Properties of core-EP matrices and binary relationships
<|reference_start|>Properties of core-EP matrices and binary relationships: In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with $A$ 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.<|reference_end|>
@article{kheirandish2024properties,
    title={Properties of core-EP matrices and binary relationships},
    author={Ehsan Kheirandish, Abbas Salemi, N'estor Thome},
    journal={arXiv preprint arXiv:2407.02602},
    year={2024},
    doi={10.1007/s40314-024-02836-x},
    archivePrefix={arXiv},
    eprint={2407.02602},
    primaryClass={math.NA cs.NA}
}