| 广义互补问题的正则化牛顿算法 |
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| 引用本文： | 曹媛媛. 广义互补问题的正则化牛顿算法[J]. 科学技术与工程, 2009, 9(24) |
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| 作者姓名： | 曹媛媛 |
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| 作者单位： | 曲阜师范大学杏坛学院,曲阜,273100 |
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| 基金项目： | 国家自然科学基金项目: |
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| 摘 要： | 首先将定义在闭凸多面锥上的广义互补问题(GNCP)转化为一个等价的非线性方程组,然后利用正则化牛顿算法来求解此非线性方程组,并建立了算法的超线性(二阶)收敛性.
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| 关 键 词： | 广义互补问题 正则化牛顿算法 半光滑 广义Jocobian 非奇异性条件 |
| 收稿时间： | 2009-09-19 |
| 修稿时间： | 2009-09-29 |
A REGUARIZATION-NEWTON ALGORITHM FOR THE GENERALIZED |
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| caoyuanyuan. A REGUARIZATION-NEWTON ALGORITHM FOR THE GENERALIZED[J]. Science Technology and Engineering, 2009, 9(24) |
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| Authors: | caoyuanyuan |
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| Abstract: | In this paper, the generalized nonlinear complementarity problem (GNCP) over a polyhedral cone is considered. To solve the problem, we first reformulate it as a system of nonlinear equations, and then develop a regularization-Newton algorithm to solve it, the global convergence and superlinear convergence rate of the algorithm are also analyzed in this thesis.KEYWORD: General Nonlinear Complementarity Problem; Regularization-Newton Method; Semismooth;Generalized Jocobian; Nonsingularity condition. |
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| Keywords: | General Nonlinear Complementarity Problem Regularization-Newton Method Semismooth Generalized Jocobian Nonsingularity condition |
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