16 citations · 16 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Revisiting the matrix polynomial greatest common divisor
Vanni Noferini, Paul Van Dooren
In this paper we revisit the greatest common right divisor (GCRD) extraction from a set of polynomial matrices $P_i(λ)\in \F[\la]^{m_i\times n}$, with coefficients i…
Nearest -stable matrix via Riemannian optimization
Vanni Noferini, Federico Poloni
We study the problem of finding the nearest -stable matrix to a certain matrix , i.e., the nearest matrix with all its eigenvalues in a prescribed closed set . Distances a…
Wilkinson's bus: Weak condition numbers, with an application to singular polynomial eigenproblems
Martin Lotz, Vanni Noferini
We propose a new approach to the theory of conditioning for numerical analysis problems for which both classical and stochastic perturbation theory fail to predict the observed acc…