The use of second degree normalized implicit conjugate gradient methods for solving large sparse systems of linear equations

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摘要

Second degree normalized implicit conjugate gradient methods for the numerical solution of self-adjoint elliptic partial differential equations are developed. A proposal for the selection of certain values of the iteration parameters ϱi, γi involved in solving two and three-dimensional elliptic boundary-value problems leading to substantial savings in computational work is presented. Experimental results for model problems are given.

论文关键词:Conjugate gradient methods,second-degree iterative methods,symmetric linear systems,sparse matrices,preconditioning,self-adjoint elliptical partial differential equations

论文评审过程:Received 28 October 1983, Revised 12 March 1984, Available online 13 May 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(84)90030-X