publications

publications by categories in reversed chronological order.

2024

  1. mln.png
    A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format
    Alberto Bucci, and Leonardo Robol
    SIAM J. Matrix Anal. Appl., 2024
    DOI
  2. tropical.png
    Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions
    Gian Negri Porzio, Vanni Noferini, and Leonardo Robol
    Math. Comp., 2024
    DOI
  3. casulli-robol-sylv.png
    An efficient block rational Krylov solver for Sylvester equations with adaptive pole selection
    A. Casulli, and L. Robol
    SIAM J. Sci. Comput., 2024
    DOI

2023

  1. expsums.png
    Low-rank tensor structure preservation in fractional operators by means of exponential sums
    Angelo Casulli, and Leonardo Robol
    BIT, 2023
    DOI
  2. qtinf.png
    Computing eigenvalues of semi-infinite quasi-Toeplitz matrices
    D. A. Bini, B. Iannazzo, B. Meini, and 2 more authors
    Numer. Algorithms, 2023
    DOI

2022

  1. halr.png
    Hierarchical adaptive low-rank format with applications to discretized partial differential equations
    Stefano Massei, Leonardo Robol, and Daniel Kressner
    Numer. Linear Algebra Appl., 2022
    DOI
  2. bivmatfun.png
    Mixed precision recursive block diagonalization for bivariate functions of matrices
    Stefano Massei, and Leonardo Robol
    SIAM J. Matrix Anal. Appl., 2022
    DOI

2021

  1. chebzeros.png
    Rank-structured QR for Chebyshev rootfinding
    Angelo Casulli, and Leonardo Robol
    SIAM J. Matrix Anal. Appl., 2021
    DOI
  2. Structured backward errors in linearizations
    Vanni Noferini, Leonardo Robol, and Raf Vandebril
    Electron. Trans. Numer. Anal., 2021
    DOI
  3. Rational Krylov for Stieltjes matrix functions: convergence and pole selection
    Stefano Massei, and Leonardo Robol
    BIT, 2021
    DOI
  4. Sampling the eigenvalues of random orthogonal and unitary matrices
    Massimiliano Fasi, and Leonardo Robol
    Linear Algebra Appl., 2021
    DOI

2020

  1. A computational framework for two-dimensional random walks with restarts
    Dario A. Bini, Stefano Massei, Beatrice Meini, and 1 more author
    SIAM J. Sci. Comput., 2020
    DOI
  2. Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations
    Leonardo Robol
    Linear Algebra Appl., 2020
    DOI
  3. hm-toolbox: MATLAB software for HODLR and HSS matrices
    Stefano Massei, Leonardo Robol, and Daniel Kressner
    SIAM J. Sci. Comput., 2020
    DOI
  4. Finite element model updating for structural applications
    Maria Girardi, Cristina Padovani, Daniele Pellegrini, and 2 more authors
    J. Comput. Appl. Math., 2020
    DOI
  5. Computing performability measures in Markov chains by means of matrix functions
    G. Masetti, and L. Robol
    J. Comput. Appl. Math., 2020
    DOI

2019

  1. When is a matrix unitary or Hermitian plus low rank?
    Gianna M. Del Corso, Federico Poloni, Leonardo Robol, and 1 more author
    Numer. Linear Algebra Appl., 2019
    DOI
  2. Nonsingular systems of generalized Sylvester equations: an algorithmic approach
    Fernando De Terán, Bruno Iannazzo, Federico Poloni, and 1 more author
    Numer. Linear Algebra Appl., 2019
    DOI
  3. Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices
    Stefano Massei, Mariarosa Mazza, and Leonardo Robol
    SIAM J. Sci. Comput., 2019
    DOI
  4. Stochastic evaluation of large interdependent composed models through Kronecker algebra and exponential sums
    Giulio Masetti, Leonardo Robol, Silvano Chiaradonna, and 1 more author
    In Application and theory of Petri nets and concurrency, 2019
    DOI
  5. Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Numer. Algorithms, 2019
    DOI
  6. Factoring block Fiedler companion matrices
    Gianna M. Del Corso, Federico Poloni, Leonardo Robol, and 1 more author
    In Structured matrices in numerical linear algebra, 2019
  7. Low-rank updates and a divide-and-conquer method for linear matrix equations
    Daniel Kressner, Stefano Massei, and Leonardo Robol
    SIAM J. Sci. Comput., 2019
    DOI
  8. Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials
    Jared Aurentz, Thomas Mach, Leonardo Robol, and 2 more authors
    Math. Comp., 2019
    DOI

2018

  1. Core-chasing algorithms for the eigenvalue problem
    Jared L. Aurentz, Thomas Mach, Leonardo Robol, and 2 more authors
    2018
    DOI
  2. On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes
    D. A. Bini, S. Massei, B. Meini, and 1 more author
    Numer. Linear Algebra Appl., 2018
    DOI
  3. Solving rank-structured Sylvester and Lyapunov equations
    Stefano Massei, Davide Palitta, and Leonardo Robol
    SIAM J. Matrix Anal. Appl., 2018
    DOI
  4. Fast and backward stable computation of roots of polynomials, Part II: Backward error analysis; companion matrix and companion pencil
    Jared L. Aurentz, Thomas Mach, Leonardo Robol, and 2 more authors
    SIAM J. Matrix Anal. Appl., 2018
    DOI
  5. Corrigendum to “Solvability and uniqueness criteria for generalized Sylvester-type equations” [MR3778751]
    Fernando De Terán, Bruno Iannazzo, Federico Poloni, and 1 more author
    Linear Algebra Appl., 2018
    DOI
  6. Solvability and uniqueness criteria for generalized Sylvester-type equations
    Fernando De Terán, Bruno Iannazzo, Federico Poloni, and 1 more author
    Linear Algebra Appl., 2018
    DOI
  7. Efficient Ehrlich-Aberth iteration for finding intersections of interpolating polynomials and rational functions
    Leonardo Robol, and Raf Vandebril
    Linear Algebra Appl., 2018
    DOI

2017

  1. Fast Hessenberg reduction of some rank structured matrices
    L. Gemignani, and L. Robol
    SIAM J. Matrix Anal. Appl., 2017
    DOI
  2. Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Appl. Numer. Math., 2017
    DOI
  3. A framework for structured linearizations of matrix polynomials in various bases
    Leonardo Robol, Raf Vandebril, and Paul Van Dooren
    SIAM J. Matrix Anal. Appl., 2017
    DOI
  4. On the decay of the off-diagonal singular values in cyclic reduction
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Linear Algebra Appl., 2017
    DOI
  5. Decay bounds for the numerical quasiseparable preservation in matrix functions
    Stefano Massei, and Leonardo Robol
    Linear Algebra Appl., 2017
    DOI

2016

  1. On a class of matrix pencils and \ell-ifications equivalent to a given matrix polynomial
    Dario A. Bini, and Leonardo Robol
    Linear Algebra Appl., 2016
    DOI
  2. Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications
    Dario A. Bini, and Leonardo Robol
    Linear Algebra Appl., 2016
    DOI

2015

  1. Exploiting rank structures for the numerical treatment of matrix polynomials
    Leonardo Robol
    Scuola Normale Superiore, Pisa, 2015
    PDF

2014

  1. Solving secular and polynomial equations: a multiprecision algorithm
    Dario A. Bini, and Leonardo Robol
    J. Comput. Appl. Math., 2014
    DOI

2012

  1. A rootfinding algorithm for polynomials and secular equations
    Leonardo Robol
    University of Pisa, 2012
    PDF