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

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109307

Title:	Uniqueness problem on numerical ranges of 3-by-3 companion matrices
Authors:	李信儀;Lee, Hsin-Yi
Contributors:	理學院數學系
Keywords:	Companion matrix;Numerical range;Uniqueness
Date:	2015-10-01
Issue Date:	2026-04-23 16:25:27 (UTC+8)
Publisher:	Elsevier Inc.;Elsevier Inc
Abstract:	摘要： 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. 出版者： Elsevier Inc 出版日期： 2015-10-01 出處： Linear algebra and its applications, 2015-10, Vol.482, p.84-100 資源來源： Elsevier ScienceDirect Journals Complete - Autoholdings 版權： 2015 Elsevier Inc. 識別號： ISSN: 0024-3795 識別號： EISSN: 1873-1856 識別號： DOI: 10.1016/j.laa.2015.05.014
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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