On Newton-type approach for piecewise linear systems

被引：7
|
作者：
Chen, Jinhai [1 ]
Agarwal, Ravi P. [2 ]
机构：
[1] Univ Colorado, Dept Math & Stat Sci, Denver, CO 80217 USA
[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 07期
关键词：
Nonnegative matrix; Monotone matrix; Piecewise linear systems; Newton-type methods; Finite iteration; ITERATIVE SOLUTION;
D O I：
10.1016/j.laa.2010.06.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate effective Newton-type methods for solving piecewise linear systems. We prove that under certain relaxed conditions the proposed Newton-type methods converge monotonically and have a finite termination property Moreover, we give some conclusions on the existence of solution for the piecewise linear systems. (C) 2010 Elsevier Inc All rights reserved.
引用
收藏
页码：1463 / 1471
页数：9
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