Diagonal entries of the combined matrix of sign regular matrices of order three

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2021-01-0016

Keywords:

Sign regular matrices, Combined matrices , Hadamard product

Abstract

The study of the diagonal entries of the combined matrix of a nonsingular matrix A has been considered by different authors for the classes of M—matrices, positive definite matrices and totally positive (negative) matrices. This problem appears to be difficult as the results have been done only for matrices of order three. In this work, we continue to give the characterization of the diagonal entries of the combined matrix of the remainder sign regular matrices. Thus, the problem is closed for all possible sign regular matrices of order three.

Author Biographies

Maria T. Gassó, Universitat Polit`ecnica de Val`encia.

Institut de Matemàtica Multidisciplinar.

Isabel Giménez, Universitat Politècnica de València.

Institut de Matemàtica Multidisciplinar.

References

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Published

2021-01-16

How to Cite

[1]
M. T. . Gassó, I. Gil, I. Giménez, M. Santana, and E. Segura, “Diagonal entries of the combined matrix of sign regular matrices of order three”, Proyecciones (Antofagasta, On line), vol. 40, no. 1, pp. 255-271, Jan. 2021.

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