| 变预处理子SOR-双共轭残量法 |
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| 引用本文： | 汪祥,聂永明,李乐波.变预处理子SOR-双共轭残量法[J].南昌大学学报(工科版),2011,33(3):281-284,289. |
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| 作者姓名： | 汪祥 聂永明 李乐波 |
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| 作者单位： | 南昌大学数学系,江西南昌,330031 |
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| 基金项目： | 国家自然科学基金资助项目(10961010); 江西省自然科学基金资助项目(2010GZS0137) |
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| 摘 要： | 研究了大规模稀疏线性方程组的预条件迭代求解算法。结合Krylov子空间方法和SOR迭代，给出了一个新的求解算法，即变预处理子SOR-双共轭残量法，同时给出了算法的收敛性分析。数值实验显示了算法的快速收敛性。
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| 关 键 词： | 大规模稀疏线性方程组 预处理子 SOR迭代 双共轭残量法 |
A Variable Preconditioning SOR-Biconjugate Residual Algorithm |
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| WANG Xiang,NIE Yong-ming,LI Le-bo.A Variable Preconditioning SOR-Biconjugate Residual Algorithm[J].Journal of Nanchang University(Engineering & Technology Edition),2011,33(3):281-284,289. |
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| Authors: | WANG Xiang NIE Yong-ming LI Le-bo |
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| Affiliation: | WANG Xiang,NIE Yong-ming,LI Le-bo(Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | In this paper,the preconditioning iterative method of large sparse linear systems has been considered.Combining Krylov subspace methods with SOR,a new algorithm of the preconditioning SOR-biconjugate residual algorithm has been proposed.Meanwhile,the convergence analysis has been presented.The numerical experiments showed that the new algorithm exhibited fast convergence performance. |
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| Keywords: | large sparse linear systems preconditioner SOR iteration bi-conjugate residual algorithm |
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