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Volumn 309, Issue 1-3, 2000, Pages 73-83

Accuracy assessment for eigencomputations: Variety of backward errors and pseudospectra

Author keywords

Backward error; Eigencomputations; Homotopic perturbation; Normwise perturbation; Pseudospectrum; Stability analysis

Indexed keywords


EID: 0034380196     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(99)00144-5     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 0007994013 scopus 로고    scopus 로고
    • Using the field of values for pseudospectra generation
    • CERFACS, Toulouse, France
    • T. Braconnier, A. McCoy, V. Toumazou, Using the field of values for pseudospectra generation, Tech. Rep. TR/PA/97/28, CERFACS, Toulouse, France, 1997.
    • (1997) Tech. Rep. TR/PA/97/28
    • Braconnier, T.1    McCoy, A.2    Toumazou, V.3
  • 5
    • 0004156107 scopus 로고
    • Wiley, Chichester, (Enlarged Translation of the French Edition with Masson)
    • F. Chatelin, Eigenvalues of Matrices, Wiley, Chichester, 1993 (Enlarged Translation of the French Edition with Masson).
    • (1993) Eigenvalues of Matrices
    • Chatelin, F.1
  • 6
    • 0032385044 scopus 로고    scopus 로고
    • A note on the normwise perturbation theory for the regular generalized eigenproblem Ax=λBx
    • Frayssé V., Toumazou V. A note on the normwise perturbation theory for the regular generalized eigenproblem. Ax=λBx J. Numer. Linear Algebra Appl. 5(1):1998;1-10.
    • (1998) J. Numer. Linear Algebra Appl. , vol.5 , Issue.1 , pp. 1-10
    • Frayssé, V.1    Toumazou, V.2
  • 7
  • 9
    • 0347185795 scopus 로고    scopus 로고
    • Non-linear spectral perturbation: A qualitative analysis
    • IAN-CNR
    • V. Simoncini, Non-linear spectral perturbation: a qualitative analysis, Tech. Rep. 1032/1997, IAN-CNR, 1997.
    • (1997) Tech. Rep. 1032/1997
    • Simoncini, V.1
  • 10
    • 21844522403 scopus 로고
    • Pseudozeros of polynomials and pseudospectra of companion matrices
    • Toh K.C., Trefethen L.N. Pseudozeros of polynomials and pseudospectra of companion matrices. Numer. Math. 68:1994;403-425.
    • (1994) Numer. Math. , vol.68 , pp. 403-425
    • Toh, K.C.1    Trefethen, L.N.2
  • 11
    • 0001953835 scopus 로고    scopus 로고
    • Computation of pseudospectra by the Arnoldi iteration
    • Toh K.C., Trefethen L.N. Computation of pseudospectra by the Arnoldi iteration. SIAM J. Sci. Comp. 17:1996;1-15.
    • (1996) SIAM J. Sci. Comp. , vol.17 , pp. 1-15
    • Toh, K.C.1    Trefethen, L.N.2
  • 13
    • 0345924585 scopus 로고    scopus 로고
    • Homotopic perturbations for the generalized eigenvalue problem
    • CERFACS
    • V. Toumazou, E. Traviesas, Homotopic perturbations for the generalized eigenvalue problem, Tech. Rep. TR/PA/99/14, CERFACS, 1999.
    • (1999) Tech. Rep. TR/PA/99/14
    • Toumazou, V.1    Traviesas, E.2
  • 15
    • 0000992781 scopus 로고
    • Pseudospectra of matrices
    • in: D.F. Griffiths, G.A. Watson (Eds.), Longman, Harlow
    • L.N. Trefethen, Pseudospectra of matrices, in: D.F. Griffiths, G.A. Watson (Eds.), Numerical Analysis 1991, Longman, Harlow, 1992.
    • (1992) Numerical Analysis 1991
    • Trefethen, L.N.1
  • 16
    • 85011519633 scopus 로고    scopus 로고
    • Computation of Pseudospectra
    • to appear
    • L.N. Trefethen, Computation of Pseudospectra, Acta Numerica, 1999, to appear.
    • (1999) Acta Numerica
    • Trefethen, L.N.1
  • 17
    • 0347815950 scopus 로고
    • Domain of uncertainty for perturbed operator equations
    • van der Sluis A. Domain of uncertainty for perturbed operator equations. Comp. 5:1970;312-323.
    • (1970) Comp , vol.5 , pp. 312-323
    • Van Der Sluis, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.