Title: A modified version of Jacobi approach

Authors: Bikash Kanti Sarkar, Shib Sankar Sana, P.K. Mahanti

Addresses: Department of Information Technology, Birla Institute of Technology, Mesra, Ranchi, India. ' Department of Mathematics, Bhangar Mahavidyalaya, University of Calcutta, Bhangar-743502, 24PGS (South), West Bengal, India. ' Department of Computer Science & Applied Statistics, University of New Burnswick, Saint Jhon, New Brunswick, E2L 4L5, Canada

Abstract: Several well-known approaches exist to solve a set of linear equations. This short paper introduces a modified version of the existing sequential Jacobi iterative method. The prime contribution of the present investigation is that the variables which achieve smaller than the prescribed accuracy in the earlier iteration will not be updated further as before. Although these are updated in a simpler way to filter the non-converged variables, consequently, it reduces execution time to a great extent. Results demonstrate that the proposed approach outperforms the most of the linear sets.

Keywords: sequential Jacobi iterative method; modified Jacobi approach; linear equations.

DOI: 10.1504/IJICA.2009.027997

International Journal of Innovative Computing and Applications, 2009 Vol.2 No.1, pp.60 - 65

Received: 13 Mar 2009
Accepted: 19 Jun 2009
Published online: 26 Aug 2009 *

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