Elliptical higher rank numerical range of some Toeplitz matrices

Maria Adam, Aikaterini Aretaki, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)256-275
Number of pages20
JournalLinear Algebra and Its Applications
Volume549
DOIs
StatePublished - 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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