Uniqueness problem on numerical ranges of 3-by-3 companion matrices

Hsin Yi Lee

doi:10.1016/j.laa.2015.05.014

Uniqueness problem on numerical ranges of 3-by-3 companion matrices

Hsin Yi Lee

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

Abstract For any two 3-by-3 companion matrices A and B with identical numerical ranges, we give a necessary and sufficient condition for A=B in terms of the shapes of numerical ranges and the locations of eigenvalues. In addition, all distinct 3-by-3 companion matrices with identical numerical ranges can be obtained precisely.

原文	???core.languages.en_GB???
文章編號	13216
頁（從 - 到）	84-100
頁數	17
期刊	Linear Algebra and Its Applications
卷	482
DOIs	https://doi.org/10.1016/j.laa.2015.05.014
出版狀態	已出版 - 1 10月 2015

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10.1016/j.laa.2015.05.014

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AB - Abstract For any two 3-by-3 companion matrices A and B with identical numerical ranges, we give a necessary and sufficient condition for A=B in terms of the shapes of numerical ranges and the locations of eigenvalues. In addition, all distinct 3-by-3 companion matrices with identical numerical ranges can be obtained precisely.

KW - Companion matrix

KW - Numerical range

KW - Uniqueness

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M3 - 期刊論文

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

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Uniqueness problem on numerical ranges of 3-by-3 companion matrices

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