On a nonnegative solution of a system of equations with a nonstrictly Jacobian matrix
type: Item
instance of: scholarly article
title: On a nonnegative solution of a system of equations with a nonstrictly Jacobian matrix
zbMATH Open document ID: 0882.15002
DOI: 10.1007/BF02106738
published in: Siberian Mathematical Journal
publication date: 1997-07-24T00:00:00Z
review text: The author considers a system of linear equations \(Ax=d\) with a regular tridiagonal matrix \(A\) whose entries satisfy certain nonnegativity conditions. Moreover, \(d\geq 0\). The idea of the article consists in finding a regular matrix \(G\) such that \(GA\) is monotone, i.e., \((GA)x\geq 0\) implies \(x\geq 0\). Then \(Gd\geq 0\) is a sufficient condition for the existence of a nonnegative solution of the system.
Mathematics Subject Classification ID: 15A06
zbMATH DE Number: 1023887
zbMATH Keywords: system of linear equations
zbMATH Keywords: regular tridiagonal matrix
zbMATH Keywords: nonnegative solution
author: Ju. S. Zav'jalov
reviewed by: Hans Havlicek
MaRDI profile type: Publication
cites work: Q3323137
cites work: Q3687592
cites work: Q3742049
description: scientific article; zbMATH DE number 1023887