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arXiv · 2210.04594

Matrices similar to centrosymmetric matrices

Benjamín A. Itzá-Ortiz·Rubén A. Martínez-Avendaño
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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.

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Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño. 2022-09-07. Matrices similar to centrosymmetric matrices. https://doi.org/10.4134/jkms.j220108

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