Dario Bini

activity

20192022

most citedGeometric means of quasi-Toeplitz matrices

1 citations · 1 across the 3 of their papers we have counts for

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7 papers · 1 filter

math.NA2023

Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis

Dario A. Bini

This paper deals with the problem of numerically computing the roots of polynomials $p_{k} (x)$ , $k = 1, 2, \dots$ , of degree $n = 2^{k} - 1$ recursively defined by $p_{1} (x) = x + 1$ , $p_k(x)=xp_{k…

math.NA2022

An edge centrality measure based on the Kemeny constant

D. Altafini, D. A. Bini, V. Cutini +2

A new measure $c (e)$ of the centrality of an edge $e$ in an undirected graph $G$ is introduced. It is based on the variation of the Kemeny constant of the graph after removing the…

math.NA2021

Numerical solution of a matrix integral equation arising in Markov Modulated Lévy processes

Dario A. Bini, Guy Latouche, Beatrice Meini

Markov-modulated Lévy processes lead to matrix integral equations of the kind $A_{0} + A_{1} X + A_{2} X^{2} + A_{3} (X) = 0$ where $A_{0}$ , $A_{1}$ , $A_{2}$ are given matrix coefficients, while $A_{3} (X)$ …

math.NA2021★ 1 cited

Geometric means of quasi-Toeplitz matrices

Dario A. Bini, Bruno Iannazzo, Jie Meng

We study means of geometric type of quasi-Toeplitz matrices, that are semi-infinite matrices $A = (a_{i, j})_{i, j = 1, 2, \dots}$ of the form $A = T (a) + E$ , where $E$ represents a compact o…

math.NA2020

A family of fast fixed point iterations for M/G/1-type Markov chains

Dario Andrea Bini, Guy Latouche, Beatrice Meini

We consider the problem of computing the minimal nonnegative solution $G$ of the nonlinear matrix equation $X = \sum_{i = - 1}^{\infty} A_{i} X^{i + 1}$ where $A_{i}$ , for $i \geq - 1$ , are nonnega…

math.NA2019

A computational framework for two-dimensional random walks with restarts

Dario A. Bini, Stefano Massei, Beatrice Meini +1

The treatment of two-dimensional random walks in the quarter plane leads to Markov processes which involve semi-infinite matrices having Toeplitz or block Toeplitz structure plus a…