81 citations · 84 across the 7 of their papers we have counts for
7 papers
Continuity of the core-EP inverse and its applications
Yuefeng Gao, Jianlong Chen, Pedro Patricio
In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical…
Representations and properties of the W-weighted core-EP inverse
Yuefeng Gao, Jianlong Chen, Pedro Patricio
In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and Thome. Several computational representations of the weighted core-EP inverse are obtain…
Characterizations and representations of core and dual core inverses
Jianlong Chen, Huihui Zhu, Pedro Patricio +1
In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are…
Centralizer's applications to the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio +1
In this paper, we first prove that the absorption law for one-sided inverses along an element holds, deriving the absorption law for the inverse along an element. We then apply thi…
Reverse order law for the inverse along an element
Huihui Zhu, Jianlong Chen, Pedro Patricio
In this paper, we introduce a new concept called left (right) g-MP inverse in a -monoid. The relations of this type of generalized inverse with left inverse along an element are…
The Moore-Penrose inverse of differences and products of projectors in a ring with involution
Huihui Zhu, Jianlong Chen, Pedro Patricio
In this paper, we study the Moore-Penrose inverses of differences and products of projectors in a ring with involution. Also, some necessary and sufficient conditions for the exist…
The inverse along a product and its applications
Huihui Zhu, Pedro Patricio, Jianlong Chen
In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we…