• 论文 •

### 求解非线性P0互补问题的非单调磨光算法

1. 中南大学数学与统计学院, 长沙 410083
• 收稿日期:2013-01-13 出版日期:2014-02-15 发布日期:2014-02-12
• 通讯作者: 万中
• 基金资助:

国家自然科学基金资助（基金号：71221061，71071162）项目；湖南省自然科学基金（基金号：13JJ3002）项目.

Yuan Min, Wan Zhong. NON-MONOTONE SMOOTHING ALGORITHM FOR SOLVING NONLINEAR P0 COMPLEMENTARITY PROBLEMS[J]. Mathematica Numerica Sinica, 2014, 36(1): 35-50.

### NON-MONOTONE SMOOTHING ALGORITHM FOR SOLVING NONLINEAR P0 COMPLEMENTARITY PROBLEMS

Yuan Min, Wan Zhong

1. School of Mathematics and Statistics, Central South University, Changsha 410083, China
• Received:2013-01-13 Online:2014-02-15 Published:2014-02-12

In this paper, a new smoothing function is constructed, and on the basis of its properties, the existence and the continuity of smoothing path are investigated when this smoothing function is employed to solve a nonlinear P0 complementarity problem. Then, a non-monotone smoothing algorithm is developed to solve the nonlinear P0 complementarity problems. Under suitable assumptions, both global convergence and super-linear convergence are established for the developed algorithm. Numerical experiments show that the algorithm is efficient.

MR(2010)主题分类:

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