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An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix

    Author

    • Raziyeh Erfanifar

    Faculty of Mathematics and Statistics, Malayer University, Malayer, Iran.

,

Document Type : Regular paper

10.52547/CMCMA.1.2.8
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Abstract

In this paper, a third order convergent method for finding the Moore-Penrose inverse of a matrix is presented and analysed. Then, we develop the method to find Drazin inversion. This method is very robust to find the Moore-Penrose and Drazin inverse of a matrix. Finally, numerical examples show that the efficiency of the proposed method is superior over other proposed methods.

Keywords

  • Moore-Penrose inverse
  • Iterative method
  • Third-order convergence
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    • Article View: 149
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 8-19
Files
  • XML
  • PDF 234.15 K
History
  • Receive Date: 28 July 2022
  • Revise Date: 26 August 2022
  • Accept Date: 21 September 2022
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 149
  • PDF Download: 301

APA

Erfanifar, R. (2022). An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 8-19. doi: 10.52547/CMCMA.1.2.8

MLA

Erfanifar, R. . "An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 8-19. doi: 10.52547/CMCMA.1.2.8

HARVARD

Erfanifar, R. (2022). 'An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 8-19. doi: 10.52547/CMCMA.1.2.8

CHICAGO

R. Erfanifar, "An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 8-19, doi: 10.52547/CMCMA.1.2.8

VANCOUVER

Erfanifar, R. An efficient iterative method for finding the Moore-Penrose and Drazin inverse of a matrix. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022; 1(2): 8-19. doi: 10.52547/CMCMA.1.2.8

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