Version 1
: Received: 31 August 2024 / Approved: 2 September 2024 / Online: 2 September 2024 (10:52:12 CEST)
How to cite:
Chen, H. Representations of the G-drazin Inverse for Certain Anti-triangular Matrices. Preprints2024, 2024090090. https://doi.org/10.20944/preprints202409.0090.v1
Chen, H. Representations of the G-drazin Inverse for Certain Anti-triangular Matrices. Preprints 2024, 2024090090. https://doi.org/10.20944/preprints202409.0090.v1
Chen, H. Representations of the G-drazin Inverse for Certain Anti-triangular Matrices. Preprints2024, 2024090090. https://doi.org/10.20944/preprints202409.0090.v1
APA Style
Chen, H. (2024). Representations of the G-drazin Inverse for Certain Anti-triangular Matrices. Preprints. https://doi.org/10.20944/preprints202409.0090.v1
Chicago/Turabian Style
Chen, H. 2024 "Representations of the G-drazin Inverse for Certain Anti-triangular Matrices" Preprints. https://doi.org/10.20944/preprints202409.0090.v1
Abstract
We provide representations for the generalized Drazin inverse of an anti-triangular matrix of the form $\left( \begin{array}{cc} a&b\\ 1&0 \end{array} \right)$ in a Banach algebra $\mathcal{A}$, under the condition that $ab=ba$. Specifically, we present the representation of Drazin inverse for these types of anti-triangular matrices in Banach algebras.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
