On the solution sets of particular classes of linear interval systems
type: Item
instance of: scholarly article
title: On the solution sets of particular classes of linear interval systems
zbMATH Open document ID: 1019.65023
DOI: 10.1016/S0377-0427(02)00693-3
author: Gotz Alefeld
author: Vladik Kreinovich
author: Günter Mayer
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-19T00:00:00Z
review text: The solution set of a quadratic system of linear equations is characterized by a set of inequalities if bounds on the right hand side, as well as bounds on the coefficient matrix are known. Restricting the coefficient matrix to particular cases, namely symmetric, skew-symmetric, persymmetric, Toeplitz and Hankel matrices, respectively, the authors generalise several results documented in the literature.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 1912255
zbMATH Keywords: system of linear equations
zbMATH Keywords: interval arithmetic
zbMATH Keywords: bounds on the coefficient matrix
zbMATH Keywords: solution sets
zbMATH Keywords: linear interval systems
zbMATH Keywords: symmetric matrix
zbMATH Keywords: skew-symmetric matrix
zbMATH Keywords: persymmetric matrix
zbMATH Keywords: Toeplitz matrix
zbMATH Keywords: bounds on the right hand side
zbMATH Keywords: Hankel matrices
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1912255