## 留言板

 引用本文: 马昌凤, 梁国平, 陈新美. 求解非线性互补问题的内点正算法[J]. 应用数学和力学, 2003, 24(3): 315-322.
MA Chang-feng, LIANG Guo-ping, CHEN Xin-mei. A Positve Interior-Point Algorithm for Nonlinear Complementarity Problems[J]. Applied Mathematics and Mechanics, 2003, 24(3): 315-322.
 Citation: MA Chang-feng, LIANG Guo-ping, CHEN Xin-mei. A Positve Interior-Point Algorithm for Nonlinear Complementarity Problems[J]. Applied Mathematics and Mechanics, 2003, 24(3): 315-322.

## 求解非线性互补问题的内点正算法

###### 作者简介:马昌凤(1963- ),男,湖南隆回人,副教授,士,已发表论文18篇,研究方向为变分不等式数值解及有限元方法(E-mail:macf99-cn@yahoo.com.cn).
• 中图分类号: O224.2

## A Positve Interior-Point Algorithm for Nonlinear Complementarity Problems

• 摘要: 针对非线性互补问题,提出了与其等价的非光滑方程的内点正算法,并在一定条件下证明了该算法的收敛性定理。数值结果表明,该算法是十分有效的。
•  [1] Harker P T,Pang J S.Finite-dimensional variational inequality and nonlinear complemen tarity problems:a survey of theory,algorithms and applications[J].Math Prog,1990,48(2):161-220. [2] Harker P T,Xiao B.Newton's methods for nonlinear complementarity problem:a B-differentiable equation approach[J].Math Prog,1990,48(3):339-358. [3] Pang J S.Newton's method for B-differentiable equations[J].Math Oper Res,1990,15(2):311-341. [4] Monteriro R D C,Pang J S,Wang T.A Positive algorthm for nonlinear complementarity problem[J].SIAM J Opt,1995,5(1):129-148. [5] Pang J S.A B-differentiable equation-based,globally and locally quadratically convergent alogorithm for nonlinear problems[J].Math Prog,1991,51(1):101-131. [6] Pang J S.Gabriel S A.NE/SQP:a robust algorithm for nonlinear complementarity problems[J].Math Prog,1993,60(2):295-338. [7] Mathiesen L.An algorithm based on a sequence of linear complementarity problems applied to a Walrasian equilibrium model:an example[J].Math Prog,1987,37(1):1-18. [8] Friedlander A,Martinez J M,Stantos S A.A new strategy for solving variational inequalities in bounded polytopes[J].Numer Funct Anal and Optimiz,1995,16(5/6):653-668.
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##### 出版历程
• 收稿日期:  2001-06-05
• 修回日期:  2002-10-17
• 刊出日期:  2003-03-15

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