3 citations · 5 across the 5 of their papers we have counts for
7 papers
Efficient Analysis of Chemical Reaction Networks Dynamics based on Input-Output Monotonicity
Lucia Nasti, Roberta Gori, Paolo Milazzo +1
Motivation: A Chemical Reaction Network (CRN) is a set of chemical reactions, which can be very complex and difficult to analyze. Indeed, dynamical properties of CRNs can be descri…
A continuation method for computing the multilinear Pagerank
Alberto Bucci, Federico Poloni
The multilinear Pagerank model [Gleich, Lim and Yu, 2015] is a tensor-based generalization of the Pagerank model. Its computation requires solving a system of polynomial equations…
Iterative and doubling algorithms for Riccati-type matrix equations: a comparative introduction
Federico Poloni
We review a family of algorithms for Lyapunov- and Riccati-type equations which are all related to each other by the idea of \emph{doubling}: they construct the iterate $Q_k = X_{2…
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…
When is a matrix unitary or Hermitian plus low rank?
Gianna M. Del Corso, Federico Poloni, Leonardo Robol +1
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full eigenvalue decomposition can be stably computed in quadratic computing com plexity…
Componentwise accurate Brownian motion computations using Cyclic Reduction
Giang T. Nguyen, Federico Poloni
Markov-modulated Brownian motion is a popular tool to model continuous-time phenomena in a stochastic context. The main quantity of interest is the invariant density, which satisfi…