Sign pattern matrices that admit \(P_{0}\)-matrices
type: Item
instance of: scholarly article
title: Sign pattern matrices that admit \(P_{0}\)-matrices
zbMATH Open document ID: 1222.15034
author: C. Mendes Araújo
author: Juan Ramón Torregrosa Sánchez
published in: Linear Algebra and its Applications
publication date: 2011-07-15T00:00:00Z
review text: A \(P_0\)-matrix is a real square matrix all of whose principal minors are nonnegative. In this paper necessary and sufficient conditions for the sign pattern of a (directed or undirected) cycle admits or requires a \(P_0\)-matrix are presented.
Mathematics Subject Classification ID: 15B35
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 5924569
zbMATH Keywords: sign pattern matrix
zbMATH Keywords: \(P_{0}\)-matrix
zbMATH Keywords: cycle
reviewed by: C. M.da Fonseca
MaRDI profile type: Publication
full work available at URL: j.laa.2011.03.066
OpenAlex ID: W1985141908
cites work: Q4326384
cites work: Characterizations of sign patterns of inverse-positive matrices
cites work: Sign patterns of inverse nonnegative matrices
cites work: Sign patterns of inverse-positive matrices
cites work: Sign pattern matrices that admit \(M\)-, \(N\)-, \(P\)- or inverse \(M\)-matrices
DOI: 10.1016/J.LAA.2011.03.066
description: scientific article; zbMATH DE number 5924569