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《Journal of Chengdu University of Technology》 2002-05
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PRECONDITIONED CONJUGATE GRADIENT METHOD AND ITS APPLICATION TO SOLVING BOUNDARY VALUE PROBLEM

AN Hong-yan 1, CAI Jing-jiang 2, LI Xin 3, HE Yong-bin 1, FAN Xiao-tao 1, HE Yong-fu 1 (1.Chengdu University of Technology, China; 2.Shanghai Institute of ZTE Limited Company; 3.Panzhihua University, Sichuan)  
Based on proving the error estimate formula of conjugate gradient method(CG), this paper makes a pretreatment of coefficient matrix in order to improve convergence speed. This disposal provides the method of reducing the condition number of equivalence problem. So it perfectly establishes the practical algorithm of preconditioned conjugate gradient method(PCG). At last, taking the boundary value problem of Poisson equation as an example, this paper illuminates the validity of this method through numerical experiment.
【CateGory Index】: O241
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10 FAN Xiao tao, JI Guang ming (College of Information Management, Chengdu University of Technology, China);PRECONDITIONED MATRIX AND ITS STRUCTURE TECHNIQUE[J];Journal of Chengdu University of Technology(Science & Technology Edition);2003-04
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