| 含参变量与P-矩阵线性互补问题及其熵函数光滑逼近问题的几点性质 |
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| 引用本文： | 徐俊文.含参变量与P-矩阵线性互补问题及其熵函数光滑逼近问题的几点性质[J].内蒙古师范大学学报(自然科学版),2007,36(2):130-133. |
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| 作者姓名： | 徐俊文 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 |
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| 基金项目： | 内蒙古师范大学校科研和教改项目 |
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| 摘 要： | 讨论了含参变量及P-矩阵的线性互补问题，将该问题等价转化为非光滑方程组，利用熵函数，给出并证明了光滑逼近问题解的若干性质．
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| 关 键 词： | 参变量 P-矩阵 互补问题 熵函数 |
| 文章编号： | 1001-8735（2007）02-0130-04 |
| 收稿时间： | 2006-10-24 |
| 修稿时间： | 2006年10月24 |
Some Properties of Linear Complementarity Problem with a Parametric P-Matrix and its Smooth Approximation Problem with the Entropy Function |
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| XU Jun-wen.Some Properties of Linear Complementarity Problem with a Parametric P-Matrix and its Smooth Approximation Problem with the Entropy Function[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2007,36(2):130-133. |
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| Authors: | XU Jun-wen |
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| Institution: | College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | A parametric P-matrix linear complementarity problem was considered and transformed into an equivalent nonsmooth equation problem. By using the entropy function, some properties of the solution to the smooth approximation problem with the entropy function was proved. |
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| Keywords: | parametric variable P-matrix complementarity problem entropy function |
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