This paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, ...
Gareis, María Inés; Lattanzi, Marina; Thome, Néstor(Informa UK (National Inquiry Services Center), 2017)
[EN] In this paper, {1}-inverses of a nilpotent matrix as well as matrices above a given nilpotent matrix under the minus partial order are characterized.
In this paper, we investigate new binary relations defined on the set of rectangular complex matrices based on the weighted Drazin inverse and give some characterizations of them. These relations become pre-orders and ...
[EN] In this paper, the minus matrix partial order is considered to introduce the concept of minus partial ordered control systems. The transmission of the reachability property under this binary relation is investigated. ...
[EN] In this paper, the most usual matrix partial orders are considered on the ring of real matrices. These orders are studied on at most index 1 matrices having nonnegative group projector by using a specific block ...
Ferreyra, D. E.; Lattanzi, M.; Levis, F. E.; Thome, Néstor(University of Wyoming Libraries, 2020-02)
[EN] G-Drazin inverses and the G-Drazin partial order for square matrices have been both recently introduced by Wang and Liu. They proved the following implication: If A is below B under the G-Drazin partial order, then ...
Lebtahi Ep-Kadi-Hahifi, Leila; Patricio, Pedro; Thome, Néstor(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2014)
In this paper we introduce a new partial order on a ring, namely the diamond
partial order. This order is an extension of a partial order defined in a matrix
setting in [J.K. Baksalary and J. Hauke, A further algebraic ...
[EN] This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we ...