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

الموضوعات : Numerical Analysis

Khadeejah Audu ¹ , Yusuph Yahaya ² , Rufus Adeboye ³ , Usman Abubakar ⁴

1 - Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria
2 - Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria
3 - Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria
4 - Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria

تاريخ الإرسال : 22 الخميس , جمادى الثانية, 1442 تاريخ التأكيد : 12 الأحد , صفر, 1443 تاريخ الإصدار : 20 الثلاثاء , شوال, 1442

الکلمات المفتاحية: TAOR Method, $ M- $matrix, Linear systems, Spectral Radius, Convergence Conditions,

ملخص المقالة :

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 some 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 radii of their iteration matrices.

المصادر:

Audu, K. J., Yahaya, Y. A., Adeboye, K. R., Abubakar, U. Y., & Ndanusa, A., (2020). Triple Accelerated Over-relaxation Method for System of Linear Equations. Journal of Science, Technology, Mathematics and Education, 16 (2), 137-146.

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