Matrices similar to centrosymmetric matrices

In this paper we give conditions on a matrix which guarantee that it is similar to a centrosymmetric matrix. We use this conditions to show that some $4 \times 4$ and $6 \times 6$ Toeplitz matrices are similar to centrosymmetric matrices. Furthermore, we give conditions for a matrix to be similar to...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society pp. 997 - 1013
Main Authors Benjamin A. Itza-Ortiz, Ruben A. Martinez-Avendano
Format Journal Article
LanguageEnglish
Published 대한수학회 01.09.2022
Subjects
수학
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Summary:In this paper we give conditions on a matrix which guarantee that it is similar to a centrosymmetric matrix. We use this conditions to show that some $4 \times 4$ and $6 \times 6$ Toeplitz matrices are similar to centrosymmetric matrices. Furthermore, we give conditions for a matrix to be similar to a matrix which has a centrosymmetric principal submatrix, and conditions under which a matrix can be dilated to a matrix similar to a centrosymmetric matrix. KCI Citation Count: 0
Bibliography:https://jkms.kms.or.kr/journal/view.html?doi=10.4134/JKMS.j220108
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j220108