Inner estimation of the united solution set of interval linear algebraic system
type: Item
instance of: scholarly article
title: Inner estimation of the united solution set of interval linear algebraic system
zbMATH Open document ID: 0844.65037
DOI: 10.1007/BF02390519
author: Ludmila Kupriyanova
published in: Reliable Computing
publication date: 1996-08-29T00:00:00Z
review text: The author studies inner inclusions having certain extremal properties of the solution set of linear algebraic systems involving interval coefficients. The method uses extended interval arithmetic (in the sense of E. Kaucher and E. Gardenes) and involves the interval algebraic solutions of a corresponding interval system with a ``dual'' interval matrix, that is a matrix whose interval entries have reverse components. An iterative method for finding interval algebraic solutions is also discussed.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 803785
zbMATH Keywords: inner inclusions
zbMATH Keywords: extended interval arithmetic
zbMATH Keywords: interval system
zbMATH Keywords: interval matrix
zbMATH Keywords: iterative method
reviewed by: Svetoslav Markov
MaRDI profile type: Publication
cites work: Fundamentals of SIGLA, an interval computing system over the completed set of intervals
cites work: Q4865666
cites work: Q4849581
cites work: Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic
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description: scientific article; zbMATH DE number 803785