| 线性互补问题解存在的条件 |
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| 引用本文： | 雍龙泉,刘淳安.线性互补问题解存在的条件[J].宝鸡文理学院学报(自然科学版),2005,25(4):262-264. |
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| 作者姓名： | 雍龙泉 刘淳安 |
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| 作者单位： | 陕西理工学院,数学与计算机科学系,陕西,汉中,723000;宝鸡文理学院,数学系,陕西,宝鸡,721007 |
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| 基金项目： | 宝鸡文理学院校科研和教改项目;宝鸡文理学院校科研和教改项目 |
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| 摘 要： | 线性互补问题是一类重要的优化问题.本文研究了线性互补问题解的存在性,证明了其解的存在唯一性定理,给出了线性互补问题解存在的充分条件和充分必要条件,并指出了这些条件之间的内在关系.
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| 关 键 词： | 线性互补问题 协调正加 P0-矩阵 P-矩阵 |
| 文章编号： | 1007-1261（2005）04-0262-03 |
| 收稿时间： | 2005-03-14 |
| 修稿时间： | 2005-04-25 |
Existent conditions of solution for linear complementary problem |
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| YONG Long-quan,LIU Chun-an.Existent conditions of solution for linear complementary problem[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2005,25(4):262-264. |
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| Authors: | YONG Long-quan LIU Chun-an |
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| Abstract: | Linear complementary problem(LCP) is an important branch in mathematical programming.Some existent conditions of the solutions for linear complementary problem are considered in this paper,and the uniqueness theorem of the solution for linear complementary problem is proved,then the sufficient conditions and the necessary-sufficient conditions were introduced,Last the inner relations of these conditions are pointed. |
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| Keywords: | linear complementary problem copositive-plus P 0 -matrix P -matrix |
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