Title of article :
Convergence of Triple Accelerated Over-Relaxation (TAOR) Method for M-Matrix Linear Systems
Author/Authors :
audu, khadeejah james federal university of technology - school of physical sciences - department of mathematics, Minna, Nigeria , yahaya, yusuph amuda federal university of technology - school of physical sciences - department of mathematics, Minna, Nigeria , adeboye, rufus kayode federal university of technology - school of physical sciences - department of mathematics, Minna, Nigeria , abubakar, usman yusuf federal university of technology - school of physical sciences - department of mathematics, Minna, Nigeria
Abstract :
In this paper, we propose some necessary conditions for convergence of Triple Accelerated Over-Relaxation (TAOR) method with respect to 𝑀 − coefficient matrices. The theoretical approach for the proofs is analyzed through standard procedures in the literature. Some numerical experiments are performed to show the efficiency of our approach, and the results obtained compared favourably with those obtained through the existing methods in terms of spectral radius of their iteration matrices.
Keywords :
TAOR method , 𝑀 , matrix , linear systems , Spectral radius , Convergence conditions
Journal title :
IJO: Iranian Journal of Optimization
Journal title :
IJO: Iranian Journal of Optimization
