3 × 3 matrices with a flat portion on the boundary of the numerical range

L. Rodman; I. M. Spitkovsky

doi:10.1016/j.laa.2004.10.014

3 × 3 matrices with a flat portion on the boundary of the numerical range

L. Rodman, I. M. Spitkovsky

Mathematics

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

Abstract

The set of unitarily irreducible complex 3 × 3 matrices whose numerical range has a flat portion is explicitly described. It is proved that the set is connected, and real analytic properties of the set are studied. Connectedness of the sets of unitarily irreducible 3 × 3 matrices having two other possible shapes of their numerical ranges is proved as well.

Original language	English (US)
Pages (from-to)	193-207
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	397
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2004.10.014
State	Published - Mar 1 2005

Keywords

3 × 3 matrices
Flat portion
Numerical range

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.2004.10.014

Cite this

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3 × 3 matrices with a flat portion on the boundary of the numerical range

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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