2008•Journal of Kunming UniversityRequires access

A New Preconditioned Gauss-Seidel Iterative Method for H-matrices

Yaotang Li

Abstract

A new preconditioner P for solving linear system Ax=b is presented.We apply Gauss-Seidel iterative schemes to the preconditioned linear system PAx=Pb and prove that the preconditioned Gauss-Seidel method with the new preconditioner is convergence when A is an H-matrix.Finally,effectiveness of the new preconditioner Gauss-Seidel method is shown by a numerical example.

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Key concepts: Preconditioner, Gauss–Seidel method, Mathematics, Iterative method, Convergence (economics), Gauss, Applied mathematics, Matrix (chemical analysis)