Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices', Lin. Alg. Appl. 34, 269-295.
-
(1980)
Lin. Alg. Appl.
, vol.34
, pp. 269-295
-
-
Saad, Y.1
-
60
-
-
84936777186
-
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems
-
Y. Saad (1984), 'Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems', Math. Comput. 42, 567-588.
-
(1984)
Math. Comput.
, vol.42
, pp. 567-588
-
-
Saad, Y.1
-
62
-
-
84985408358
-
ILUT: A dual threshold incomplete LU factorization
-
Y. Saad (1994), 'ILUT: A dual threshold incomplete LU factorization', Numer. Lin. Alg. Appl. 1, 387-402.
-
(1994)
Numer. Lin. Alg. Appl.
, vol.1
, pp. 387-402
-
-
Saad, Y.1
-
63
-
-
85095808320
-
An Arnoldi code for computing selected eigenvalues of sparse real unsymmetric matrices
-
J. A. Scott (2000), 'An Arnoldi code for computing selected eigenvalues of sparse real unsymmetric matrices', ACM Trans. Math. Software.
-
(2000)
Acm Trans. Math. Software
-
-
Scott, J.A.1
-
64
-
-
0000682936
-
Analysis of the symmetric Lanczos algorithm with reorthogon-alization methods
-
H. Simon (1984), 'Analysis of the symmetric Lanczos algorithm with reorthogon-alization methods', Lin. Alg. Appl. 61, 101-131.
-
(1984)
Lin. Alg. Appl.
, vol.61
, pp. 101-131
-
-
Simon, H.1
-
65
-
-
21344455392
-
Ritz and pseudo-Ritz values using matrix polynomials
-
V. Simoncini (1996), 'Ritz and pseudo-Ritz values using matrix polynomials', Lin. Alg. Appl. 241-243, 787-801.
-
(1996)
Lin. Alg. Appl.
, vol.241-243
, pp. 787-801
-
-
Simoncini, V.1
-
66
-
-
0003184308
-
An overview of approaches for the stable computation of hybrid BiCG methods
-
G. L. G. Sleijpen and H. A. van der Vorst (1995), 'An overview of approaches for the stable computation of hybrid BiCG methods', Appl. Numer. Math. 19, 235-254.
-
(1995)
Appl. Numer. Math.
, vol.19
, pp. 235-254
-
-
Sleijpen, G.L.G.1
Vorst Der Van, H.A.2
-
67
-
-
0030560293
-
A Jacobi-Davidson iteration method for linear eigenvalue problems
-
G. L. G. Sleijpen and H. A. van der Vorst (1996), 'A Jacobi-Davidson iteration method for linear eigenvalue problems', SIAM J. Matrix Anal. Appl. 17, 401-425.
-
(1996)
Siam J. Matrix Anal. Appl.
, vol.17
, pp. 401-425
-
-
Sleijpen, G.L.G.1
Vorst Der Van, H.A.2
-
68
-
-
0000322706
-
Implicit application of polynomial filters in a k-step Arnoldi method
-
D. C. Sorensen (1992), 'Implicit application of polynomial filters in a k-step Arnoldi method', SIAM J. Matrix Anal. Appl. 13, 357-385.
-
(1992)
Siam J. Matrix Anal. Appl.
, vol.13
, pp. 357-385
-
-
Sorensen, D.C.1
-
69
-
-
0032348061
-
A truncated RQ-iteration for large scale eigenvalue calculations
-
D. C. Sorensen and C. Yang (1998), 'A truncated RQ-iteration for large scale eigenvalue calculations', SIAM J. Matrix Anal. Appl. 19, 1045-1073.
-
(1998)
Siam J. Matrix Anal. Appl.
, vol.19
, pp. 1045-1073
-
-
Sorensen, D.C.1
Yang, C.2
-
70
-
-
0346555718
-
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods
-
A. Stathopoulos, Y. Saad and K. Wu (1998), 'Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods', SIAM J. Sci. Comput. 19, 227-245.
-
(1998)
Siam J. Sci. Comput.
, vol.19
, pp. 227-245
-
-
Stathopoulos, A.1
Saad, Y.2
Wu, K.3
-
71
-
-
0036018626
-
A Krylov-Schur algorithm for large eigenproblems
-
G. W. Stewart (2001), 'A Krylov-Schur algorithm for large eigenproblems', SIAM J. Matrix Anal. Appl. 23, 601-614.
-
(2001)
Siam J. Matrix Anal. Appl.
, vol.23
, pp. 601-614
-
-
Stewart, G.W.1
-
72
-
-
84976858260
-
Algorithm 570: LOPSI, A Fortran subroutine for approximations to right or left eigenvectors corresponding to the dominant set of eigenvalues of a real symmetric matrix
-
W. J. Stewart and A. Jennings (1981), 'Algorithm 570: LOPSI, A Fortran subroutine for approximations to right or left eigenvectors corresponding to the dominant set of eigenvalues of a real symmetric matrix', ACM Trans. Math. Software 7, 230-232.
-
(1981)
Acm Trans. Math. Software
, vol.7
, pp. 230-232
-
-
Stewart, W.J.1
Jennings, A.2
-
73
-
-
0000992781
-
Pseudospectra of matrices
-
(D. F. Griffiths and G. A. Watson, eds), Longman
-
L. N. Trefethen (1992), Pseudospectra of matrices, in Numerical Analysis 1991 (D. F. Griffiths and G. A. Watson, eds), Longman, pp. 234-266.
-
(1992)
Numerical Analysis 1991
, pp. 234-266
-
-
Trefethen, L.N.1
-
74
-
-
85011519633
-
Computation of pseudospectra
-
Cambridge University Press
-
L. N. Trefethen (1999), Computation of pseudospectra, in Acta Numerica, Vol. 9, Cambridge University Press, pp. 247-296.
-
(1999)
Acta Numerica
, vol.9
, pp. 247-296
-
-
Trefethen, L.N.1
|