Solvability and feasibility of interval linear equations and inequalities

被引：18

作者：

Li, Haohao ^{[1
]}

Luo, Jiajia ^{[2
]}

Wang, Qin ^{[3
]}

机构：

[1] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China

[2] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[3] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 463卷

关键词：

Interval linear equations; Interval linear inequalities; Solvability; Feasibility; SYSTEMS;

D O I：

10.1016/j.laa.2014.08.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers solvability and feasibility of interval linear equations and inequalities. The new concepts of solvability and feasibility are introduced in a unified framework. Some existing concepts such as weak solvability, strong solvability, weak feasibility and strong feasibility are special cases in this framework. Necessary and sufficient conditions for checking new types of solvability and feasibility are developed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：78 / 94

页数：17

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