• 论文 •

### 求解非线性互补问题的一类光滑Broyden-like方法

1. 1. 福建师范大学数学与计算机科学学院, 福州 350007;
2. 福建江夏学院信息系, 福州 350108
• 收稿日期:2012-09-06 出版日期:2013-05-15 发布日期:2013-05-13
• 通讯作者: 马昌凤
• 基金资助:

国家自然科学基金(11071041, 11201074)项目; 福建省自然科学基金(2013J01003)项目.

Fan Bin, Ma Changfeng, Xie Yajun. A NONMONOTONE BROYDEN-LIKE METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS[J]. Mathematica Numerica Sinica, 2013, 35(2): 181-194.

### A NONMONOTONE BROYDEN-LIKE METHOD FOR NONLINEAR COMPLEMENTARITY PROBLEMS

Fan Bin1, Ma Changfeng1, Xie Yajun2

1. 1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China;
2. Department of Information, Fujian jiangxia University, Fuzhou 350108, China)
• Received:2012-09-06 Online:2013-05-15 Published:2013-05-13

The nonlinear complementarity problems can reformulated as a smoothing system of equations. By using a new nonmonotone line search, a new nonmonotone smoothing Broydenlike algorithm is presented for solving nonlinear complementarity problems. The global and local superlinear convergence of the proposed algorithm are proved under suitable conditions. Some numerical examples are given to illustrate the performance and efficiency of the presented algorithm.

MR(2010)主题分类:

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