A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations-Reference-Cited by-同舟云学术

A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations

Published:2020-10-28 Issue: Volume:2020 Page:1-10
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Su Zhenhua¹^ORCID,Li Min²

Affiliation:

1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China

2. Department of Mathematics and Applied Mathematics, Huaihua University, Huaihua 418000, China

Abstract

In this paper, a descent Liu–Storey conjugate gradient method is extended to solve large-scale nonlinear systems of equations. Based on certain assumptions, the global convergence property is obtained with a nonmonotone line search. The proposed method is suitable to solve large-scale problems for the low-storage requirement. Numerical experiment results show that the new method is practically effective.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/6854501.pdf

Reference39 articles.

1. A Globally Convergent Newton-GMRES Subspace Method for Systems of Nonlinear Equations

2. Convergence Theory of Nonlinear Newton–Krylov Algorithms

3. A nonmonotone hybrid method for nonlinear systems∗

4. A derivative-free line search and global convergence of Broyden-like method for nonlinear equations

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