预条件后双分裂迭代法收敛性比较  

The comparison of the convergence rate of the preconditioned double splitting iterative method

作　　者：雷刚[1] 王慧勤[1] 

机构地区：[1]宝鸡文理学院数学与信息科学学院,陕西宝鸡721013

出　　处：《宝鸡文理学院学报（自然科学版）》2016年第1期6-9,共4页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：陕西省教育厅科学研究计划项目(14JK1052);宝鸡文理学院重点项目(ZK15008)

摘　　要：目的求解大型稀疏数线性方程组。方法将预条件方法和双分裂迭代法相结合。结果得到预条件后双分裂迭代方法收敛,给出预条件后不同的双分裂迭代方法的收敛速度的比较。结论预条件和双分裂相结合不改变迭代法的敛散性,不同的分裂可以加速迭代法收敛,为快速求解线性方程组提供帮助。Purposes--To solve large-scale sparse linear equation Ax= b. Methods-- The precondi- tioned iterative method and double splitting method are combined to achieve the above-- mentioned ob- jective. Results-- Gotten is the convergence of preconditioned double splitting iterative method and given is the comparison of the convergence rate of preconditioned double splitting method. Conclu- sion- The combination of preconditioned iterative method and double splitting method does not change the nature of convergence; different divisions can accelerate the convergence of iterative meth- ods, these help to solve linear equations quickly.

关 键 词：双分裂迭代法 预条件方法 收敛性 

分 类 号：O241.6[理学—计算数学]