CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1986, Vol. 3 ›› Issue (4): 487-495.

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CONVERGENCE OF PRECONDITIONED CONJUGATE GRADIENT METHODS

Hu Jia-gan, Wang Bang-rong, Chen Chuang-fei, Lin Xing-ping   

  1. Institute of Applied physics and Computational Mathematics, Being
  • Received:1986-05-27 Online:1986-12-25 Published:1986-12-25

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.