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

Titas Geryba; Ilya M. Spitkovsky

doi:10.1080/03081087.2020.1749225

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

Titas Geryba, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Journal	Linear and Multilinear Algebra
DOIs	https://doi.org/10.1080/03081087.2020.1749225
State	Accepted/In press - 2020

Keywords

Numerical range

ASJC Scopus subject areas

Algebra and Number Theory

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title = "On the numerical range of some block matrices with scalar diagonal blocks",

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.",

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language = "English (US)",

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AU - Spitkovsky, Ilya M.

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