publications

publications by categories in reverse chronological order.

2025

  1. tt-sgmres.png
    Randomized sketched TT-GMRES for linear systems with tensor structure
    Alberto Bucci, Davide Palitta, and Leonardo Robol
    SIAM Journal on Scientific Computing, 2025
    DOI PDF
  2. backward-nep.png
    Backward errors for multiple eigenpairs in structured and unstructured nonlinear eigenvalue problems
    Miryam Gnazzo and Leonardo Robol
    BIT Numerical Mathematics, 2025
    DOI PDF
  3. psd-lme.png
    Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations
    Ivan Bioli, Daniel Kressner, and Leonardo Robol
    SIAM Journal on Scientific Computing, 2025
    DOI PDF
  4. fem-su.png
    Regularization in Structural Model Updating in the Presence of Noisy Data
    Maria Girardi, Cristina Padovani, Daniele Pellegrini, and 1 more author
    International Journal for Numerical Methods in Engineering, 2025
    DOI
  5. tropical.png
    Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions
    Gian Maria Negri Porzio, Vanni Noferini, and Leonardo Robol
    Mathematics of Computation, 2025
    DOI

2024

  1. nested-dac.png
    A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients
    Stefano Massei and Leonardo Robol
    IMA Journal of Numerical Analysis, 2024
    DOI PDF
  2. hss-matfun.png
    Computing functions of symmetric hierarchically semiseparable matrices
    Angelo A Casulli, Daniel Kressner, and Leonardo Robol
    SIAM Journal on Matrix Analysis and Applications, 2024
    DOI PDF
  3. rom-radiation.png
    Reduced order modeling for thermal simulations of electric components with surface-to-surface radiation
    Matteo Zorzetto, Riccardo Torchio, Francesco Lucchini, and 3 more authors
    IEEE Access, 2024
    DOI PDF
  4. mln.png
    A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format
    Alberto Bucci and Leonardo Robol
    SIAM Journal on Matrix Analysis and Applications, 2024
    DOI PDF
  5. casulli-robol-sylv.png
    An efficient block rational Krylov solver for Sylvester equations with adaptive pole selection
    A. Casulli and L. Robol
    SIAM Journal on Scientific Computing, 2024
    DOI PDF

2023

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

2022

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

2021

  1. chebzeros.png
    Rank-structured QR for Chebyshev rootfinding
    Angelo Casulli and Leonardo Robol
    SIAM Journal on Matrix Analysis and Applications, 2021
    DOI PDF
  2. structure-be-etna.png
    Structured backward errors in linearizations
    Vanni Noferini, Leonardo Robol, and Raf Vandebril
    Electronic Transactions on Numerical Analysis, 2021
    DOI PDF
  3. rk-stieltjes.png
    Rational Krylov for Stieltjes matrix functions: convergence and pole selection
    Stefano Massei and Leonardo Robol
    BIT Numerical Mathematics, 2021
    DOI PDF
  4. sampling-unitary.png
    Sampling the eigenvalues of random orthogonal and unitary matrices
    Massimiliano Fasi and Leonardo Robol
    Linear Algebra and its Applications, 2021
    DOI PDF

2020

  1. qt-restart.png
    A computational framework for two-dimensional random walks with restarts
    Dario A. Bini, Stefano Massei, Beatrice Meini, and 1 more author
    SIAM Journal on Scientific Computing, 2020
    DOI PDF
  2. rational-krylov-adi.png
    Rational Krylov and ADI iteration for infinite size quasi-Toeplitz matrix equations
    Leonardo Robol
    Linear Algebra and its Applications, 2020
    DOI PDF
  3. hm-toolbox.png
    hm-toolbox: MATLAB software for HODLR and HSS matrices
    Stefano Massei, Leonardo Robol, and Daniel Kressner
    SIAM Journal on Scientific Computing, 2020
    DOI PDF
  4. fe-model-updating.png
    Finite element model updating for structural applications
    Maria Girardi, Cristina Padovani, Daniele Pellegrini, and 2 more authors
    Journal of Computational and Applied Mathematics, 2020
    DOI PDF
  5. mfun-paper.png
    Computing performability measures in Markov chains by means of matrix functions
    G. Masetti and L. Robol
    Journal of Computational and Applied Mathematics, 2020
    DOI PDF

