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Volumn 2, Issue 3, 1995, Pages 205-217

Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic

Author keywords

decompostion method; eigenpairs; Lanczos method; matrix functions; spectral Lanczos

Indexed keywords


EID: 84985376656     PISSN: 10705325     EISSN: 10991506     Source Type: Journal    
DOI: 10.1002/nla.1680020303     Document Type: Article
Times cited : (91)

References (28)
  • 2
    • 84985368734 scopus 로고    scopus 로고
    • Using operational series in orthogonal polynomials for computation of functions of self‐adjoint operators and background of Lanczos phenomenon. Dep. at VINITI 02.03. 1987, No. 1535 – B87. (Russian.)
    • Druskin, V.L.1    Knizhnerman, L.A.2
  • 7
    • 84985362516 scopus 로고
    • Evaluation for Krylov subspace approximation to internal eigenvalues of large symmetric matrices and bounded self‐adjoint operators with continous spectrum. Schlumberger‐Doll Research, research note, 2 September
    • (1992)
    • Druskin, V.1    Knizhnerman, L.2
  • 13
    • 84985310864 scopus 로고
    • Using the Chebyshev parameters for the numerical solution of some evolutionary problems. Inst. Appl. Math. Acad. Sci. USSR, Moscow, preprint No. 99,. (Russian.)
    • (1984)
    • Lokutsievskiy, V.O.1    Lokutsievskiy, O.V.2
  • 17
    • 84985308458 scopus 로고
    • The computation of eigenvalues and eigenvectors of very large sparse matrices. Ph.D. thesis, University of London
    • (1971)
    • Paige, C.C.1
  • 25
    • 84985391213 scopus 로고
    • The Lanczos algorithm for solving linear systems. Ph.D. thesis, University of California
    • (1982)
    • Simon, H.D.1
  • 27
    • 84985310923 scopus 로고
    • The roundoff error analysis and stability in Lanczos‐like methods. Dep. Comput. Math. Acad. Sci. USSR, Moscow, preprint No. 87,. (Russian.)
    • (1985)
    • Sobyanin, A.V.1
  • 28
    • 0001646445 scopus 로고
    • An iterative solution method for solving f (A)x = b using Krylov subspace information obtained for the symmetric positive definite matrix
    • (1987) A. J. Comput. Appl. Math. , vol.18 , Issue.2 , pp. 249
    • van der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.