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

Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 8-19

Document Type : Regular paper

Author

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

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

  • Receive Date 28 July 2022
  • Revise Date 26 August 2022
  • Accept Date 21 September 2022