Federico Giovanni Poloni

Teaching activity

Teaching responsibility for modules/courses

Teaching register

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Student consultation hours

Mode of office hours: Contattare il docente per verificare la disponibilità e fissare un appuntamento, sia per il ricevimento che per le attività di tutorato.

Location: Ufficio del docente, o piattaforma informatica da concordare.

Time: Su appuntamento

Research interests

I am active in research in numerical linear algebra. My interests include:

theoretical properties of matrix equations, especially quadratic matrix equations and algebraic Riccati equations;
algorithms for their numerical solution, especially direct matrix iterations such as cyclic reduction and doubling algorithms;
applications in which they arise: applied probability, queuing theory, control theory, econometrics…
structural properties of matrices: entrywise nonnegativity, M-matrices, Hamiltonian and symplectic matrices, rank and displacement structure…

 
 

Publications

• Deflating subspaces of T-palindromic pencils and algebraic T-Riccati equations (Iannazzo, B.; Meini, B.; Poloni, F. - 2024 - 1.1 Articolo in rivista)
• A general framework for the rigorous computation of invariant densities and the coarse-fine strategy (Galatolo, S.; Monge, M.; Nisoli, I.; Poloni, F. - 2023 - 1.1 Articolo in rivista)
• An edge centrality measure based on the Kemeny constant (Altafini, D.; Bini, D. A.; Cutini, V.; Meini, B.; Poloni, F. - 2023 - 1.1 Articolo in rivista)
• On the effectiveness of random walks for modeling epidemics on networks (Kim, Sooyeong; Breen, Jane; Dudkina, Ekaterina; Poloni, Federico; Crisostomi, Emanuele - 2023 - 1.1 Articolo in rivista)
• Markov-Chain based centralities and Space Syntax’ Angular Analysis: an initial overview and application (Altafini, D.; Poloni, F.; Meini, B.; Bini, D.; Cutini, V. - 2022 - 4.1 Contributo in Atti di convegno)
• A continuation method for computing the multilinear PageRank (Bucci, A.; Poloni, F. - 2022 - 1.1 Articolo in rivista)
• Comparison theorems for splittings of M-matrices in [block] Hessenberg form (Gemignani, L.; Poloni, F. - 2022 - 1.1 Articolo in rivista)
• Nearest O -stable matrix via Riemannian optimization (Noferini, V.; Poloni, F. - 2021 - 1.1 Articolo in rivista)
• Preface. Stochastic Models (Hautphenne, S.; O'Reilly, M. M.; Poloni, F. - 2020 - 1.1 Articolo in rivista)
• Iterative and doubling algorithms for Riccati-type matrix equations: A comparative introduction (Poloni, F. - 2020 - 1.1 Articolo in rivista)

All publications by Federico Giovanni Poloni on ARPI, the Research Archive of the University of Pisa