FR type methods for systems of large-scale nonlinear monotone equations

被引：34
|
作者：
Papp, Zoltan [1 ]
Rapajic, Sanja [1 ]
机构：
[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 269卷
关键词：
Nonlinear monotone systems; Hyperplane projection method; Derivative-free line search; Conjugate gradient directions; CONJUGATE-GRADIENT METHODS; BFGS METHOD; CONVERGENCE; BARZILAI;
D O I：
10.1016/j.amc.2015.08.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A large class of iterative methods for solving nonlinear monotone systems is developed in recent years. In this paper we propose some new FR type directions in the frame of algorithm which is a combination of conjugate gradient approach and hyperplane projection technique. Derivative-free, function-value-based line search combined with projection procedure is used for globalization strategy. Numerical performances of methods with different search directions are compared. (C) 2015 Elsevier Inc. All rights reserved.
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页码：816 / 823
页数：8
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