| 广义绝对值方程 |
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| 引用本文： | 龚成,戴培良.广义绝对值方程[J].常熟理工学院学报,2011,25(8):27-30. |
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| 作者姓名： | 龚成 戴培良 |
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| 作者单位： | 常熟理工学院数学与统计学院,江苏常熟,215500 |
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| 摘 要： | 广义绝对值方程是绝对值方程的推广，证明了其等价于广义线性互补问题，探讨了广义绝对值方程解唯一存在的条件，这些结果也推广了Mangasarian在文献1]中的结论，提出了广义绝对值方程解唯一存在的几个充要条件．最后，给出了广义绝对值方程的一个迭代算法，理论分析和数值结果均说明该方法是有效的．
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| 关 键 词： | 广义绝对值方程 广义线性互补问题 迭代算法 |
Generalized Absolute Value Equations |
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| GONG Cheng,DAI Pei-liang.Generalized Absolute Value Equations[J].Journal of Changshu Institute of Technology,2011,25(8):27-30. |
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| Authors: | GONG Cheng DAI Pei-liang |
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| Institution: | GONG Cheng,DAI Pei-liang ( School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500,China) |
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| Abstract: | This paper is concerned with the generalized absolute value equations. It shows that the generalizeda bsolute value equations are equivalent to the generalized linear complementarity problem and a bilinear program. Existence results of the generalized absolute value equations solution are obtained and the results of Mangasarian in 2] are improved. Some necessary and sufficient conditions are given. An iterative algorithm is proposed for the generalized absolute value equations. Theoretic analysis and numer... |
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| Keywords: | generalized absolute value equations generalized linear complementarity problem iterative algorithm |
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