Reverse Jacobi method for Off-Diagonally Dominat

Toshiyuki Kohno, Michio Sakakihara

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 No.60 A pp. 7-11 (2024)

岡山理科大学

60

A

7

11

Online ISSN 2433-9946