Verified computations of eigenvalue exclosures for eigenvalue problems in Hilbert spaces

Yoshitaka Watanabe, Kaori Nagatou, Michael Plum, Mitsuhiro T. Nakao

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    Abstract

    This paper presents eigenvalue excluding methods for self-adjoint or non-self-adjoint eigenvalue problems in Hilbert spaces, including problems with partial differential operators. Eigenvalue exclosure means the determination of subsets of the complex field which do not contain eigenvalues of the given problem. Several verified eigenvalue excluding results for ordinary and partial differential operators are reported on.

    Original languageEnglish
    Pages (from-to)975-992
    Number of pages18
    JournalSIAM Journal on Numerical Analysis
    Volume52
    Issue number2
    DOIs
    Publication statusPublished - 2014

    All Science Journal Classification (ASJC) codes

    • Numerical Analysis
    • Computational Mathematics
    • Applied Mathematics

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