Refinement of Triple Accelerated Over Relaxation (RTAOR) Method for Solution of Linear System
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Date
2021-04-21
Journal Title
Journal ISSN
Volume Title
Publisher
Nigeria Mathematical Sciences (NMS)
Abstract
In this paper, a Refinement of Extended Accelerated Over-Relaxation (REAOR) iterative method for solving linear systems is presented. The method is designed to solve problems of partial differential equations that results into linear systems having coefficient matrices such as weak irreducible diagonally dominant matrix and 𝐿−matrix (or 𝑀−matrix). Sufficient criterion for convergence are examined and few numerical illustrations are considered to ascertain efficiency of the new method. Outcome of the numerical results reveals that the REAOR iterative method is more efficient when compared with Extended Accelerated Over-Relaxation iterative method in terms of computational time, level of accuracy and required number of iterations for convergence
Description
A Conference Paper
Keywords
sufficient, Refinement, REAOR, Extended, diagonally dominant matrix, convergence, efficiency, partial differential equation, linear systems
Citation
Audu, K. J. Yahaya, Y. A., Adeboye, K. R., and Abubakar, U. Y(201). Refinement of Triple Accelerated Over Relaxation (RTAOR) Method for Solution of Linear System. A Paper presented at the 40th Annual Conference of Nigerian Mathematical Society (NMS), Rederrmar's University, Ede, Osun State, Nigeria, 20th – 24th April, 2021