Elliptical higher rank numerical range of some Toeplitz matrices

Maria Adam; Aikaterini Aretaki; Ilya M. Spitkovsky

doi:10.1016/j.laa.2018.03.024

Elliptical higher rank numerical range of some Toeplitz matrices

Maria Adam, Aikaterini Aretaki, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions are established under which tridiagonal matrices have elliptical rank-k numerical ranges.

Original language	English (US)
Pages (from-to)	256-275
Number of pages	20
Journal	Linear Algebra and Its Applications
Volume	549
DOIs	https://doi.org/10.1016/j.laa.2018.03.024
State	Published - Jul 15 2018

Keywords

Numerical range
Rank-k numerical range
Tridiagonal Toeplitz matrix

ASJC Scopus subject areas

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

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10.1016/j.laa.2018.03.024

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Elliptical higher rank numerical range of some Toeplitz matrices

Abstract

Keywords

ASJC Scopus subject areas

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