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A m-weak group inverse for rectangular matrices
- Publication Year :
- 2023
-
Abstract
- The purpose of this paper is to extend the definition of the m-weak group inverse from a square matrix to a rectangular matrix, called the W-weighted m-weak group inverse. This new generalized inverse is also a generalization of the weak group inverse, generalized group inverse, Drazin inverse, weighted weak group inverse and W-weighted Drazin inverse. Furthermore, we discuss some properties, characterizations and representations of the W-weighted m-weak group inverse, as well as its applications in solving the matrix equation. Some of the results available in the paper not only recover a few results of the m-weak group inverse, weighted weak group, etc., but also some of them are novel for these generalized inverses.<br />Comment: 25 pages, 0 figure
- Subjects :
- Mathematics - Rings and Algebras
Mathematics - Functional Analysis
15A09, 15A24
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.10704
- Document Type :
- Working Paper