The Core Inverse of the Anti-Triangular Block Matrix over Rings

In this paper, we investigates the core inverse of the anti-triangular block matrix $M=\\left( \\begin{array}{cc} A&B\\\\ C&0 \\end{array} \\right)$ over a ring. We derive new explicit representations for the core inverse of $M$ under specific conditions. In particular, the EP property of $M$ involving two identical subblocks is investigated.

Authors

Publication Details

Journal
Preprints.org
Published
2026-09-18
DOI
https://doi.org/10.20944/preprints202609.1527.v1
Primary Topic
Matrix Theory and Algorithms
Type
preprint
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preprint

The Core Inverse of the Anti-Triangular Block Matrix over Rings

Huanyin Chen
Preprints.org
Matrix Theory and Algorithms
preprint

The Core Inverse of the Anti-Triangular Block Matrix over Rings

Huanyin Chen
preprint en

Abstract

In this paper, we investigates the core inverse of the anti-triangular block matrix $M=\left( \begin{array}{cc} A&B\\ C&0 \end{array} \right)$ over a ring. We derive new explicit representations for the core inverse of $M$ under specific conditions. In particular, the EP property of $M$ involving two identical subblocks is investigated.

Preprints.org
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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The Core Inverse of the Anti-Triangular Block Matrix over Rings — Huanyin Chen · Preprints.org (2026) | TGRS Research Map | TGRS