-
1
-
-
18744388753
-
Templates for the solution of algebraic Eigenvalue problems: A practical guide
-
SIAM, Philadelphia
-
Z. BAI, J. DEMMEL, J. DONGARRA, A. RUHE, AND H. A. 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
-
-
Bai, Z.1
Demmel, J.2
Dongarra, J.3
Ruhe, A.4
Van Der Vorst, H.A.5
-
2
-
-
0032203627
-
MINRES and MINERR are better than SYMMLQ in eigenpair computations
-
F. A. DUL, MINRES and MINERR are better than SYMMLQ in eigenpair computations, SIAM J. Sci. Comput., 19 (1998), pp. 1767-1782.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1767-1782
-
-
Dul, F.A.1
-
3
-
-
0032131701
-
Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils
-
D. R. FOKKEMA, G. L. G. SLEIJPEN, AND H. A. VAN DER VORST, Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils, SIAM J. Sci. Comput., 20 (1998), pp. 94-125.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 94-125
-
-
Fokkema, D.R.1
Sleijpen, G.L.G.2
Van Der Vorst, H.A.3
-
5
-
-
85046528357
-
Inexact inverse iterations for the generalized eigenvalue problems
-
G. H. GOLUB AND Q. YE, Inexact inverse iterations for the generalized eigenvalue problems, BIT, 40 (2000), pp. 672-684.
-
(2000)
BIT
, vol.40
, pp. 672-684
-
-
Golub, G.H.1
Ye, Q.2
-
7
-
-
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
-
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; also available online from http://www-math.cudenver.edu/ccmreports/rep173.pdf, CU-Denver, 2001.
-
(2001)
Linear Algebra Appl.
, vol.358
, pp. 95-114
-
-
Knyazev, A.V.1
Neymeyr, K.2
-
10
-
-
0031514762
-
An inexact inverse iteration for large sparse eigenvalue problems
-
Y.-L. LAI, K.-Y. LIN, AND W.-W. LIN, An inexact inverse iteration for large sparse eigenvalue problems, Numer. Linear Algebra Appl., 4 (1997), pp. 425-437.
-
(1997)
Numer. Linear Algebra Appl.
, vol.4
, pp. 425-437
-
-
Lai, Y.-L.1
Lin, K.-Y.2
Lin, W.-W.3
-
11
-
-
0035586115
-
A geometric theory for preconditioned inverse iteration I: Extrema of the Rayleigh quotient
-
K. NEYMEYR, A geometric theory for preconditioned inverse iteration I: Extrema of the Rayleigh quotient, Linear Algebra Appl., 322 (2001), pp. 61-85.
-
(2001)
Linear Algebra Appl.
, vol.322
, pp. 61-85
-
-
Neymeyr, K.1
-
12
-
-
0035585865
-
A geometric theory for preconditioned inverse iteration II: Convergence estimates
-
K. NEYMEYR, A geometric theory for preconditioned inverse iteration II: Convergence estimates, Linear Algebra Appl., 322 (2001), pp. 87-104.
-
(2001)
Linear Algebra Appl.
, vol.322
, pp. 87-104
-
-
Neymeyr, K.1
-
13
-
-
0042275959
-
-
habilitationsschrift an der mathematischen fakultät, Universität Tübingen, Tübingen, Germany
-
K. NEYMEYR, A Hierarchy of Preconditioned Eigensolvers for Elliptic Differential Operators, habilitationsschrift an der mathematischen fakultät, Universität Tübingen, Tübingen, Germany, 2001.
-
(2001)
A Hierarchy of Preconditioned Eigensolvers for Elliptic Differential Operators
-
-
Neymeyr, K.1
-
14
-
-
0036101413
-
Combination of Jacobi-Davids on and conjugate gradients for the partial symmetric eigenproblem
-
Y. NOTAY, Combination of Jacobi-Davids on 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
-
16
-
-
0000080063
-
Inverse iteration, ill-conditioned equations and Newton's method
-
G. PETERS AND J. H. WILKINSON, Inverse iteration, ill-conditioned equations and Newton's method, SIAM Rev., 21 (1979), pp. 339-360.
-
(1979)
SIAM Rev.
, vol.21
, pp. 339-360
-
-
Peters, G.1
Wilkinson, J.H.2
-
19
-
-
0009924727
-
Inexact Rayleigh quotient-type methods for eigenvalue computations
-
V. SIMONCINI AND L. ELDÉN, Inexact Rayleigh quotient-type methods for eigenvalue computations, BIT, 42 (2002), pp. 159-182.
-
(2002)
BIT
, vol.42
, pp. 159-182
-
-
Simoncini, V.1
Eldén, L.2
-
20
-
-
1542498668
-
Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
-
G. L. G. SLEIJPEN, A. BOOTEN, D. R. FOKKEMA, AND H. A. VAN DER VORST, Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems, BIT, 36 (1996), pp. 595-633.
-
(1996)
BIT
, vol.36
, pp. 595-633
-
-
Sleijpen, G.L.G.1
Booten, A.2
Fokkema, D.R.3
Van Der Vorst, H.A.4
-
21
-
-
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
-
22
-
-
78651487756
-
Hermitian eigenvalue problems, Generalized Hermitian eigenvalue problems
-
Software Environ. Tools 11, SIAM, Philadelphia, Chapters 4.7, 5.6
-
G. L. G. SLEIJPEN AND H. A. VAN DER VORST, Hermitian eigenvalue problems, Generalized Hermitian eigenvalue problems, in Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, Software Environ. Tools 11, SIAM, Philadelphia, 2000, Chapters 4.7, 5.6.
-
(2000)
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
-
23
-
-
0001917562
-
Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems
-
G. L. G. SLEIJPEN, H. A. VAN DER VORST, AND E. MEIJERINK, Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems, Electron. Trans. Numer. Anal., 7 (1998), pp. 75-89.
-
(1998)
Electron. Trans. Numer. Anal.
, vol.7
, pp. 75-89
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
Meijerink, E.3
-
24
-
-
0033479131
-
The effects of inexact solvers in algorithms for symmetric eigenvalue problems
-
P. SMIT AND M. H. C. PAARDEKOOPER, The effects of inexact solvers in algorithms for symmetric eigenvalue problems, Linear Algebra Appl., 287 (1999), pp. 337-357.
-
(1999)
Linear Algebra Appl.
, vol.287
, pp. 337-357
-
-
Smit, P.1
Paardekooper, M.H.C.2
-
25
-
-
0009196276
-
Criteria for combining inverse and Rayleigh quotient iteration
-
D. B. SZYLD, Criteria for combining inverse and Rayleigh quotient iteration, SIAM J. Numer. Anal., 25 (1988), pp. 1369-1375.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 1369-1375
-
-
Szyld, D.B.1
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