Title of article :
The CEPGD-Inverse for Square Matrices
Author/Authors :
Panda ، Saroja Kumar Department of Mathematics - BITS Pilani K.K. Birla Goa Campus , Sahoo ، Jajati Keshari Department of Mathematics - BITS Pilani K.K. Birla Goa Campus , Behera ، Ratikanta Department of Computational and Data Sciences - Indian Institute of Science , Stanimirović ، Predrag S. Faculty of Sciences and Mathematics - University of Niš , Mosić ، Dijana Faculty of Sciences and Mathematics - University of Niš , Stupina ، Alena A. Laboratory “Hybrid Methods of Modelling and Optimization in Complex Systems” - Siberian Federal University
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.
Keywords :
Generalized inverse , Moore–Penrose inverse , Core , EP inverse , G , Drazin inverse , Matrix partial ordering
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
