On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday

Ruey Ting Chien, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    Abstract

    For certain tridiagonal matrices of small size, we give a complete description of flat portions on the boundary of their numerical range. We also discuss the conditions for these numerical ranges to be elliptical.

    Original languageEnglish (US)
    Pages (from-to)228-240
    Number of pages13
    JournalLinear Algebra and Its Applications
    Volume470
    DOIs
    StatePublished - Apr 1 2015

    Fingerprint

    Numerical Range
    Tridiagonal matrix

    Keywords

    • Numerical range
    • Tridiagonal matrices

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Numerical Analysis
    • Geometry and Topology
    • Discrete Mathematics and Combinatorics

    Cite this

    On the numerical ranges of some tridiagonal matrices to Professor Leiba Rodman on the occasion of his 65th birthday. / Chien, Ruey Ting; Spitkovsky, Ilya.

    In: Linear Algebra and Its Applications, Vol. 470, 01.04.2015, p. 228-240.

    Research output: Contribution to journalArticle

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