Title of article :
Some Formulas on the Drazin Inverse for the Sum of Two Matrices and Block Matrices
Author/Authors :
Shakoor ، Abdul Department of Mathematics - Khwaja Fareed University of Engineering and Information Technology , Ali ، Ilyas Basic Sciences and Humanities Department - University of Engineering and Technology Lahore, Faisalabad Campus , Wali ، Samad School of Information and Communication Engineering - University of Electronic Science and Technology of China , Rehman ، Abdur Basic Sciences and Humanities Department - University of Engineering and Technology Lahore, Faisalabad Campus
Abstract :
In this article, we construct new explicit formulas for the Drazin inverse of P + Q under some conditions, where P and Q are singular square matrices over skew fields. These formulas generalize some recent results in literature. By using these formulas, we establish new results for the Drazin inverse of 2 × 2 block matrix under some assumptions over skewfields. Finally, illustrative numerical examples over skewfields are presented to demonstrate results of this paper.
Keywords :
Drazin inverse , Block matrix , Generalized Schur complement
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
