A New Smoothing Conjugate Gradient Method for Solving Nonlinear Nonsmooth Complementarity Problems

被引：7
|
作者：
Chu, Ajie [1 ]
Du, Shouqiang [1 ]
Su, Yixiao [1 ]
机构：
[1] Qingdao Univ, Coll Math, 308 Qingdao Ningxia Rd, Qingdao 266071, Peoples R China
来源：
ALGORITHMS | 2015年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
smoothing Fischer-Burmeister function; conjugate gradient method; nonlinear nonsmooth complementarity problems;
D O I：
10.3390/a8041195
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, by using the smoothing Fischer-Burmeister function, we present a new smoothing conjugate gradient method for solving the nonlinear nonsmooth complementarity problems. The line search which we used guarantees the descent of the method. Under suitable conditions, the new smoothing conjugate gradient method is proved globally convergent. Finally, preliminary numerical experiments show that the new method is efficient.
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页码：1195 / 1209
页数：15
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