Reverse Jacobi method for Off-Diagonally Dominat

Kohno, Toshiyuki  and Sakakihara Toshiyuki

We discuss stationary iterative methods for tridiagonal matrix. Classical iterative methods such as the Jacobi method and the Gauss-Seidel method are well-known. These methods have the advantage of being simple algorithms. This effectiveness is obtained by a simple splitting of the coefficient matrix. However, for off-diagonally dominant, the convergence of the method is not guaranteed. In this paper, we propose a new iterative method based on the other decomposition utilizing the properties of tridiagonal matrix for the case where the Jacobi iterative method diverges.

THE BULLETIN OF OKAYAMA UNIVERSITY OF SCIENCE

Okayama University of Science

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