G-Drazin inverse combined with inner inverse
Numerical Analysis
2024-02-16 v1 Numerical Analysis
Abstract
This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of these inverses. The explicit expressions of these inverses have been established via core-nilpotent decomposition. Further, we introduce a binary relation for GD1 inverse and 1GD inverse, along with a few derived properties.
Keywords
Cite
@article{arxiv.2402.09699,
title = {G-Drazin inverse combined with inner inverse},
author = {G. Maharanaa and J. K. Sahooa and Nestor Thome},
journal= {arXiv preprint arXiv:2402.09699},
year = {2024}
}
Comments
16 pages, Linear and Multilinear Algebra (2024)