# Publications

The file provided in the [pdf] link is the most recent version that I can legally publish here (which is not always the final version).

As is common practice in mathematics, the author order is usually alphabetical and does not reflect a difference in contribution.

Recent Preprints
For more up-to-date information, check my arXiv author page or subscribe to its atom feed.
3 results
 2018 [3] Doubling Algorithms for Stationary Distributions of Fluid Queues: A Probabilistic Interpretation (Nigel Bean, Giang T. Nguyen, Federico Poloni), 2018. 2017 [2] Perron-based algorithms for the multilinear pagerank (Beatrice Meini, Federico Poloni), 2017. [1] Nonsingular systems of generalized Sylvester equations: an algorithmic approach (Fernando De Terán, Bruno Iannazzo, Federico Poloni, Leonardo Robol), 2017.
Journal Articles
32 results
 2019 [32] Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning (Elias Jarlebring, Federico Poloni), In Appl. Numer. Math., volume 135, 2019. 2018 [31] Closed-form results for vector moving average models with a univariate estimation approach (Federico Poloni, Giacomo Sbrana), In Econometrics and Statistics, 2018. [30] Corrigendum to Solvability and uniqueness criteria for generalized Sylvester-type equations'' (Fernando De Terán, Bruno Iannazzo, Federico Poloni, Leonardo Robol), In Linear Algebra Appl., volume 542, 2018. [29] Solvability and uniqueness criteria for generalized Sylvester-type equations (Fernando De Terán, Bruno Iannazzo, Federico Poloni, Leonardo Robol), In Linear Algebra Appl., volume 542, 2018. 2017 [28] Counting Fiedler pencils with repetitions (Federico Poloni, Gianna M. Del Corso), In Linear Algebra Appl., volume 532, 2017. [27] Methods for verified stabilizing solutions to continuous-time algebraic Riccati equations (Tayyebe Haqiri, Federico Poloni), In J. Comput. Appl. Math., volume 313, 2017. [26] Mutual Visibility by Luminous Robots Without Collisions (Giuseppe Antonio Di Luna, Paola Flocchini, Sruti Gan Chaudhuri, Federico Poloni, Nicola Santoro, Giovanni Viglietta), In Information and Computation, volume 254, 2017. 2016 [25] Multivariate trend-cycle extraction with the Hodrick-Prescott filter (Federico Poloni, Giacomo Sbrana), In Macroeconomic Dynamics, 2016. [24] Principal pivot transforms of quasidefinite matrices and semidefinite Lagrangian subspaces (Federico Poloni, Nataša Strabi\'c), In Electron. J. Linear Algebra, volume 31, 2016. [23] A structure-preserving doubling algorithm for Lur'e equations (Federico Poloni, Timo Reis), In Numer. Linear Algebra Appl., volume 23, 2016. [22] An inverse-free ADI algorithm for computing Lagrangian invariant subspaces (Volker Mehrmann, Federico Poloni), In Numer. Linear Algebra Appl., volume 23, 2016. 2015 [21] A note on forecasting demand using the multivariate exponential smoothing framework (Federico Poloni, Giacomo Sbrana), In Int. J. of Prod. Econ., volume 162, 2015. [20] Duality of matrix pencils, Wong chains and linearizations (Vanni Noferini, Federico Poloni), In Linear Algebra Appl., volume 471, 2015. 2014 [19] Feasible generalized least squares estimation of multivariate GARCH(1,1) models (Federico Poloni, Giacomo Sbrana), In J. Multivariate Anal., volume 129, 2014. [18] Componentwise accurate fluid queue computations using doubling algorithms (Giang T. Nguyen, Federico Poloni), In Numer. Math., volume 130, 2014. 2013 [17] A closed-form estimator for the multivariate GARCH $(1,1)$ model (Giacomo Sbrana, Federico Poloni), In J. Multivariate Anal., volume 120, 2013. [16] An algorithm for solving systems of quadratic equations in branching processes (Federico Poloni), In Boll. Unione Mat. Ital. (9), volume 6, 2013. [15] Quadratic vector equations (Federico Poloni), In Linear Algebra and its Applications, volume 438, 2013. [14] Using permuted graph bases in $\mathcal{ H}_\infty$ control (Volker Mehrmann, Federico Poloni), In Automatica J. IFAC, volume 49, 2013. [13] A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems (Volker Mehrmann, Federico Poloni), In Numer. Linear Algebra Appl., John Wiley & Sons, Ltd, volume 20, 2013. [12] A subspace shift technique for nonsymmetric algebraic Riccati equations associated with an M-matrix (Bruno Iannazzo, Federico Poloni), In Numer. Linear Algebra Appl., John Wiley & Sons, Ltd, volume 20, 2013. 