Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem

M.E. Hochstenbach, Bor Plestenjak

    Research output: Contribution to journalArticleAcademicpeer-review

    16 Citations (Scopus)

    Abstract

    We define and evaluate the normwise backward error and condition numbers for the multiparameter eigenvalue problem (MEP). The pseudospectrum for the MEP is defined and characterized. We show that the distance from a right definite MEP to the closest non right definite MEP is related to the smallest unbounded pseudospectrum. Some numerical results are given.
    Original languageEnglish
    Pages (from-to)63-81
    JournalLinear Algebra and Its Applications
    Volume375
    DOIs
    Publication statusPublished - 2003

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