Khadeejah James AuduYusuph Amuda YahayaRufus Kayode AdeboyeUsman Yusuf Abubakar2025-04-242021-09-19Audu, 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.ISSN: 2588-5723E-ISSN:2008-5427http://repository.futminna.edu.ng:4000/handle/123456789/927A journal PublicationIn 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 matricesenTAOR method𝑀-matrixlinear systemsSpectral radiusConvergence conditionsArticle