2012 [11] A Deflation Approach for Large-Scale Lur'e Equations (F. Poloni, T. Reis), In SIAM J. Matrix Anal. Appl., volume 33, 2012. [10] Doubling Algorithms with Permuted Lagrangian Graph Bases (V. Mehrmann, F. Poloni), In SIAM J. Matrix Anal. Appl., volume 33, 2012. [9] The Padé iterations for the matrix sign function and their reciprocals are optimal (Federico Greco, Bruno Iannazzo, Federico Poloni), In Linear Algebra Appl., volume 436, 2012. 2011 [8] A Perron iteration for the solution of a quadratic vector equation arising in Markovian binary trees (Beatrice Meini, Federico Poloni), In SIAM J. Matrix Anal. Appl., volume 32, 2011. [7] On the solution of a quadratic vector equation arising in Markovian binary trees (Dario A. Bini, Beatrice Meini, Federico Poloni), In Numer. Linear Algebra Appl., volume 18, 2011. 2010 [6] Constructing matrix geometric means (Federico Poloni), In Electron. J. Linear Algebra, volume 20, 2010. [5] A note on the $O(n)$-storage implementation of the GKO algorithm and its adaptation to Trummer-like matrices (Federico Poloni), In Numer. Algorithms, volume 55, 2010. [4] Transforming algebraic Riccati equations into unilateral quadratic matrix equations (Dario A. Bini, Beatrice Meini, Federico Poloni), In Numer. Math., volume 116, 2010. [3] An effective matrix geometric mean satisfying the Ando-Li-Mathias properties (Dario A. Bini, Beatrice Meini, Federico Poloni), In Math. Comp., volume 79, 2010. 2009 [2] Fast solution of a certain Riccati equation through Cauchy-like matrices (Dario A. Bini, Beatrice Meini, Federico Poloni), In Electron. Trans. Numer. Anal., volume 33, 2009. 2008 [1] A fast Newton's method for a nonsymmetric algebraic Riccati equation (Dario A. Bini, Bruno Iannazzo, Federico Poloni), In SIAM J. Matrix Anal. Appl., volume 30, 2008.
Books
1 result
 2011 [1] Algorithms for quadratic matrix and vector equations (Federico Poloni), Publications of the Scuola Normale Superiore, Pisa (distributed by Birkhäuser), volume 16, 2011. (Book based on my Ph.D. Thesis) [bibtex]
Software
1 result
 2012 [1] [bibtex]
Other Publications
6 results
 2016 [6] Componentwise accurate Brownian motion computations using Cyclic Reduction (Giang T. Nguyen, Federico Poloni), 2016. 2015 [5] Permuted Graph Matrices and Their Applications (Federico Poloni), Chapter in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory (Peter Benner, Matthias Bollhöfer, Daniel Kressner, Christian Mehl, Tatjana Stykel, eds.), Springer International Publishing, 2015. 2014 [4] The Mutual Visibility Problem for Oblivious Robots (Giuseppe Antonio Di Luna, Paola Flocchini, Federico Poloni, Nicola Santoro, Giovanni Viglietta), In Proceedings of the 26\textsuperscriptth Canadian Conference on Computational Geometry, 2014. 2013 [3] Enforcing solvability of a nonlinear matrix equation and estimation of multivariate ARMA time series (Tobias Brüll, Federico Poloni, Giacomo Sbrana, Christian Schröder), Technical report Matheon Preprint \#1027, DFG-Forschungszentrum Matheon, 2013. 2010 [2] Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms. (Dario A. Bini, Bruno Iannazzo, Beatrice Meini, Federico Poloni), Chapter in Matrix Methods: Theory, Algorithms and Applications (Vadim Olshevsky, Eugene Tyrtyshnikov, eds.), World Scientific Publishing, 2010. 2006 [1] A note on the location of polynomial roots (Dario A. Bini, Federico Poloni), 2006. (Never submitted to a peer-reviewed journal)
Theses
3 results
 2010 [3] Algorithms for quadratic matrix and vector equations (Federico Poloni), PhD thesis, Scuola Normale Superiore, Pisa, 2010. (Also published as book (see above). [errata]) 2007 [2] Metodi per la soluzione veloce di una classe di equazioni di Riccati algebriche (Federico Poloni), Master's thesis, Università di Pisa, 2007. 2005 [1] Fattorizzazione canonica e trasformata discreta di Fourier in un problema di teoria delle code (Federico Poloni), 2005.