| A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS |
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| 作者姓名： | Chang-fengMa Pu-yanNie Guo-pingLiang |
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| 作者单位： | [1]DepartmentofComputationalScienceandAppliedPhysics,GuilinInstituteofElectronicTechnology,Guangxi541004,China [2]DepartmentofMathematics,InstituteofInformationScienceandTechnology,JinanUniversity,Guangzhou510623,China [3]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China. |
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| 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.
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| 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 |
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| Chang-fengMa Pu-yanNie Guo-pingLiang.A NEW SMOOTHING EQUATIONS APPROACH TO THE NONLINEAR COMPLEMENTARITY PROBLEMS[J].Journal of Computational Mathematics,2003,21(6):747-758. |
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| Authors: | Chang-feng Ma |
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| 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. |
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| Keywords: | Nonlinear complementarity problem Smoothing Newton method Global convergence Superlinear convergence |
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