计算物理 ›› 1986, Vol. 3 ›› Issue (4): 487-495.
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胡家赣, 王邦荣, 陈创飞, 刘兴平
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Hu Jia-gan, Wang Bang-rong, Chen Chuang-fei, Lin Xing-ping
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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。
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.
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.
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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http://www.cjcp.org.cn/CN/Y1986/V3/I4/487
