| 改进矩阵分裂形式的预条件SOR迭代法收敛性讨论 |
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| 引用本文： | 雷刚. 改进矩阵分裂形式的预条件SOR迭代法收敛性讨论[J]. 河南科学, 2011, 29(3): 264-268 |
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| 作者姓名： | 雷刚 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721013 |
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| 基金项目： | 国家自然科学基金资助项目，宝鸡文理学院重点项目基金资助 |
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| 摘 要： | 结合矩阵分裂理论及比较定理,给出一种改进矩阵分裂形式的预条件含参数SOR迭代方法,证明这种方法不仅能加速SOR迭代法的收敛性,而且优于一般的预条件方法,并找出参数的最优选取.最后通过数值例子加以说明.
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| 关 键 词： | 预条件 收敛性 SOR迭代法 谱半径 |
Convergence Discussion of the SOR Iterative Method in Preconditioned the Based on Improved Matrix Splitting Modus |
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| Lei Gang. Convergence Discussion of the SOR Iterative Method in Preconditioned the Based on Improved Matrix Splitting Modus[J]. Henan Science, 2011, 29(3): 264-268 |
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| Authors: | Lei Gang |
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| Affiliation: | Lei Gang (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi China) |
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| Abstract: | In this paper,by using matrix iterative analysis and comparison theorems,make an improved SOR iterative method to solve the large linear system in preconditioned based on matrix splitting,then prove the improved method not only to accelerate the SOR iterative method,but also to excel the general preconditioned SOR method.Last the numerical example is given. |
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| Keywords: | precondition convergence the SOR iteration method spectral radius |
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