Han-type algorithms for inconsistent systems of linear inequalities - A unified approach

被引：4
|
作者：
Popa, C. [1 ,2 ]
Serban, C. [1 ]
机构：
[1] Ovidius Univ, Constanta 900527, Romania
[2] Gheorghe Mihoc Caius Iacob Inst Stat Math & Appl, Bucharest, Romania
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 246卷
关键词：
Inconsistent linear inequalities; Han-type algorithms; Kaczmarz Extended algorithm; Unification approach; Convergence;
D O I：
10.1016/j.amc.2014.08.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a unification approach for a class of Han-type algorithms for approximating least squares solutions of inconsistent systems of linear inequalities. Regarding this aspect we establish two basic assumptions and we prove that all the Han-type algorithms fulfill them, which give us the possibility to obtain certain convergence results. Numerical experiments on two sets of linear separability problems are also presented. (C) 2014 Elsevier Inc. All rights reserved.
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页码：247 / 256
页数：10
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