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Dr. Shaaban Abd El-Gaid Meligy Mahmoud :: Publications:

A Refinement of the KSOR Iterative Method
Authors: Sh. A. Meligy; I. K. Youssef
Year: 2022
Keywords: Not Available
Journal: International Journal of Mathematics and Computer Science
Volume: 17
Issue: 3
Pages: 1193-1199
Publisher: Badih Ghusayni
Local/International: International
Paper Link:
Full paper Shaaban Abd El-Gaid Meligy Mahmoud_A Refinement of the KSOR Iterative Method.pdf
Supplementary materials Not Available

We introduce a refinement formulation of the KSOR method and establish the rate of convergence of the introduced formulas. We compare a new formula (RKSOR) with the classical form (KSOR). The efficient performance of the new form is established theoretically and confirmed through a numerical example. The decrease in the required number of iterations for convergence is established through the calculation of the spectral radius of the iteration matrices. The calculations and graphs are performed with the help of the computer algebra software Mathematica.

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