G-Drazin inverse combined with inner inverse
<|reference_start|>G-Drazin inverse combined with inner inverse: This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of these inverses. The explicit expressions of these inverses have been established via core-nilpotent decomposition. Further, we introduce a binary relation for GD1 inverse and 1GD inverse, along with a few derived properties.<|reference_end|>
@article{maharanaa2024g-drazin,
    title={G-Drazin inverse combined with inner inverse},
    author={G. Maharanaa, J. K. Sahooa, Nestor Thome},
    journal={arXiv preprint arXiv:2402.09699},
    year={2024},
    doi={10.1080/03081087.2024.2316786},
    archivePrefix={arXiv},
    eprint={2402.09699},
    primaryClass={math.NA cs.NA}
}