On Maximal Inner Estimation of the Solution Sets of Linear Systems with Interval Parameters

On Maximal Inner Estimation of the Solution Sets of Linear Systems with Interval Parameters The purpose of this paper is to inquire the connection between maximal inner interval estimates of the solution sets to interval linear system and solutions of the dualization equation in Kaucher interval arithmetic. The results of our work are as follows: 1) a criterion of inner interval estimate of the solution set, 2) a criterion for a solution of dualization equation to be a maximal inner interval estimate of the solution set, 3) a criterion for multiplication by an interval matrix to be upper strictly isotone. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

On Maximal Inner Estimation of the Solution Sets of Linear Systems with Interval Parameters

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2001 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1011428127620
Publisher site
See Article on Publisher Site

Abstract

The purpose of this paper is to inquire the connection between maximal inner interval estimates of the solution sets to interval linear system and solutions of the dualization equation in Kaucher interval arithmetic. The results of our work are as follows: 1) a criterion of inner interval estimate of the solution set, 2) a criterion for a solution of dualization equation to be a maximal inner interval estimate of the solution set, 3) a criterion for multiplication by an interval matrix to be upper strictly isotone.

Journal

Reliable ComputingSpringer Journals

Published: Oct 3, 2004

References

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