21 citations · 162 across the 25 of their papers we have counts for
5 papers · 1 filter
On the solution of a quadratic vector equation arising in Markovian Binary Trees
Dario A. Bini, Beatrice Meini, Federico Poloni
We present some advances, both from a theoretical and from a computational point of view, on a quadratic vector equation (QVE) arising in Markovian Binary Trees. Concerning the the…
The Padé iterations for the matrix sign function and their reciprocals are optimal
Federico Greco, Bruno Iannazzo, Federico Poloni
It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Padé iterations and their reciprocals are the unique rationals with the…
A Subspace Shift Technique for Nonsymmetric Algebraic Riccati Equations
Bruno Iannazzo, Federico Poloni
The worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M-matrix occurs when the corresponding linearizing…
A Perron iteration for the solution of a quadratic vector equation arising in Markovian Binary Trees
Beatrice Meini, Federico Poloni
We propose a novel numerical method for solving a quadratic vector equation arising in Markovian Binary Trees. The numerical method consists in a fixed point iteration, expressed b…
Quadratic Vector Equations
Federico Poloni
We study in an unified fashion several quadratic vector and matrix equations with nonnegativity hypotheses. Specific cases of such problems (QBD equations, nonsymmetric algebraic R…