| 半正定单调变分不等式的CPC算法 |
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| 引用本文： | 徐海文,张黔川,杨成,雷开洪.半正定单调变分不等式的CPC算法[J].四川师范大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 徐海文 张黔川 杨成 雷开洪 |
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| 作者单位： | 中国民航飞行学院,计算机学院,四川,广汉,618307 |
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| 摘 要： | 研究关于单调半正定变分不等式的CPC算法.通过变分不等式的3个常用的性质和半正定变分不等式的定义得到了单调半正定变分不等式的CPC算法;CPC算法不仅可以解决一般的非线性函数的半正定互补问题,而且可以解决一类没有显式函数的半正定互补问题,只要求几个迭代点的函数值的信息就可以算出最优解来,这也正是半正定CPC算法的优点;通过几个例子的计算,表明了CPC算法的优越性.
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| 关 键 词： | 变分不等式问题 CPC算法 半正定互补问题 |
CPC Algorithm for Semidefinite Monotone Variational Inequalities |
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| XU Hai-wen,ZHANG Qian-chuan,YANG Cheng,LEI Kai-hong.CPC Algorithm for Semidefinite Monotone Variational Inequalities[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
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| Authors: | XU Hai-wen ZHANG Qian-chuan YANG Cheng LEI Kai-hong |
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| Institution: | College of Computer;Civil Aviation Flight University of China;Guanghan 618307;Sichuan |
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| Abstract: | This paper studies CPC algorithm for semidefinite monotone variational inequalities(ab.SMVI),which is obtained based on three useful properties of variational inequalities and the definition of SMVI.The algorithm solves the semidefinite complementarity problems not only for general nonlinear functions,but also for those functions without manifest expressions.It is the strong point of CPC algorithm that the optimum solution could be caculated based on a few values on several iterated points.Some numerical ex... |
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| Keywords: | Variational inequality CPC algorithm Semidefinite complementarity problems |
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