7 citations · 11 across the 7 of their papers we have counts for
8 papers
On the Optimal Laplacian Jordan Structure for Synchronizability
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, for a network of differential equations with a prescribed graph structure, our goal is to show how to select the Laplacian of the network in order to obtain the most…
Generic Cuspidal Points and Their Localization
Luca Dieci, Alessandro Pugliese
In this work we consider generic coalescing of eigenvalues of smooth complex valued matrix functions depending on 2 parameters. We call generic cuspidal points the parameter values…
On an inverse tridiagonal eigenvalue problem and its application to synchronization of network motion
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, motivated by the study of stability of the synchronous orbit of a network with tridiagonal Laplacian matrix, we first solve an inverse eigenvalue problem which builds…
Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence
Jean-Philippe Lessard, Alessandro Pugliese
This paper introduces a novel computer-assisted method for detecting and constructively proving the existence of cusp bifurcations in differential equations. The approach begins wi…
SVD, joint-MVD, Berry phase, and generic loss of rank for a matrix valued function of 2 parameters
Luca Dieci, Alessandro Pugliese
In this work we consider generic losses of rank for complex valued matrix functions depending on two parameters. We give theoretical results that characterize parameter regions whe…
Forming a symmetric, unreduced, tridiagonal matrix with a given spectrum
Luca Dieci, Alessandro Pugliese
Given a set of distinct real numbers, our goal is to form a symmetric, unreduced, tridiagonal, matrix with those numbers as eigenvalues. We give an algorithm which is a stable…
Takagi factorization of matrices depending on parameters and locating degeneracies of singular values
Luca Dieci, Alessandra Papini, Alessandro Pugliese
In this work we consider the Takagi factorization of a matrix valued function depending on parameters. We give smoothness and genericity results and pay particular attention to the…
Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters
Luca Dieci, Alessandra Papini, Alessandro Pugliese
In this work, we consider symmetric positive definite pencils depending on two parameters. That is, we are concerned with the generalized eigenvalue problem , where …