THE EXPLICIT EXPRESSION OF THE DRAZIN INVERSE OF SUMS OF TWO MATRICES AND ITS APPLICATION

Authors

  • Xiaoji Liu Guangxi University for Nationalities - College of Science
  • Liang Xu Guangxi University for Nationalities - College of Science
  • Yaoming Yu Shanghai Normal University - College of Education

Keywords:

Drazin inverse, group inverse, representation, block matrix, idempotent matrix

Abstract

In this paper, we give explicit expressions of (P \(\pm\) Q)d of two matrices P and Q, in terms of P, Q, Pd and Qd, under the condition that PQ = P2, and apply the result to finding an explicit representation for the Drazin inverse of a 2 x 2 block matrix

\(\begin{bmatrix} A & B \\ C & D \\ \end{bmatrix}\) under some conditions.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Liu, X., Xu, L., & Yu, Y. (2014). THE EXPLICIT EXPRESSION OF THE DRAZIN INVERSE OF SUMS OF TWO MATRICES AND ITS APPLICATION. Italian Journal of Pure and Applied Mathematics, 33, 45–62. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6284

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Xiaoji Liu, Liang Xu, Yaoming Yu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)