-
1
-
-
0012103078
-
Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations
-
P. Arbenz, W. Gander, G.H. Golub, Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations, Linear Algebra Appl. 104 (1988) 75-95.
-
(1988)
Linear Algebra Appl.
, vol.104
, pp. 75-95
-
-
Arbenz, P.1
Gander, W.2
Golub, G.H.3
-
2
-
-
0344845742
-
A subspace preconditioning algorithm for eigenvector/eigenvalue computation
-
J.H. Bramble, A.V. Knyazev, J.E. Pasciak, A subspace preconditioning algorithm for eigenvector/eigenvalue computation, Adv. Comput. Math. 6 (1996) 159-189.
-
(1996)
Adv. Comput. Math.
, vol.6
, pp. 159-189
-
-
Bramble, J.H.1
Knyazev, A.V.2
Pasciak, J.E.3
-
3
-
-
0002316189
-
Rank-one modification of the symmetric eigenproblem
-
J.R. Bunch, C.P. Nielsen, D.C. Sorensen, Rank-one modification of the symmetric eigenproblem, Numer. Math. 31 (1978) 31-48.
-
(1978)
Numer. Math.
, vol.31
, pp. 31-48
-
-
Bunch, J.R.1
Nielsen, C.P.2
Sorensen, D.C.3
-
5
-
-
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. Comput. Phys. 17 (1975) 87-94.
-
(1975)
J. Comput. Phys.
, vol.17
, pp. 87-94
-
-
Davidson, E.R.1
-
6
-
-
0001070999
-
Some modified matrix eigenvalue problems
-
G.H. Golub, Some modified matrix eigenvalue problems, SIAM Rev. 15 (1973) 318-334.
-
(1973)
SIAM Rev.
, vol.15
, pp. 318-334
-
-
Golub, G.H.1
-
9
-
-
0028483153
-
Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems
-
A.V. Knyazev, A.L. Skorokhodov, Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems, SIAM J. Numer. Anal. 31 (1994) 1226-1239.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1226-1239
-
-
Knyazev, A.V.1
Skorokhodov, A.L.2
-
10
-
-
0031521086
-
New estimates for Ritz vectors
-
A.V. Knyazev, New estimates for Ritz vectors, Math. Comp. 66 (1997) 985-995.
-
(1997)
Math. Comp.
, vol.66
, pp. 985-995
-
-
Knyazev, A.V.1
-
11
-
-
0000522446
-
Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems
-
A.V. Knyazev, Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems, ETNA 7 (1998) 104-123.
-
(1998)
ETNA
, vol.7
, pp. 104-123
-
-
Knyazev, A.V.1
-
12
-
-
0004207367
-
-
Macdonald, London
-
G. Kron, Diakoptics, Macdonald, London, 1963.
-
(1963)
Diakoptics
-
-
Kron, G.1
-
13
-
-
0000677797
-
A multilevel variational method for Au = λBu on composite grids
-
J. Mandel, S. McCormick, A multilevel variational method for Au = λBu on composite grids, J. Comput. Phys. 80 (1989) 442-450.
-
(1989)
J. Comput. Phys.
, vol.80
, pp. 442-450
-
-
Mandel, J.1
McCormick, S.2
-
14
-
-
0028730998
-
Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory
-
S.F. McCormick, Multilevel adaptive methods for elliptic eigenproblems: A two-level convergence theory, SIAM J. Numer. Anal. 31 (1994) 1731-1745.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1731-1745
-
-
McCormick, S.F.1
-
15
-
-
0001398614
-
Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices
-
R.B. Morgan, 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
-
18
-
-
0000080063
-
Inverse iteration, ill-conditioned equations and Newton's method
-
G. Peters, J.H. Wilkinson, Inverse iteration, ill-conditioned equations and Newton's method, SIAM Review. 21 (1979) 339-360.
-
(1979)
SIAM Review
, vol.21
, pp. 339-360
-
-
Peters, G.1
Wilkinson, J.H.2
-
19
-
-
0022795295
-
The Lanczos algorithm applied to Kron's method
-
N.S. Sehmi, The Lanczos algorithm applied to Kron's method, Internat. J. Numer. Meth. Engrg. 23 (1986) 1857-1872.
-
(1986)
Internat. J. Numer. Meth. Engrg.
, vol.23
, pp. 1857-1872
-
-
Sehmi, N.S.1
-
20
-
-
0041566848
-
Approximations in Kron's eigenvalue method
-
A. Simpson, Approximations in Kron's eigenvalue method, Quart. J. Mech. Appl. Math. 41 (1988) 155-181.
-
(1988)
Quart. J. Mech. Appl. Math.
, vol.41
, pp. 155-181
-
-
Simpson, A.1
-
21
-
-
0030560293
-
A Jacobi-Davidson iteration method for linear eigenvalue problems
-
G.L.G. Sleijpen, H.A. Van der Vorst, A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Applic. 17 (1996) 401-425.
-
(1996)
SIAM J. Matrix Anal. Applic.
, vol.17
, pp. 401-425
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
-
22
-
-
0003419897
-
-
Cambridge University Press, Cambridge
-
B. Smith, P.E. Bjørstad, W. Gropp, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, Cambridge, 1996.
-
(1996)
Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations
-
-
Smith, B.1
Bjørstad, P.E.2
Gropp, W.3
-
25
-
-
0000570696
-
Iterative methods by space decomposition and subspace correction
-
J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Review. 34 (1992) 581-613.
-
(1992)
SIAM Review
, vol.34
, pp. 581-613
-
-
Xu, J.1
-
26
-
-
0008832104
-
On the Homotopy method for perturbed symmetric generalized eigenvalue problem
-
T. Zhang, K.H. Law, G.H. Golub, On the Homotopy method for perturbed symmetric generalized eigenvalue problem, SIAM J. Sci. Comput. 19 (1998) 1625-1645.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1625-1645
-
-
Zhang, T.1
Law, K.H.2
Golub, G.H.3
-
27
-
-
0032090342
-
Eigenvalue perturbation and generalized Krylov subspace method
-
T. Zhang, G.H. Golub, K.H. Law, Eigenvalue perturbation and generalized Krylov subspace method, Appl. Numer. Math. 27 (1998) 185-202.
-
(1998)
Appl. Numer. Math.
, vol.27
, pp. 185-202
-
-
Zhang, T.1
Golub, G.H.2
Law, K.H.3
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