Convergence of Triple Accelerated Over-Relaxation (TAOR) Method for M-Matrix Linear Systems

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Date

2021-09-19

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Islamic Azad University, Rasht, Iran

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

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A journal Publication

Keywords

TAOR method, 𝑀-matrix, linear systems, Spectral radius, Convergence conditions

Citation

Audu, K. J., Yahaya, Y. A., Adeboye, K. R. & Abubakar, U. Y. (2021). Convergence of Triple Accelerated Over Relaxation (TAOR) for M-matrix Linear Systems. Iranian Journal of Optimization, 13(2), 93-101.

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