2019

  1. orthoarxiv.png
    When is a matrix unitary or Hermitian plus low rank?
    Gianna M. Del Corso, Federico Poloni, Leonardo Robol, and 1 more author
    Numerical Linear Algebra with Applications, 2019
    DOI PDF
  2. nonsingular-systems-sylvester.png
    Nonsingular systems of generalized Sylvester equations: an algorithmic approach
    Fernando De Terán, Bruno Iannazzo, Federico Poloni, and 1 more author
    Numerical Linear Algebra with Applications, 2019
    DOI PDF
  3. fast-fractional.png
    Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices
    Stefano Massei, Mariarosa Mazza, and Leonardo Robol
    SIAM Journal on Scientific Computing, 2019
    DOI PDF
  4. kaes.png
    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 PDF
  5. cqt-toolbox.png
    Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Numerical Algorithms, 2019
    DOI PDF
  6. block-fiedler.png
    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
    PDF
  7. low-rank-updates.png
    Low-rank updates and a divide-and-conquer method for linear matrix equations
    Daniel Kressner, Stefano Massei, and Leonardo Robol
    SIAM Journal on Scientific Computing, 2019
    DOI PDF
  8. fast-backward-mpoly.png
    Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials
    Jared Aurentz, Thomas Mach, Leonardo Robol, and 2 more authors
    Mathematics of Computation, 2019
    DOI PDF

2018

  1. core-chasing.jpg
    Core-chasing algorithms for the eigenvalue problem
    Jared L. Aurentz, Thomas Mach, Leonardo Robol, and 2 more authors
    2018
    DOI
  2. infiniteQBD.png
    On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes
    D. A. Bini, S. Massei, B. Meini, and 1 more author
    Numerical Linear Algebra with Applications, 2018
    DOI PDF
  3. rank-structured-sylvester.png
    Solving rank-structured Sylvester and Lyapunov equations
    Stefano Massei, Davide Palitta, and Leonardo Robol
    SIAM Journal on Matrix Analysis and Applications, 2018
    DOI PDF
  4. fast-backward-poly.png
    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 Journal on Matrix Analysis and Applications, 2018
    DOI PDF
  5. starsylv.png
    Solvability and uniqueness criteria for generalized Sylvester-type equations
    Fernando De Terán, Bruno Iannazzo, Federico Poloni, and 1 more author
    Linear Algebra and its Applications, 2018
    DOI PDF
  6. eai-intersections.png
    Efficient Ehrlich-Aberth iteration for finding intersections of interpolating polynomials and rational functions
    Leonardo Robol and Raf Vandebril
    Linear Algebra and its Applications, 2018
    DOI PDF

2017

  1. fast-hessenberg-reduction.png
    Fast Hessenberg reduction of some rank structured matrices
    L. Gemignani and L. Robol
    SIAM Journal on Matrix Analysis and Applications, 2017
    DOI PDF
  2. efficient-cr.png
    Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Applied Numerical Mathematics. An IMACS Journal, 2017
    DOI PDF
  3. intersection-paper.png
    A framework for structured linearizations of matrix polynomials in various bases
    Leonardo Robol, Raf Vandebril, and Paul Van Dooren
    SIAM Journal on Matrix Analysis and Applications, 2017
    DOI PDF
  4. decay-cr-laa.png
    On the decay of the off-diagonal singular values in cyclic reduction
    Dario A. Bini, Stefano Massei, and Leonardo Robol
    Linear Algebra and its Applications, 2017
    DOI PDF
  5. quasi-mfunctions.png
    Decay bounds for the numerical quasiseparable preservation in matrix functions
    Stefano Massei and Leonardo Robol
    Linear Algebra and its Applications, 2017
    DOI PDF

2016

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

2015

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

2014

  1. secular-paper.png
    Solving secular and polynomial equations: a multiprecision algorithm
    Dario A. Bini and Leonardo Robol
    Journal of Computational and Applied Mathematics, 2014
    DOI PDF

2012

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