On the numerical range of some block matrices with scalar diagonal blocks

Titas Geryba, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-review

Abstract

Several new verifiable conditions are established for matrices of the form (Formula presented.) to have the numerical range equal the convex hull of at most k ellipses. For k = 2, these conditions are also necessary, provided that the ellipses are co-centred.

Original languageEnglish (US)
Pages (from-to)772-785
Number of pages14
JournalLinear and Multilinear Algebra
Volume69
Issue number5
DOIs
StatePublished - 2021

Keywords

  • Numerical range

ASJC Scopus subject areas

  • Algebra and Number Theory

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