On Kippenhahn curves and higher-rank numerical ranges of some matrices

Natália Bebiano; Joáo da Providéncia; Ilya M. Spitkovsky

doi:10.1016/j.laa.2021.08.010

On Kippenhahn curves and higher-rank numerical ranges of some matrices

Natália Bebiano, Joáo da Providéncia, Ilya M. Spitkovsky

Mathematics

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

Abstract

The higher rank numerical ranges of generic matrices are described in terms of the components of their Kippenhahn curves. Cases of tridiagonal (in particular, reciprocal) 2-periodic matrices are treated in more detail.

Original language	English (US)
Pages (from-to)	246-257
Number of pages	12
Journal	Linear Algebra and Its Applications
Volume	629
DOIs	https://doi.org/10.1016/j.laa.2021.08.010
State	Published - Nov 15 2021

Keywords

Kippenhahn curve
Numerical range
Reciprocal matrices

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.2021.08.010

Cite this

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title = "On Kippenhahn curves and higher-rank numerical ranges of some matrices",

abstract = "The higher rank numerical ranges of generic matrices are described in terms of the components of their Kippenhahn curves. Cases of tridiagonal (in particular, reciprocal) 2-periodic matrices are treated in more detail.",

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AU - Bebiano, Natália

AU - da Providéncia, Joáo

AU - Spitkovsky, Ilya M.

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Y1 - 2021/11/15

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AB - The higher rank numerical ranges of generic matrices are described in terms of the components of their Kippenhahn curves. Cases of tridiagonal (in particular, reciprocal) 2-periodic matrices are treated in more detail.

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KW - Numerical range

KW - Reciprocal matrices

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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On Kippenhahn curves and higher-rank numerical ranges of some matrices

Abstract

Keywords

ASJC Scopus subject areas

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