Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: RUI-PING WEN and FU-JIAO REN
Pages: [311] - [322]
Received Date: July 6, 2008
Submitted by:
In 1991 A.D. Gunawardena et al. reported that the convergence rate of
the Gauss-Seidel method with a preconditioning matrix 
is superior to that of the basic iterative
method. In this paper, we use the preconditioning matrix 
If a coefficient matrix A is a
nonsingular L-matrix, the modified method yields considerable
improvement in the rate of convergence for the iterative method.
Finally, a numerical example shows the advantage of this method.
L-matrix, iterative method, convergence.
