Title of article :
Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices
Author/Authors :
Mortezaei ، Mahdiyeh Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Aghamollaei ، Gholamreza Department of Pure Mathematics - Faculty of Mathematics and Computer, Mahani Mathematical Research Institute - Shahid Bahonar University of Kerman
Abstract :
In this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse andthe Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated. Moreover, some results about the Moore-Penrose inverse, the Drazin inverse and the numerical range of some reciprocal matrices are obtained. In particular, the relations between reciprocal matrices, Drazin-Dagger matrices and star order are established. Also, some properties of the generalized inverses of the conjugate EP matrices are studied. To illustrate the results, some numerical examples are also given.
Keywords :
Moore , Penrose inverse , Drazin inverse , reciprocal matrices , numerical range , conjugate EP matrices
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
