In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short,
WC inverse) of a complex square matrix. This new inverse extends the notion of the core …

This paper deals with new generalized inverses of rectangular complex matrices, namely
1MP and MP1-inverses. They are constructed from oblique projectors represented by means …

Let A and E be n× n given complex matrices. This paper provides a necessary and sufficient
condition for the solvability to the matrix equation system given by AXA= AEA and A k EAX …

[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 …

This paper deals with left star, star, and core partial orders for complex matrices. For each
partial order, we present an order-isomorphism between the down-set of a fixed matrix B …

A bounded operator $ T $ on a finite or infinite--dimensional Hilbert space is called a disjoint
range (DR) operator if $ R (T)\cap R (T^*)=\{0\} $, where $ T^* $ stands for the adjoint of $ T …

Measuring of the productivity of work in civil engineering, as a very complex and long lasting
process because of the peculiarities of construction activity is not sufficient per se; it is …

[CA] L'Analisi Matricial proporciona eines molt útils en la Matematica Aplicada. La teoria de
matrius inverses generalitzades constitueix una d'aquestes eines. La seua aplicació a altres …

1.1 Introducción iste tr jo se enm r en el enálisis w tri i lF e definen e investig n nuev s inverE
ss gener liz d sD y se introdu en yr teriz n nuevos órdenes pri les definidos p rtir de lgun s de …

A matrix A− is a generalized inverse of matrix A if AA− A= A holds. Let G be a function which
assigns to each matrix A the specific subset of the set of all generalized inverses of A. Then …