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Volumn 26, Issue 2, 2005, Pages 477-497

A Jacobi-Davidson type method for the two-parameter eigenvalue problem

Author keywords

Correction equation; Jacobi Davidson method; Petrov Galerkin; Subspace method; Two parameter eigenvalue problem; Two sided approach

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; TENSORS; VECTORS;

EID: 17444371208     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479802418318     Document Type: Article
Times cited : (56)

References (23)
  • 1
    • 84968521695 scopus 로고
    • Multiparameter spectral theory
    • F. V. ATKINSON, Multiparameter spectral theory, Bull. Amer. Math. Soc., 74 (1968), pp. 1-27.
    • (1968) Bull. Amer. Math. Soc. , vol.74 , pp. 1-27
    • Atkinson, F.V.1
  • 4
    • 0013089765 scopus 로고
    • Numerical solution of some two-parameter eigenvalue problems
    • Slovenian Academie of Science and Art, Ljubljana, Slovenia
    • Z. BOHTE, Numerical solution of some two-parameter eigenvalue problems, in Anton Kuhelj Memorial Volume, Slovenian Academie of Science and Art, Ljubljana, Slovenia, 1982, pp. 17-28.
    • (1982) Anton Kuhelj Memorial Volume , pp. 17-28
    • Bohte, Z.1
  • 6
    • 0035392023 scopus 로고    scopus 로고
    • Dynamic model updating - A multiparameter eigenvalue problem
    • N. COTTIN, Dynamic model updating - A multiparameter eigenvalue problem, Mech. Systems Signal Process., 15 (2001), pp. 649-665.
    • (2001) Mech. Systems Signal Process. , vol.15 , pp. 649-665
    • Cottin, N.1
  • 9
  • 10
    • 0037265568 scopus 로고    scopus 로고
    • A Jacobi-Davidson type method for a right definite two-parameter eigenvalue problem
    • M. E. HOCHSTENBACH AND B. PLESTENJAK, A Jacobi-Davidson type method for a right definite two-parameter eigenvalue problem, SIAM J. Matrix Anal. Appl., 24 (2002), pp. 392-410.
    • (2002) SIAM J. Matrix Anal. Appl. , vol.24 , pp. 392-410
    • Hochstenbach, M.E.1    Plestenjak, B.2
  • 11
    • 0142030961 scopus 로고    scopus 로고
    • Backward error, condition numbers, and pseudospectrum for the multiparameter eigenvalue problem
    • M. E. HOCHSTENBACH AND B. PLESTENJAK, Backward error, condition numbers, and pseudospectrum for the multiparameter eigenvalue problem, Linear Algebra Appl., 375 (2003), pp. 63-81.
    • (2003) Linear Algebra Appl. , vol.375 , pp. 63-81
    • Hochstenbach, M.E.1    Plestenjak, B.2
  • 12
    • 0003090980 scopus 로고
    • Numerical solution of joint eigenpairs of a family of commutative matrices
    • X. JI, Numerical solution of joint eigenpairs of a family of commutative matrices, Appl. Math. Lett., 4 (1991), pp. 57-60.
    • (1991) Appl. Math. Lett. , vol.4 , pp. 57-60
    • Ji, X.1
  • 13
    • 0041016901 scopus 로고
    • Finite dimensional multiparameter spectral theory: The nonderogatory case
    • T. KOŠIR, Finite dimensional multiparameter spectral theory: The nonderogatory case, Linear Algebra Appl., 212/213 (1994), pp. 45-70.
    • (1994) Linear Algebra Appl. , vol.212-213 , pp. 45-70
    • Košir, T.1
  • 14
    • 0021404192 scopus 로고
    • Eigenvalues of the Laplacian in two dimensions
    • J. R. KUTTLER AND V. G. SIGILLITO, Eigenvalues of the Laplacian in two dimensions, SIAM Rev., 26 (1984), pp. 163-193.
    • (1984) SIAM Rev. , vol.26 , pp. 163-193
    • Kuttler, J.R.1    Sigillito, V.G.2
  • 16
    • 17444397868 scopus 로고
    • Iterative procedures for solving finite-difference approximations to separable partial differential equation
    • M. R. OSBORNE, Iterative procedures for solving finite-difference approximations to separable partial differential equation, Comput. J., 6 (1963), pp. 93-99.
    • (1963) Comput. J. , vol.6 , pp. 93-99
    • Osborne, M.R.1
  • 17
    • 0034144757 scopus 로고    scopus 로고
    • A continuation method for a right definite two-parameter eigenvalue problem
    • B. PLESTENJAK, A continuation method for a right definite two-parameter eigenvalue problem, SIAM J. Matrix Anal. Appl., 21 (2000), pp. 1163-1184.
    • (2000) SIAM J. Matrix Anal. Appl. , vol.21 , pp. 1163-1184
    • Plestenjak, B.1
  • 18
    • 0035529767 scopus 로고    scopus 로고
    • A continuation method for a weakly elliptic two-parameter eigenvalue problem
    • B. PLESTENJAK, A continuation method for a weakly elliptic two-parameter eigenvalue problem, IMA J. Numer. Anal., 21 (2001), pp. 199-216.
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 199-216
    • Plestenjak, B.1
  • 19
    • 0030560293 scopus 로고    scopus 로고
    • 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
  • 20
    • 0022718864 scopus 로고
    • A numerical method for the solution of two-parameter eigenvalue problems
    • T. SLIVNIK AND G. TOMŠIČ, A numerical method for the solution of two-parameter eigenvalue problems, J. Comput. Appl. Math., 15 (1986), pp. 109-115.
    • (1986) J. Comput. Appl. Math. , vol.15 , pp. 109-115
    • Slivnik, T.1    Tomšič, G.2
  • 22
    • 0000669144 scopus 로고
    • A generalized eigenvalue approach for solving Riccati equations
    • P. VAN DOOREN, A generalized eigenvalue approach for solving Riccati equations, SIAM J. Sci. Statist. Comput., 2 (1981), pp. 121-135.
    • (1981) SIAM J. Sci. Statist. Comput. , vol.2 , pp. 121-135
    • Van Dooren, P.1
  • 23
    • 0004025812 scopus 로고
    • Multiparameter Problems and Expansion Theorems
    • Springer-Verlag, New York
    • H. VOLKMER, Multiparameter Problems and Expansion Theorems, Lecture Notes in Math. 1356, Springer-Verlag, New York, 1988.
    • (1988) Lecture Notes in Math. , vol.1356
    • Volkmer, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.