Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc.

Published online July 29, 2022

Copyright © The Korean Mathematical Society.

Matrices similar to centrosymmetric matrices

Benjamín A Itzá-Ortiz and Rubén Alejandro Martínez-Avendaño

Universidad Autónoma del Estado de Hidalgo, Instituto Tecnológico Autónomo de México

Abstract

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.

Keywords: {centrosymmetric matrices, determinants, similarity, matrix equations

MSC numbers: 15B99, 15A15, 15A24

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