16 citations · 48 across the 45 of their papers we have counts for
6 papers · 1 filter
The Smith form of Sylvester and Bézout matrices for zero-dimensional ideals
Etna Lindy, Vanni Noferini
Let be a field and let be such that the ideal is zero-dimensional. We study the Sylvester and Bézout resultant polynomi…
The Jordan canonical form of the Fréchet derivative of a matrix function and the bivariate Jordan problem
Vanni Noferini
Let be an algebraically closed field of characteristic . Given a square matrix and a polynomial , we determine…
Eventual periodicity of the Smith forms of integer matrix powers
Vanni Noferini
We prove that the Smith forms of the powers of an integer square matrix behave in an eventually periodic manner. More precisely, if denotes the Smith form of $M \i…
Nearest matrix with multiple eigenvalues by Riemannian optimization
Vanni Noferini, Lauri Nyman, Federico Poloni
Given a square complex matrix , we tackle the problem of finding the nearest matrix with multiple eigenvalues or, equivalently when had distinct eigenvalues, the nearest def…
On rank-2 Nonnegative Matrix Factorizations and their variants
Etna Lindy, Vanni Noferini, Paul Van Dooren
We consider the problem of finding the best nonnegative rank-2 approximation of an arbitrary nonnegative matrix. We first revisit the theory, including an explicit parametrization…
Finding the nearest -stable pencil with Riemannian optimization
Vanni Noferini, Lauri Nyman
This paper considers the problem of finding the nearest -stable pencil to a given square pencil , where a pencil is called -stable if it is…