10 citations · 14 across the 11 of their papers we have counts for
12 papers
Graphs of Moore-Penrose inverse of matrices possessing the treeangle property
A. M. Encinas, K. Kranthi Priya, K. C. Sivakumar
It is known that the inverse of an invertible real square matrix satisfying the treeangle property, is a treediagonal matrix. A converse statement also holds. We show that the verb…
Kemeny's constant via matrix compression and eigenvalue interlacing
A. Abiad, Á. Carmona, A. M. Encinas +3
Kemeny's constant quantifies the expected time for a random walk to reach a randomly chosen vertex, capturing global properties of a Markov chain. We develop a matrix-analytic fram…
The -matrix group inverse problem for recoverable complete networks
Angeles Carmona, Andrés M. Encinas, Sweta Patra +1
This study investigates the conditions under which the group inverse of a singular, irreducible, symmetric -matrix retains the -matrix property. By concentrating on a structu…
A Spectral Approach to Kemeny's Constant
Aida Abiad, Ángeles Carmona, Andrés M. Encinas +2
Kemeny's constant quantifies the expected time for a random walk to reach a randomly chosen vertex, providing insight into the global behavior of a Markov chain. We present a novel…
Stable recovery of piecewise constant conductance on spider networks
Ángeles Carmona, Andrés M. Encinas, María José Jiménez +1
We address the discrete inverse conductance problem for well-connected spider networks; that is, to recover the conductance function on a well-connected spider network from the Dir…
On an Analogue of a Property of Singular -matrices, for the Lyapunov and the Stein Operators
A. M. Encinas, Samir Mondal, K. C. Sivakumar
In the setting of real square matrices, it is known that, if is a singular irreducible -matrix, then the only nonnegative vector that belongs to the range space of is th…
The -matrix group inverse problem for distance-biregular graphs
Aida Abiad, Ángeles Carmona, Andrés M. Encinas +1
In this paper we provide the group inverse of the combinatorial Laplacian matrix of distance-biregular graphs using the so-called equilibrium measures for sets obtained by deleting…
Using digraphs to compute determinant, permanent and Drazin inverse of circulant matrices with two parameters
Andrés M. Encinas, Daniel A. Jaume, Cristian Panelo +1
This work presents closed formulas for determinant, permanent, inverse, and Drazin inverse of circulant matrices with two non-zero coefficients.
Explicit inverse of nonsingular Jacobi matrices
A. M. Encinas, M. J. Jiménez
We present here the necessary and sufficient conditions for the invertibility of tridiagonal matrices, commonly named Jacobi matrices, and explicitly compute their inverse. The tec…
Floquet Theory for Second Order Linear Homogeneous Difference Equations
Andrés M. Encinas, M. José Jiménez
In this paper we provide a version of the Floquet's theorem to be applied to any second order difference equations with quasi-periodic coefficients. To do this we extend to second…
Green Operators of Networks with a new vertex
A. Carmona, A. M. Encinas, S. Gago +1
Any elliptic operator defines an automorphism on the orthogonal subspace to the eigenfunctions associated with the lowest eigenvalue, whose inverse is the orthogonal Green operator…
The inverse matrix of some circulant matrices
A. Carmona, A. M. Encinas, S. Gago +2
We present here necessary and sufficient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute th…