The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products

By using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law (AB){1,3M,4K}=B{1,3N,4K}A{1,3M,4N} are presented.

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Publication Details

Journal
Axioms
Published
2025-04-30
DOI
https://doi.org/10.3390/axioms14050344
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00

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article

The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products

Zhiping Xiong, Yingying Qin, Baifeng Qiu
Axioms
Matrix Theory and Algorithms
article

The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products

Zhiping Xiong, Yingying Qin, Baifeng Qiu
article en

Abstract

By using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law (AB){1,3M,4K}=B{1,3N,4K}A{1,3M,4N} are presented.

AxiomsVol. 14(5)
Wuyi University (CN)
Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 90%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products — Zhiping Xiong, Yingying Qin, et al. · Axioms (2025) | TGRS Research Map | TGRS