Best Approximate Solutions of Inconsistent Linear Inequality Systems

被引：6
|
作者：
Goberna M.A. [1 ]
Hiriart-Urruty J.-B. [2 ]
López M.A. [1 ,3 ]
机构：
[1] Department of Mathematics, University of Alicante, Alicante
[2] Institute of Mathematics, Paul Sabatier University, Toulouse
[3] Federation University of Australia, Ballarat
来源：
Vietnam Journal of Mathematics | 2018年 / 46卷 / 2期
基金：
澳大利亚研究理事会;
关键词：
Best L[!sub]1[!/sub] solutions; Best least squares solutions; Best uniform solutions; Linear inequality systems;
D O I：
10.1007/s10013-018-0275-1
中图分类号：
学科分类号：
摘要：
This paper is intended to characterize three types of best approximate solutions for inconsistent linear inequality systems with an arbitrary number of constraints. It also gives conditions guaranteeing the existence of best uniform solutions and discusses potential applications. © 2018, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.
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页码：271 / 284
页数：13
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