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
From page
53
To page
66
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
Record number
2768893
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