一个求解非线性对称方程组的非单调信赖域方法

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 574-584.

一个求解非线性对称方程组的非单调信赖域方法

1. College of Mathematics and Information Science, Guangxi University2. School of Science, East China University of Science and Technology

收稿日期:2006-03-26 出版日期:2009-12-30 发布日期:2023-06-19
作者简介:YUAN Gong-lin(1976-), male, native of Shangqiu, Henan, a lecturer of Guangxi University, Ph.D., engages in optimization theory.
基金资助:
Supported by SF of Guangxi University(X061041)； Supported by NSF of China(10761001)；

A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations

1. College of Mathematics and Information Science, Guangxi University2. School of Science, East China University of Science and Technology

Received:2006-03-26 Online:2009-12-30 Published:2023-06-19
About author:YUAN Gong-lin(1976-), male, native of Shangqiu, Henan, a lecturer of Guangxi University, Ph.D., engages in optimization theory.
Supported by:
Supported by SF of Guangxi University(X061041)； Supported by NSF of China(10761001)；

摘要/Abstract

摘要： A trust region method combining with nonmonotone technique is proposed for solving symmetric nonlinear equations. The global convergence of the given method will be established under suitable conditions. Numerical results show that the method is interesting for the given problems.

关键词: trust region method, nonlinear equations, nonmonotone technique

Abstract: A trust region method combining with nonmonotone technique is proposed for solving symmetric nonlinear equations. The global convergence of the given method will be established under suitable conditions. Numerical results show that the method is interesting for the given problems.

Key words: trust region method, nonlinear equations, nonmonotone technique

中图分类号:

O175.29

袁功林, 韦增欣, 鲁习文. 一个求解非线性对称方程组的非单调信赖域方法[J]. 数学季刊, 2009, 24(4): 574-584.

YUAN Gong-lin, WEI Zeng-cin , LU Xi-wen. A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 574-584.

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