Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic
type: Item
instance of: scholarly article
title: Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic
zbMATH Open document ID: 0853.65048
DOI: 10.1007/BF02388185
author: Sergey P. Shary
published in: Reliable Computing
publication date: 1996-12-08T00:00:00Z
review text: The author defines the algebraic solution of a system of linear interval equations \(A^I x= b^I\) as an interval vector \(x^I\) satisfying \(A^I x^I= b^I\) in the Kaucher extended interval arithmetic. A method for computing algebraic solutions is presented and some applications are discussed.
reviewed by: Jiří Rohn
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 902709
zbMATH Keywords: subdifferential
zbMATH Keywords: Newton method
zbMATH Keywords: solution set
zbMATH Keywords: algebraic solution
zbMATH Keywords: system of linear interval equations
zbMATH Keywords: Kaucher extended interval arithmetic
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 902709