Cvetković, Ljiljana; Nedić, Jelena Prefactorization methods for some subclasses of H-matrices. (English) Zbl 0929.65015 Demonstr. Math. 31, No. 4, 789-800 (1998). 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. Reviewer: Iulian Coroian (Baia Mare) MSC: 65F10 Iterative numerical methods for linear systems Keywords:convergence acceleration; H-matrices; M-matrices; two-sweep iterative method; prefactorization splitting; Jacobi method; Gauss-Seidel method; diagonally dominant matrices; successive overrelaxation PDFBibTeX XMLCite \textit{L. Cvetković} and \textit{J. Nedić}, Demonstr. Math. 31, No. 4, 789--800 (1998; Zbl 0929.65015)