| A REGULARIZATION NEWTON METHOD FOR MIXED COMPLEMENTARITY PROBLEMS |
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| 作者姓名： | 王宜举 周厚春 王长钰 |
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| 作者单位： | [1]InstituteofOperationsResearch,QufuNormalUniversity,Rizhao276800,China [2]SchoolofMathematicsandComputerScience,NanjingNormalUniversity,Nanjing210097,China |
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| 基金项目： | the MSF of China，山东省自然科学基金 |
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| 摘 要： | In this paper, a regularization Newton method for mixed complementarity problem(MCP) based on the reformulation of MCP in 1] is proposed. Its global conver-gence is proved under the assumption that F is a Po-function. The main feature of our algorithm is that a priori of the existence of an accumulation point for convergence need not to be assumed.
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| 关 键 词： | 规则化 牛顿解法 一致收敛 超线性收敛 连续微分映射 MCP 微分方程 |
| 收稿时间： | 9 January 2001 |
A REGULARIZATION NEWTON METHOD FOR MIXED COMPLEMENTARITY PROBLEMS |
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| Wang Yiju Zhou Houchun Wang Changyu
Institute of Operations Research,Qufu Normal University,Rizhao ,China
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing ,China.A REGULARIZATION NEWTON METHOD FOR MIXED COMPLEMENTARITY PROBLEMS[J].Acta Mathematica Scientia,2004,24(3):376-384. |
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| Authors: | Wang Yiju Zhou Houchun Wang Changyu
Institute of Operations Research Qufu Normal University Rizhao China
School of Mathematics and Computer Science Nanjing Normal University Nanjing China |
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| Institution: | Wang Yiju Zhou Houchun Wang Changyu
Institute of Operations Research,Qufu Normal University,Rizhao 276800,China
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210091,China
Department of Mathematics,Linyi Teachers College,Linyi 276005,China |
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| Abstract: | In this paper, a regularization Newton method for mixed complementarity problem(MCP) based on the reformulation of MCP in 1] is proposed. Its global convergence is proved under the assumption that F is a Po-function. The main feature of our algorithm is that a priori of the existence of an accumulation point for convergence need not to be assumed. |
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| Keywords: | Regularization Newton method global convergence super-linear conver-gence |
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