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.

引用

页码：816 / 823

页数：8

共 50 条

[31] A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration
Yin, Jianghua
Jian, Jinbao
Jiang, Xianzhen
Wu, Xiaodi
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 419
[32] Stabilized BB projection algorithm for large-scale convex constrained nonlinear monotone equations to signal and image processing problems
Rao, Jiayun
Yu, Chaozhi
Huang, Na
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 448
[33] An efficient projection-based algorithm without Lipschitz continuity for large-scale nonlinear pseudo-monotone equations
Liu, J. K.
Lu, Z. L.
Xu, J. L.
Wu, S.
Tu, Z. W.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 403
[34] ADAPTIVE NONMONOTONE SPECTRAL RESIDUAL METHOD FOR LARGE-SCALE NONLINEAR SYSTEMS
Cheng, Minghou
Dai, Yu-Hong
PACIFIC JOURNAL OF OPTIMIZATION, 2012, 8 (01): : 15 - 25
[35] Optimal Control Approach for a Class of Nonlinear Large-Scale Systems
Gao Dexin
Zhang Wenwu
PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 712 - +
[36] On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations
Rabelo, J. C.
Saporito, Y. F.
Leitao, A.
INVERSE PROBLEMS, 2022, 38 (02)
[37] A derivative-free PRP method for solving large-scale nonlinear systems of equations and its global convergence
Li, Min
OPTIMIZATION METHODS & SOFTWARE, 2014, 29 (03) : 503 - 514
[38] A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations
Dai, Zhifeng
Chen, Xiaohong
Wen, Fenghua
APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 378 - 386
[39] A Polak-Ribiere-Polyak method for solving large-scale nonlinear systems of equations and its global convergence
Li, Min
APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 314 - 322
[40] A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations
Yuan, Gonglin
Hu, Wujie
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

← 1 2 3 4 5 →