Generalized Jacobson's lemma for generalized Drazin inverses
Huanyin Chen, Marjan Sheibani
TL;DR
This paper extends Jacobson's lemma to generalized Drazin inverses, providing new theoretical results that build upon previous work by Yan, Zeng, and Zhu in the field of linear algebra.
Contribution
It introduces a generalized Jacobson's lemma specifically for generalized Drazin inverses, expanding the theoretical framework of inverse calculations.
Findings
New generalized Jacobson's lemma established
Extends previous results by Yan, Zeng, and Zhu
Provides theoretical tools for generalized Drazin inverses
Abstract
We present new generalized Jacobson's lemma for generalized Drazin inverses. This extend the main results on g-Drazin inverse of Yan, Zeng and Zhu (Linear Multilinear Algebra, {\bf 68}(2020), 81--93).
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Algebraic structures and combinatorial models