| A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS |
| |
| 引用本文： | Chang-fengMa Pu-yanNie Guo-pingLiang. A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS[J]. 计算数学(英文版), 2003, 21(6): 747-758 |
| |
| 作者姓名： | Chang-fengMa Pu-yanNie Guo-pingLiang |
| |
| 作者单位： | [1]DepartmentofComputationalScienceandAppliedPhysics,GuilinInstituteofElectronicTechnology,Guangxi541004,China [2]DepartmentofMathematics,InstituteofInformationScienceandTechnology,JinanUniversity,Guangzhou510623,China [3]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China |
| |
| 基金项目： | This work is supported by the National Natural Science Foundation of China. |
| |
| 摘 要： | The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by constructing a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.
|
| 关 键 词： | 光滑方程 非线性互补性问题 全局收敛性 超线性收敛 |
A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS |
| |
| Chang-feng Ma. A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS[J]. Journal of Computational Mathematics, 2003, 21(6): 747-758 |
| |
| Authors: | Chang-feng Ma |
| |
| Abstract: | The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by constructing a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm. |
| |
| Keywords: | Nonlinear complementarity problem Smoothing Newton method Global convergence Superlinear convergence. |
| 本文献已被 CNKI 维普 等数据库收录！ |
