Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MATRICES SIMILAR TO CENTROSYMMETRIC MATRICES

  • Itza-Ortiz, Benjamin A. (Centro de Investigacion en Matematicas Universidad Autonoma del Estado de Hidalgo) ;
  • Martinez-Avendano, Ruben A. (Departamento Academico de Matematicas Instituto Tecnologico Autonomo de Mexico)
  • Received : 2022.03.06
  • Accepted : 2022.05.13
  • Published : 2022.09.01
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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 × 4 and 6 × 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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References

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