Elliptical higher rank numerical range of some Toeplitz matrices

Maria Adam, Aikaterini Aretaki, Ilya Spitkovsky

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)256-275
Number of pages20
JournalLinear Algebra and Its Applications
Volume549
DOIs
StatePublished - Jul 15 2018

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Numerical Range
Toeplitz matrix
Tridiagonal matrix
Direct Sum
Class

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

Cite this

Elliptical higher rank numerical range of some Toeplitz matrices. / Adam, Maria; Aretaki, Aikaterini; Spitkovsky, Ilya.

In: Linear Algebra and Its Applications, Vol. 549, 15.07.2018, p. 256-275.

Research output: Contribution to journalArticle

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