A REGULARIZED CONJUGATE GRADIENT METHOD FOR SYMMETRIC POSITIVE DEFINITE SYSTEM OF LINEAR EQUATIONS

查看全文 作　　者：Zhong-zhi [1]Bai;Shao-liang [2]Zhang

机构地区：[1]LSEC,ICMSEC,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China;[2]Department of Applied Physics,University of Tokyo,7-3-1 Hongo,Bunkyo-ku,Tokyo 113-8656,Japan

出　　处：《Journal of Computational Mathematics》索引2002年第20卷第4期,共12页

基　　金：Subsidized by The Special Funds For Major State Basic Research Projects G1999032803. 摘　　要：AbstractA class of regularized conjugate gradient methods is presented for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned symmetric positive definite matrix. The convergence properties of these methods are discussed in depth, and the best possible choices of the parameters involved in the new methods are investigated in detail. Numerical computations show that the new methods are more efficient and robust than both classical relaxation methods and classical conjugate direction methods. 关键词：CONJUGATE gradient method Symmetric positive definite matrix Regulariza-tion ILL-CONDITIONED linear system

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A REGULARIZED CONJUGATE GRADIENT METHOD FOR SYMMETRIC POSITIVE DEFINITE SYSTEM OF LINEAR EQUATIONS

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