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Prefactorization methods for some subclasses of H-matrices. (English) Zbl 0929.65015

Prefactorization methods are a very efficient tool for solving linear systems with strictly diagonally dominant matrices. This paper presents some prefactorization methods when the matrix of the linear system belongs to a class of matrices which are generalizations of strictly diagonally dominant matrices. In order to accelerate the convergence of the iterative methods (Jacobi and Gauss-Seidel), the forward successive overrelaxation two-sweep iterative method and the backward successive overrelaxation two-sweep iterative method (briefly called DSOR that is double successive overrelaxation two-sweep method). By suitable choosing the parameters, some convergence results for Jacobi DSOR and Gauss-Seidel DSOR methods are obtained.

MSC:

65F10 Iterative numerical methods for linear systems
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