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

Composite Refinement Techniques for Solving Linear Systems
Authors: Sh. A. Meligy; I. K. Youssef
Year: 2022
Keywords: Not Available
Journal: Journal of Mathematical and Computational Science
Volume: 12
Issue: Not Available
Pages: Article ID 145
Publisher: SCIK Publishing Corporation
Local/International: International
Paper Link:
Full paper Shaaban Abd El-Gaid Meligy Mahmoud_Composite Refinement Techniques forSolvingLinearSystems.pdf
Supplementary materials Not Available

A composite refinement approach for stationary iterative methods is introduced. Two new formulas (RJGS and RGSJ) are compared with the classical forms. Rates of convergence of the introduced composite formulas (RJGS and RGSJ) are well established. The efficient performance of the new forms is established theoretically and confirmed through numerical examples. The decrease in the required number of iterations for convergence is established through the calculation of the spectral radius of the iteration matrices. The algorithmic structure of the new formulas is announced. Three numerical examples with different convergent properties are considered. The calculations are performed with the help of computer algebra software Mathematica.

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