| 予条件共轭梯度法的收敛性 |
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| 引用本文： | 胡家赣,王邦荣,陈创飞,刘兴平.予条件共轭梯度法的收敛性[J].计算物理,1986,3(4):487-495. |
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| 作者姓名： | 胡家赣 王邦荣 陈创飞 刘兴平 |
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| 作者单位： | 应用物理与计算数学研究所, 北京 |
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| 摘 要： | 本文对某些予条件共轭梯度法的收敛性进行了一些分析,如ICCG法,ILUCK(K)法、ILUCG(P)法及所谓的"TCG法",其中用了许多分裂作为对所要解的线性代数方程组的系数矩阵A进行予条件的工具,这里设A为对角优势矩阵,文中还给出了若干数值算例来说明我们分析的结果。
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| 收稿时间： | 1986-05-27 |
CONVERGENCE OF PRECONDITIONED CONJUGATE GRADIENT METHODS |
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| Hu Jia-gan,Wang Bang-rong,Chen Chuang-fei,Lin Xing-ping.CONVERGENCE OF PRECONDITIONED CONJUGATE GRADIENT METHODS[J].Chinese Journal of Computational Physics,1986,3(4):487-495. |
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| Authors: | Hu Jia-gan Wang Bang-rong Chen Chuang-fei Lin Xing-ping |
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| Institution: | Institute of Applied physics and Computational Mathematics, Being |
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| Abstract: | In this paper,we analyse the rate of convergence of some precontditionedonjugate gradient methods,namely ICCG method ILUCG(k) method, ILUCG (p)method and so called "TCG method" with a number of splittings for preconditioning the coefficient matrix A of the system of linear algebraic equation to be solved under the condition that A is diagonally dominant. Several numeriical examples are given to illustrate our analysis. |
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