非线性互补问题的逐次逼近类Broyden算法

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 146-153.

非线性互补问题的逐次逼近类Broyden算法

1. Department of Computational Science and Applied Physics, Guilin Institute of Electronic Technology, Guilin 541004, China; 2. Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, China

收稿日期:2001-07-30 出版日期:2003-06-30 发布日期:2024-04-15
作者简介:MA Chang-feng(1962-),male,native of Longhui,Hunan,an associate professor of Guilin Institute of Elec- tronic Technology,Ph.D.,engages in numerical method of optiminization and numerical solution to partial differential equation; LlANG Guo-ping(1938-),male,native of Fushan,Guangdong,a profesor of Chinese Academy of Science,Ph.D.,engages in finite element alalysis.

The Successive Approximation Broyden-like Algorithm for Nonlinear Complementarity Problems

1. Department of Computational Science and Applied Physics, Guilin Institute of Electronic Technology, Guilin 541004, China; 2. Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, China

Received:2001-07-30 Online:2003-06-30 Published:2024-04-15
About author:MA Chang-feng(1962-),male,native of Longhui,Hunan,an associate professor of Guilin Institute of Elec- tronic Technology,Ph.D.,engages in numerical method of optiminization and numerical solution to partial differential equation; LlANG Guo-ping(1938-),male,native of Fushan,Guangdong,a profesor of Chinese Academy of Science,Ph.D.,engages in finite element alalysis.

摘要/Abstract

摘要： In this paper,we present a new form of succesive approximation Broyden-like algorithm for nonlinear complementarity problem based on its equivalent nonsmooth equations.Under suitable condi- tions,we get the global convergence on the algorithms.Some numerical results are also reported.

关键词: nonlinear complementarity problem;successive approximation;Broyden-like algorithm;
global , convergence

Abstract: In this paper,we present a new form of succesive approximation Broyden-like algorithm for nonlinear complementarity problem based on its equivalent nonsmooth equations.Under suitable condi- tions,we get the global convergence on the algorithms.Some numerical results are also reported.

Key words: nonlinear complementarity problem;successive approximation;Broyden-like algorithm;
global , convergence

中图分类号:

O224

马昌凤, 梁国平. 非线性互补问题的逐次逼近类Broyden算法 [J]. 数学季刊, 2003, 18(2): 146-153.

MA Chang-feng, LIANG Guo-ping. The Successive Approximation Broyden-like Algorithm for Nonlinear Complementarity Problems[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 146-153.