兰州大学机构库 >数学与统计学院
关于修正HSS迭代法超松弛加速的一点探讨
Alternative TitleThe SOR acceleration for MHSS iteration
沈斯杰
Subtype学士
Thesis Advisor伍渝江
2014-05-23
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name学士
Keyword超松弛加速 修正艾尔米特迭代法 超松弛格式 非对称系数矩阵
Abstract通过对修正艾尔米特和反艾尔米特(MHSS)迭代法的推广,我们进一步得到了对非对称系数矩阵,修正艾尔米特和反艾尔米特(MHSS)迭代法在满足一定条件下仍然有效。基于不动点方程,我们还将构造超松弛(SOR)格式对修正艾尔米特和反艾尔米特(MHSS)迭代法进行加速,并分析它的收敛性。同时,通过算例实验验证所构建超松弛(SOR)格式在相应条件下的加速效果。
Other AbstractWe consider the numerical solution of a class of non-Hermitian positive-definite linear system by the modified Hermitian and skew-Hermitian splitting (MHSS) iteration. And the convergence of MHSS iteration under certain conditions when the coefficient matrix is not symmetric has been proved. By the fixed-point equations, we construct a successive overrelaxation (SOR) acceleration for MHSS iteration. Then we prove the convergence of the acceleration and use example to show the effectiveness under certain conditions.
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/225332
Collection数学与统计学院
Recommended Citation
GB/T 7714
沈斯杰. 关于修正HSS迭代法超松弛加速的一点探讨[D]. 兰州. 兰州大学,2014.
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