| 线性互补问题中一个新的高阶收敛算法 |
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| 引用本文： | 刘国志,宋岱才.线性互补问题中一个新的高阶收敛算法[J].吉林大学学报(理学版),2002,40(3). |
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| 作者姓名： | 刘国志 宋岱才 |
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| 作者单位： | 抚顺石油学院数理部,抚顺,113001 |
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| 摘 要： | 利用凝聚函数对线性互补问题的等价形式进行带参数的磨光 ,并对参数方程的解曲线进行离散化追踪 ,在无假设有严格互补解的条件下 ,给出一个新的算法 .在适当条件下 ,证明该算法具有大范围线性收敛和局部任意阶收敛性
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| 关 键 词： | 线性互补问题 高阶收敛性 凝聚函数 |
A New Higher Order Convergence Algorithm for Linear Complementarity Problems |
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| LIU Guo-zhi,SONG Dai-cai.A New Higher Order Convergence Algorithm for Linear Complementarity Problems[J].Journal of Jilin University: Sci Ed,2002,40(3). |
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| Authors: | LIU Guo-zhi SONG Dai-cai |
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| Abstract: | The present paper presents a non-interior continuation method for solving linear complementarity problems without strictly complementarity, where r>0 is any integer. The new algorithm follows the smoothing path generated by means of the smoothing equations via aggregate function, and is proved to be of global linear and local r-th order convergence under suitable assumptions and conditions. |
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| Keywords: | linear complementarity higher order convergence aggregate function |
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