Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
Abstract
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.
Bashirizadeh,M . (2022). Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(1), 105-115. doi: 10.52547/CMCMA.1.1.105
MLA
Bashirizadeh,M . "Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 1, 2022, 105-115. doi: 10.52547/CMCMA.1.1.105
HARVARD
Bashirizadeh M. (2022). 'Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(1), pp. 105-115. doi: 10.52547/CMCMA.1.1.105
CHICAGO
M Bashirizadeh, "Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 1 (2022): 105-115, doi: 10.52547/CMCMA.1.1.105
VANCOUVER
Bashirizadeh M. Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods. Computational Mathematics and Computer Modeling with Applications (CMCMA). 2022;1(1):105-115. doi: 10.52547/CMCMA.1.1.105
