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

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

Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 8-19
  • Receive Date: 28 July 2022
  • Revise Date: 26 August 2022
  • Accept Date: 21 September 2022
  • First Publish Date: 26 September 2022