Sets of matrices with given joint numerical range

Naum Krupnik, Ilya Spitkovsky

    Research output: Contribution to journalArticle

    Abstract

    The following question is addressed: To what extent the n-tuple of m × m Hermitian matrices is determined by its joint numerical range? The cases m = 2, n arbitrary and m = n = 3 are considered in detail.

    Original languageEnglish (US)
    Pages (from-to)569-585
    Number of pages17
    JournalLinear Algebra and Its Applications
    Volume419
    Issue number2-3
    DOIs
    StatePublished - Dec 1 2006

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    n-tuple
    Numerical Range
    Hermitian matrix
    Arbitrary

    Keywords

    • Joint numerical range
    • Unitary similarity

    ASJC Scopus subject areas

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

    Cite this

    Sets of matrices with given joint numerical range. / Krupnik, Naum; Spitkovsky, Ilya.

    In: Linear Algebra and Its Applications, Vol. 419, No. 2-3, 01.12.2006, p. 569-585.

    Research output: Contribution to journalArticle

    Krupnik, Naum ; Spitkovsky, Ilya. / Sets of matrices with given joint numerical range. In: Linear Algebra and Its Applications. 2006 ; Vol. 419, No. 2-3. pp. 569-585.
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