A method for outer interval solution of linear parametric systems
type: Item
instance of: scholarly article
title: A method for outer interval solution of linear parametric systems
zbMATH Open document ID: 1055.65045
author: Lubomir Kolev
published in: Reliable Computing
publication date: 2004-08-06T00:00:00Z
review text: An iterative method for determining interval inclusions for solutions of linear systems is developed. The linear systems which are considered have in common that the coefficients of the systems depend linearly on a finite set of parameters, which are defined over compact intervals. The interval inclusions in mind are found as interval hulls of limits of polytope sequences. These polytopes are again approximations of sets that show a rather complex structure. Tolerance analysis of linear electrical circuits gives an application of the method of the paper.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 2081521
zbMATH Keywords: iterative method
zbMATH Keywords: interval inclusions
zbMATH Keywords: linear systems
zbMATH Keywords: Tolerance analysis
zbMATH Keywords: linear electrical circuits
reviewed by: H. Ratschek
MaRDI profile type: Publication
DOI: 10.1023/B:REOM.0000032110.34735.CA
description: scientific article; zbMATH DE number 2081521