5 papers
Real tensor factorizations and generalized inverses under the -product
Faustino Maciala, Cláudia M. Araújo, Pedro PatrÃcio
The algebraic theory of third-order tensors under the -product is naturally formulated over the complex field via Fourier block diagonalization. However, many applications requi…
On the Drazin Index of an Anti-Triangular Block Matrix
Faustino Maciala, Xavier Mary, C. Mendes Araújo +1
The Drazin index is a fundamental invariant in the analysis of singular matrices and their generalized inverses. While sharp results are available for block triangular matrices, th…
Drazin Inverses and Walk Structure of Oriented Dutch Windmill Graphs
C. Mendes Araújo, Faustino Maciala, Pedro PatrÃcio
We investigate the Drazin invertibility of adjacency matrices associated with a class of oriented graphs known as oriented Dutch windmill graphs. By analyzing walks of prescribed l…
Core EP, Dual Core EP and Composite Generalized Inverses for a Class of Structured Matrices
Faustino Maciala, C. Mendes Araújo, Pedro PatrÃcio
We study generalized inverses for matrices associated with double star digraphs. Explicit block formulas and existence criteria are obtained for core, dual core, core EP, and dual…
On generalized inverses of matrices associated with certain graph classes
Cláudia M. Araújo, Faustino A. Maciala, Pedro PatrÃcio
We investigate generalized inverses of matrices associated with two classes of digraphs: double star digraphs and D-linked stars digraphs. For double star digraphs, we determine th…