메뉴 건너뛰기




Volumn 159, Issue 1, 2003, Pages 119-128

A projection method for generalized eigenvalue problems using numerical integration

Author keywords

Generalized eigenvalue problem; Large scale problem; Quadrature method; Spectral projection

Indexed keywords

INTEGRATION; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0141558989     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00565-X     Document Type: Article
Times cited : (310)

References (23)
  • 3
    • 84968518922 scopus 로고
    • A numerical method for locating the zeros of an analytic functions
    • Delves L.M. Lyness J.N. A numerical method for locating the zeros of an analytic functions Math. Comput. 21 1967 543-560
    • (1967) Math. Comput. , vol.21 , pp. 543-560
    • Delves, L.M.1    Lyness, J.N.2
  • 9
    • 0004236492 scopus 로고    scopus 로고
    • Baltimore: The Johns Hopkins University Press 3rd Edition
    • Golub G.H. Van Loan C.F. Matrix Computations 3rd Edition 1996 The Johns Hopkins University Press Baltimore
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 10
    • 84962339816 scopus 로고    scopus 로고
    • Meso-scale fusion: A method for molecular electronic state calculation in inhomogeneous materials
    • T. Mitsui (Ed.), Mikkabi, 2001, Special issue of J. Comput. Appl. Math
    • S. Hyodo, Meso-scale fusion: A method for molecular electronic state calculation in inhomogeneous materials, in: T. Mitsui (Ed.), Proceedings of the 21st Century, Mikkabi, 2001, Special issue of J. Comput. Appl. Math. 149 (2002) 101-118.
    • (2002) Proceedings of the 21st Century , vol.149 , pp. 101-118
    • S.Hyodo1
  • 11
    • 0001797797 scopus 로고
    • Quadrature methods for the determination of zeros of transcendental functions-a review
    • P. Keast, & G. Fairweather (Eds.), Dordrecht: Reidel
    • Ioakimidis N.I. Quadrature methods for the determination of zeros of transcendental functions-a review Keast P. Fairweather G. Numerical Integration: Recent Developments, Software and Applications 1987 61-82 Reidel Dordrecht
    • (1987) Numerical Integration: Recent Developments, Software and Applications , pp. 61-82
    • Ioakimidis, N.I.1
  • 13
    • 0041822771 scopus 로고    scopus 로고
    • On locating clusters of zeros of analytic functions
    • Kravanja P. Sakurai T. Van Barel M. On locating clusters of zeros of analytic functions BIT 39 1999 646-682
    • (1999) BIT , vol.39 , pp. 646-682
    • Kravanja, P.1    Sakurai, T.2    Van Barel, M.3
  • 14
    • 0003304196 scopus 로고    scopus 로고
    • Computing the Zeros of Analytic Functions
    • Berlin: Springer
    • Kravanja P. Van Barel M. Computing the Zeros of Analytic Functions Lecture Notes in Mathematics Vol. 1727 2000 Springer Berlin
    • (2000) Lecture Notes in Mathematics , vol.1727
    • Kravanja, P.1    Van Barel, M.2
  • 15
    • 72449139170 scopus 로고
    • Computational variants of the Lanczos method for the eigenproblems
    • Paige C.C. Computational variants of the Lanczos method for the eigenproblems J. Inst. Math. Appl. 10 1972 373-381
    • (1972) J. Inst. Math. Appl. , vol.10 , pp. 373-381
    • Paige, C.C.1
  • 18
    • 0001422598 scopus 로고
    • Rational Krylov sequence methods for eigenvalue computation
    • Ruhe A. Rational Krylov sequence methods for eigenvalue computation Linear Algebra Appl. 58 1984 391-405
    • (1984) Linear Algebra Appl. , vol.58 , pp. 391-405
    • Ruhe, A.1
  • 19
    • 0037335916 scopus 로고    scopus 로고
    • An error analysis of two related quadrature methods for computing zeros of analytic functions
    • Sakurai T. Kravanja P. Sugiura H. Van Barel M. An error analysis of two related quadrature methods for computing zeros of analytic functions J. Comput. Appl. Math. 152 2003 467-480
    • (2003) J. Comput. Appl. Math. , vol.152 , pp. 467-480
    • Sakurai, T.1    Kravanja, P.2    Sugiura, H.3    Van Barel, M.4
  • 20
    • 0032669239 scopus 로고    scopus 로고
    • Using implicitly filtered RKS for generalized eigenvalue problems
    • De Samblanx G. Bultheel A. Using implicitly filtered RKS for generalized eigenvalue problems J. Comput. Appl. Math. 107 1999 195-218
    • (1999) J. Comput. Appl. Math. , vol.107 , pp. 195-218
    • De Samblanx, G.1    Bultheel, A.2
  • 21
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson iteration method for linear eigenvalue problem
    • Sleipen G.L.G. van der Vorst H.A. A Jacobi-Davidson iteration method for linear eigenvalue problem SIAM J. Matrix Anal. Appl. 17 1996 401-425
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 401-425
    • Sleipen, G.L.G.1    van der Vorst, H.A.2
  • 22
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H.A. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Statist. Comput. 13 1992 631-644
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631-644
    • van der Vorst, H.A.1
  • 23
    • 0025401744 scopus 로고
    • A Petrov-Galerkin type method for solving Ax=b, where A is a symmetric complex matrix
    • van der Vorst H.A. Melissen J.B.M. A Petrov-Galerkin type method for solving Ax=b, where A is a symmetric complex matrix IEEE Trans. Magnetics 26 2 1990 706-708
    • (1990) IEEE Trans. Magnetics , vol.26 , Issue.2 , pp. 706-708
    • van der Vorst, H.A.1    Melissen, J.B.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.