| 线性互补问题的SSOR多分裂算法 |
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| 引用本文： | 段班祥,邓洁. 线性互补问题的SSOR多分裂算法[J]. 江西师范大学学报(自然科学版), 2011, 35(5): 459-463 |
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| 作者姓名： | 段班祥 邓洁 |
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| 作者单位： | 广东科学技术职业学院计算机工程技术学院,广东珠海,519090 |
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| 基金项目： | 广东省自然科学基金(8151064007000004); 广东科学技术职业学院校级重点科研(XJZD2010204)资助项目 |
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| 摘 要： | 运用矩阵的SSOR多分裂和松弛迭代算法,提出了一类求解线性互补问题的数值解法.在一定条件下分析了算法的全局收敛性和松弛因子的范围,扩大了以往求解线性方程组的SSOR多分裂迭代算法的收敛区域.
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| 关 键 词： | 线性互补问题 SSOR多分裂 多重分裂算法 松弛迭代 H-矩阵 M-矩阵 |
The SSOR Multisplitting Iterative Methods for Linear Complementarity Problem |
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| DUAN Ban-xiang,DENG Jie. The SSOR Multisplitting Iterative Methods for Linear Complementarity Problem[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2011, 35(5): 459-463 |
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| Authors: | DUAN Ban-xiang DENG Jie |
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| Affiliation: | DUAN Ban-xiang,DENG Jie(Computer Engineering Technical College,GuangDong Institute of Science and Technology,Zhuhai GuangDong 519090,China) |
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| Abstract: | A class of numberical methods for solving the linear complementarity problem are established by the combination of SSOR multisplitting method and relaxed iterative method.It is shown that these methods are globally convergent.It also gives the requirement for the relative factor.Moreover,theoretical analysis clearly show that the new convergent domain is wider. |
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| Keywords: | linear complementarity problem SSOR multisplitting multisplitting method relaxed iterative method H-matrix M-matrix |
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