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Generalized core inverses of matrices
- Source :
- RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia, instname
- Publication Year :
- 2019
- Publisher :
- Mathematical Notes, 2019.
-
Abstract
- In this paper, we introduce two new generalized inverses of matrices, namely, the $\bra{i}{m}$-core inverse and the $\pare{j}{m}$-core inverse. The $\bra{i}{m}$-core inverse of a complex matrix extends the notions of the core inverse defined by Baksalary and Trenkler \cite{BT} and the core-EP inverse defined by Manjunatha Prasad and Mohana \cite{MM}. The $\pare{j}{m}$-core inverse of a complex matrix extends the notions of the core inverse and the ${\rm DMP}$-inverse defined by Malik and Thome \cite{MT}. Moreover, the formulae and properties of these two new concepts are investigated by using matrix decompositions and matrix powers.<br />19 pages
- Subjects :
- Control and Optimization
Library science
0102 computer and information sciences
01 natural sciences
FOS: Mathematics
Natural science
Discrete Mathematics and Combinatorics
0101 mathematics
China
Mathematics
Numerical Analysis
Algebra and Number Theory
010102 general mathematics
Foundation (engineering)
Mathematics - Rings and Algebras
Core-EP inverse
Scholarship
Rings and Algebras (math.RA)
010201 computation theory & mathematics
Core (graph theory)
(j, m)-core inverse
DMP-inverse
< i, m >-core inverse
MATEMATICA APLICADA
Core inverse
Analysis
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....7a6e90e52bcd51a71fe0f6ec3907bf77