MMN-2594
Generalized core inverses of matrices
Sanzhang Xu; Jianlong Chen; Julio BenÃtez; Dingguo Wang;Abstract
In this paper, we introduce two new generalized inverses of matrices, namely,
the -core inverse and the (j,m)-core inverse. The -core inverse of a complex matrix extends the notions of the core inverse
and the core-EP inverse. The (j,m)-core inverse of a complex matrix extends
the notions of the core inverse and the DMP-inverse. Moreover, the formulae and properties of these two new concepts are investigated by using matrix decompositions and matrix powers.
Vol. 20 (2019), No. 1, pp. 565-584