Properties of core-EP matrices and binary relationships
arXiv:2407.02602 · doi:10.1007/s40314-024-02836-x
Abstract
In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that in the class of core-EP matrices, DMP, MPD, and Drazin inverses are the same. Moreover, DMP and MPD binary relation orders are introduced and the relationship between these orders and other binary relation orders are considered.
20 pages