| 逐次超松弛法因子的选取 |
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| 引用本文： | 柳杨,王川龙. 逐次超松弛法因子的选取[J]. 太原师范学院学报(自然科学版), 2012, 11(2): 61-63 |
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| 作者姓名： | 柳杨 王川龙 |
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| 作者单位： | 1. 山西大学数学科学学院,山西太原,030006
2. 太原师范学院数学系,山西太原,030012 |
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| 摘 要： | 文章在系数矩阵A满足对称正定的情况下给出了一类解大型稀疏线性系统Ax=b的最新方法,即渐近最优超松弛迭代法,避免了传统选择最佳松弛因子带来的不便,并通过理论性证明此算法收敛于Ax=b的解或近似解.
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| 关 键 词： | 超松弛迭代 松弛因子 二次函数 线性等式系统 |
The Selection of Factors about Successive Overrelaxation Method |
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| Liu Yang,Wang Chuanlong. The Selection of Factors about Successive Overrelaxation Method[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 11(2): 61-63 |
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| Authors: | Liu Yang Wang Chuanlong |
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| Affiliation: | 1.School of Mathematical Sciences,Shanxi University,Taiyuan 030006; 2.Department of Mathematics,Taiyuan Normal University,Taiyuan 030012,China) |
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| Abstract: | We present a class of asymptotically optimal successive overrelaxation methods for solvingthe large sparse system of linear equations.Avoiding inconvenience for the traditional choose of the bestrelaxation factor.And we prove the solution or approximate solution of the algorithm convergence Ax=b as thecoefficient matrix is a symmetric positive definite matrix. |
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| Keywords: | successive overrelaxation methods relaxation factor quadratic function sys-tem of linear equations |
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