Generalized core inverses of matrices
Sanzhang Xu, Jianlong Chen, Julio Benítez, Dingguo Wang · Miskolc mathematical notes/Mathematical notes · 2019
In this paper, we introduce two new generalized inverses of matrices, namely, the hi; mi-core inverse and the .j;m/-core inverse.The hi; mi-core inverse of a complex matrix extends the notions of the core inverse defined by Baksalary and Trenkler [1] and the core-EP inverse defined by Manjunatha Prasad and Mohana [10].The .j; m/-core inverse of a complex matrix extends the notions of the core inverse and the DMP-inverse defined by Malik and Thome [9].Moreover, the formulae and properties of these two new concepts are investigated by using matrix decompositions and matrix powers.