G-Drazin inverse combined with inner inverse
LINEAR & MULTILINEAR ALGEBRA(2024)
Abstract
This article 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.
MoreTranslated text
Key words
Drazin inverse,outer inverse,inner inverse,G-Drazin inverse,GDMP-inverse
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined