-
1
-
-
0003893794
-
Templates for the solution of algebraic eigenvalue problems: A practical guide
-
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. Van Der Vorst, eds.; SIAM, Philadelphia
-
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. Van Der Vorst, eds., Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Software Environ. Tools 11, SIAM, Philadelphia, 2000.
-
(2000)
Software Environ. Tools
, vol.11
-
-
-
2
-
-
0002232921
-
The Davidson method
-
M. Crouzeix, B. Philippe, and M. Sadkane, The Davidson method, SIAM J. Sci. Comput., 15 (1994), pp. 62-76.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 62-76
-
-
Crouzeix, M.1
Philippe, B.2
Sadkane, M.3
-
3
-
-
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, J. Computational Phys., 17 (1975), pp. 87-94.
-
(1975)
J. Computational Phys.
, vol.17
, pp. 87-94
-
-
Davidson, E.R.1
-
4
-
-
34250972588
-
Chebyshev semi-iterative methods, successive overrelaxation iterative methods and second order Richardson iterative methods
-
G. H. Golub and R. S. Varga, Chebyshev semi-iterative methods, successive overrelaxation iterative methods and second order Richardson iterative methods, Numer. Math., 3 (1961), pp. 147-168.
-
(1961)
Numer. Math.
, vol.3
, pp. 147-168
-
-
Golub, G.H.1
Varga, R.S.2
-
5
-
-
0000141536
-
Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem
-
A. V. Knyazev, Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem, Soviet J. Numer. Anal. Math. Modelling, 2 (1987), pp. 371-396.
-
(1987)
Soviet J. Numer. Anal. Math. Modelling
, vol.2
, pp. 371-396
-
-
Knyazev, A.V.1
-
6
-
-
0001139744
-
A preconditioned conjugate gradient method for eigenvalue problems and its implementation in a subspace
-
Birkhäuser, Basel
-
A. V. Knyazev, A Preconditioned Conjugate Gradient Method for Eigenvalue Problems and Its Implementation in a Subspace, Internat. Ser. Numer. Math. 96, Birkhäuser, Basel, 1991, pp. 143-154.
-
(1991)
Internat. Ser. Numer. Math.
, vol.96
, pp. 143-154
-
-
Knyazev, A.V.1
-
7
-
-
0000522446
-
Preconditioned eigensolvers - An oxymoron?
-
A. V. Knyazev, Preconditioned eigensolvers - an oxymoron?, Electron. Trans. Numer. Anal., 7 (1998), pp. 104-123.
-
(1998)
Electron. Trans. Numer. Anal.
, vol.7
, pp. 104-123
-
-
Knyazev, A.V.1
-
8
-
-
0036223489
-
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
-
A. V. Knyazev, Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method, SIAM J. Sci. Comput., 23 (2001), pp. 517-541.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 517-541
-
-
Knyazev, A.V.1
-
9
-
-
32044463478
-
A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems
-
A. V. Knyazev and K. Neymeyr, A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems, Linear Algebra Appl., 358 (2003), pp. 95-114.
-
(2003)
Linear Algebra Appl.
, vol.358
, pp. 95-114
-
-
Knyazev, A.V.1
Neymeyr, K.2
-
10
-
-
0036101413
-
Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem
-
Y. Notay, Combination of Jacobi-Davidson and conjugate gradients for the partial symmetric eigenproblem, Numer. Linear Algebra Appl., 9 (2002), pp. 21-44.
-
(2002)
Numer. Linear Algebra Appl.
, vol.9
, pp. 21-44
-
-
Notay, Y.1
-
11
-
-
0033354544
-
On the convergence rate of a preconditioned subspace eigensolver
-
S. Oliveira, On the convergence rate of a preconditioned subspace eigensolver, Computing, 63 (1999), pp. 219-231.
-
(1999)
Computing
, vol.63
, pp. 219-231
-
-
Oliveira, S.1
-
12
-
-
1842617675
-
Convergence estimates for the generalized Davidson method for symmetric eigenvalue problems
-
Technical report, University of Westminster, London, UK
-
E. Ovtchinnikov, Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems, Technical report, University of Westminster, London, UK, 2001.
-
(2001)
-
-
Ovtchinnikov, E.1
-
13
-
-
1842563888
-
Convergence estimates for the generalized Davidson method for symmetric eigenvalue problems I: The preconditioning aspect
-
E. Ovtchinnikov, Convergence estimates for the generalized Davidson method for symmetric eigenvalue problems I: The preconditioning aspect, SIAM J. Numer. Anal., 41 (2003), pp. 258-271.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 258-271
-
-
Ovtchinnikov, E.1
-
14
-
-
1842617678
-
Generalized Davidson versus conjugate gradient methods: A numerical study
-
manuscript
-
E. Ovtchinnikov, Generalized Davidson Versus Conjugate Gradient Methods: A Numerical Study, manuscript, 2002.
-
(2002)
-
-
Ovtchinnikov, E.1
-
15
-
-
25744447680
-
Convergence estimates for preconditioned gradient subspace iteration eigensolvers
-
Technical report 1244, University of Utrecht, Utrecht, the Netherlands, June
-
E. Ovtchinnikov, Convergence Estimates for Preconditioned Gradient Subspace Iteration Eigensolvers, Technical report 1244, University of Utrecht, Utrecht, the Netherlands, June 2002.
-
(2002)
-
-
Ovtchinnikov, E.1
-
16
-
-
84966257139
-
The Rayleigh quotient iteration and some generalizations
-
B. N. Parlett, The Rayleigh quotient iteration and some generalizations, Math. Comp., 28 (1974), pp. 679-693.
-
(1974)
Math. Comp.
, vol.28
, pp. 679-693
-
-
Parlett, B.N.1
-
17
-
-
0003212342
-
Numerical methods for large eigenvalue problems
-
Manchester University Press, Manchester, UK, Halsted Press, New York
-
Y. Saad, Numerical Methods for Large Eigenvalue Problems, Algorithms Archit. Adv. Sci. Comput., Manchester University Press, Manchester, UK, Halsted Press, New York, 1992.
-
(1992)
Algorithms Archit. Adv. Sci. Comput.
-
-
Saad, Y.1
-
18
-
-
0000057534
-
The steepest descent method for an eigenvalue problem with semi-bounded operators
-
B. Samokish, The steepest descent method for an eigenvalue problem with semi-bounded operators, Izv. Vyssh. Uchebn. Zaved. Mat., 5 (1958), pp. 105-114.
-
(1958)
Izv. Vyssh. Uchebn. Zaved. Mat.
, vol.5
, pp. 105-114
-
-
Samokish, B.1
-
19
-
-
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), pp. 401-425.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 401-425
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
|