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The CEPGD-Inverse for Square Matrices.
- Source :
-
Bulletin of the Iranian Mathematical Society . Dec2023, Vol. 49 Issue 6, p1-23. 23p. - Publication Year :
- 2023
-
Abstract
- This paper introduces a new class of generalized inverses for square matrices: core-EP G-Drazin (CEPGD) inverse. The CEPGD inverse is not unique and defined as a proper composition of the core-EP and the G-Drazin inverse. Representations of CEPGD inverses related to the core-nilpotent decomposition and the Hartwig–Spindelböck decomposition are established. The existence of CEPGD inverses as well as a few characterizations and representations of this inverse are discussed. In addition, we consider some additional properties of the CEPGD inverses through an induced binary relation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 49
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 173251443
- Full Text :
- https://doi.org/10.1007/s41980-023-00826-z