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Solving linear systems of equations by two-step diagonal and off-diagonal multisplitting methods

    Author

    • Maryam Bashirizadeh

    Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.

,

Document Type : Regular paper

10.52547/CMCMA.1.1.105
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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.

Keywords

  • Iterative methods
  • Multisplitting
  • Linear system
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    • Article View: 86
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 1 - Serial Number 1
June 2022
Pages 105-115
Files
  • XML
  • PDF 252.78 K
History
  • Receive Date: 14 May 2023
  • Revise Date: 02 July 2023
  • Accept Date: 24 July 2023
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 86
  • PDF Download: 141

APA

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

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