| 绝对值等式问题解的存在性研究 |
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| 引用本文： | 雍龙泉,马守富.绝对值等式问题解的存在性研究[J].新乡学院学报(自然科学版),2010(5):19-21. |
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| 作者姓名： | 雍龙泉 马守富 |
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| 作者单位： | [1]陕西理工学院数学系,陕西汉中723001 [2]鹤壁职业技术学院电子信息工程系,河南鹤壁458030 |
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| 基金项目： | 陕西省教育厅自然科学研究项目（09JK381） |
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| 摘 要： | 研究了绝对值等式问题解的存在性条件,通过把绝对值等式问题转化为线性互补问题,利用矩阵的某些性质和线性互补问题解的存在条件,给出了绝对值等式问题解的存在性条件和无解条件。
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| 关 键 词： | 绝对值等式问题 线性互补问题 正定矩阵 奇异值 Farkas引理 |
Existent Conditions of Solution to Absolute Value Equations Problem |
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| Authors: | YONG Long-quan MA Shou-fu |
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| Institution: | 1.Department of Mathematics,Shanxi University of Technology,Hanzhong 723001,China;2.Department of Electronic ＆ Information Engineering,Hebi College of Vocation and Technology,Hebi 458030,China) |
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| Abstract: | Some existent conditions of the solutions to absolute value equations problem are considered in this paper.We transformed absolute value equations problem into linear complementarity problem,combining with some property of matrix and existent conditions of the solutions to linear complementary problem,existence theorems of the solution and conditions of no solution to absolute value equations problem are presented respectively. |
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| Keywords: | absolute value equations problem linear complementarity problem positive definite matrix singular value Farkas lemma |
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