A new approach to obtain algebraic solution of interval linear systems

被引：24

作者：

Allahviranloo, T. ^{[1
]}

Ghanbari, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

来源：

SOFT COMPUTING | 2012年 / 16卷 / 01期

关键词：

Interval linear system; Inclusion linear system; Interval number vector; Algebraic solution; Solution set; Fuzzy number; SOLVING INTERVAL; ZEROS;

D O I：

10.1007/s00500-011-0739-7

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, an algebraic solution of interval linear system involving a real square matrix and an interval right-hand side vector is obtained. A new approach to solve such systems based on the new concept "inclusion linear system" is proposed. Moreover, new necessary and sufficient conditions are derived for obtaining the unique algebraic solution. Furthermore, based on our method, an algorithm is proposed and numerically demonstrated. Finally, we compare the result obtained by our method with that obtained by interval Gauss elimination procedure.

引用

页码：121 / 133

页数：13

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