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预条件后双分裂Jacobi迭代法收敛性

The Convergence of the Double Splitting Jacobi Iterative Method in Preconditioned
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摘要 针对大型线性方程组的求解问题,将预条件方法和双分裂方法相结合,给出预条件后的双分裂形式的Jacobi迭代方法,讨论该方法的收敛性,并与预条件方法以及双分裂方法的收敛速度进行比较,说明这种方法收敛效果更好,最后给出数值例子来检验. For solving the large linear system problem,this paper gives the double splitting Jacobi iterative methodin preconditioned,this method combines the precondition and the double splitting method. Then the paper provesthat the method to accelerate convergence not only exceeds the preconditioned but also precedes the doublesplitting method. At last the numerical example is given.
作者 王慧勤
出处 《河南科学》 2016年第2期178-181,共4页 Henan Science
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)
关键词 预条件方法 JACOBI迭代法 双分裂法 收敛性 preconditioned method Jacobi iteration method double splitting method convergence
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