Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods | ||
| Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
| دوره 1، شماره 1، شهریور 2022، صفحه 105-115 اصل مقاله (252.78 K) | ||
| نوع مقاله: Regular paper | ||
| شناسه دیجیتال (DOI): 10.52547/CMCMA.1.1.105 | ||
| نویسنده | ||
| Maryam Bashirizadeh* | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran. | ||
| چکیده | ||
| In the realm of solving large linear systems of equations, multisplitting methods emerge as a prominent class of iterative techniques. This paper introduces two-step diagonal and off-diagonal multisplitting methods and evaluates their effectiveness in comparison to symmetric successive overrelaxation multisplitting and quasi-Chebyshev accelerated multisplitting techniques for solving linear systems of equations. Additionally, this study investigates convergence theorems when the system matrix is an $H$-matrix and demonstrates the effectiveness of the proposed methods by presenting numerical results. | ||
| کلیدواژهها | ||
| Iterative methods؛ Multisplitting؛ Linear system | ||
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آمار تعداد مشاهده مقاله: 55 تعداد دریافت فایل اصل مقاله: 56 |
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