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 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 ...
[EN] This paper deals with autonomous linear systems and the sharp partial order. Given an autonomous linear system, we find another system, which is related to the first one by means of the sharp partial order. This ...
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] The Drazin inverse of a matrix has been used in the literature to define a pre-order on the
set of square complex matrices. In this paper we analyze new binary relations defined on
the set of rectangular complex ...