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

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...

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Autores principales: Gassó,Maria T., Gil,Iván, Giménez,Isabel, Santana,Máximo, Segura,Elaine
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100255
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spelling oai:scielo:S0716-091720210001002552021-01-26Diagonal entries of the combined matrix of sign regular matrices of order threeGassó,Maria T.Gil,IvánGiménez,IsabelSantana,MáximoSegura,Elaine 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.1 20212021-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100255en10.22199/issn.0717-6279-2021-01-0016
institution Scielo Chile
collection Scielo Chile
language English
topic Sign regular matrices
Combined matrices
Hadamard product.
spellingShingle Sign regular matrices
Combined matrices
Hadamard product.
Gassó,Maria T.
Gil,Iván
Giménez,Isabel
Santana,Máximo
Segura,Elaine
Diagonal entries of the combined matrix of sign regular matrices of order three
description 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 Gassó,Maria T.
Gil,Iván
Giménez,Isabel
Santana,Máximo
Segura,Elaine
author_facet Gassó,Maria T.
Gil,Iván
Giménez,Isabel
Santana,Máximo
Segura,Elaine
author_sort Gassó,Maria T.
title Diagonal entries of the combined matrix of sign regular matrices of order three
title_short Diagonal entries of the combined matrix of sign regular matrices of order three
title_full Diagonal entries of the combined matrix of sign regular matrices of order three
title_fullStr Diagonal entries of the combined matrix of sign regular matrices of order three
title_full_unstemmed Diagonal entries of the combined matrix of sign regular matrices of order three
title_sort diagonal entries of the combined matrix of sign regular matrices of order three
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2021
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000100255
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AT gimenezisabel diagonalentriesofthecombinedmatrixofsignregularmatricesoforderthree
AT santanamaximo diagonalentriesofthecombinedmatrixofsignregularmatricesoforderthree
AT seguraelaine diagonalentriesofthecombinedmatrixofsignregularmatricesoforderthree
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