Regularity of interval matrices and theorems of the alternatives
type: Item
instance of: scholarly article
title: Regularity of interval matrices and theorems of the alternatives
zbMATH Open document ID: 1090.15004
published in: Reliable Computing
publication date: 2006-01-23T00:00:00Z
review text: Given an interval matrix \({\mathbf A}\) the author presents necessary and sufficient conditions for all \(A\in{\mathbf A}\) to be regular. Some of these criteria are used to prove results on the alternatives for inequalities involving absolute values.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 5000120
zbMATH Keywords: interval matrices
zbMATH Keywords: regularity
zbMATH Keywords: theorems of the alternatives
zbMATH Keywords: regularity conditions
author: Jiří Rohn
reviewed by: Günter Mayer
MaRDI profile type: Publication
full work available at URL: s11155-006-4877-z
OpenAlex ID: W2074777202
cites work: Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
cites work: Checking robust nonsingularity is NP-hard
cites work: A theorem of the alternatives for the equationAx+B|x| =b
cites work: An existence theorem for systems of linear equations
cites work: Q3486361
cites work: Systems of linear interval equations
DOI: 10.1007/S11155-006-4877-Z
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description: scientific article; zbMATH DE number 5000120