All preprints can be found here

  • A new fast numerical method for the generalized Rosen-Zener model, with(Pozza, S., and Bonhomme, C.), (2023) [Link]

  • A new Legendre polynomial-based approach for non-autonomous linear ODEs,(with Pozza, S.),(2023) [Link]

Journal Articles

  • On generating Sobolev orthogonal polynomials, Numer. Math., vol. 155, pp. 415–443, (2023). [Link]

  • Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product,(with Van Barel, M., and Vandebril R.) Appl. Numer. Math., published online (2023). [Link]

  • A Lanczos-type procedure for tensors, (with Cipolla, S., Pozza, S., and Redivo-Zaglia, M.), Numerical Algorithms, vol. 92, pp. 377–406, (2023). [Link]

  • Generation of orthogonal rational functions by procedures for structured matrices, (with Van Barel, M., and Vandebril, R.), Numerical Algorithms, vol. 89, pp. 551-582, (2022). [Link]

  • Non-unitary CMV-decomposition, (with Van Barel, M., and Vandebril, R.), Special Matrices, vol. 8, no. 1, pp. 144-159, (2020). [Link]

  • Biorthogonal rational Krylov subspace methods, (Van Barel, M., and Vandebril, R.), Electronic Transactions on Numerical Analysis, vol. 51, pp. 451-468, (2019). [Link]

Conference proceedings

  • The $\star$-product approach for linear ODEs: a numerical study of the scalar case, (with Pozza, S.), PANM21, (2023). [Link]

  • A new matrix equation expression for the solution of non-autonomous linear systems of ODEs, (with Pozza, S.), PAMM, vol. 22, no. 1, (2023). [Link]

  • A $\star$-product solver with spectral accuracy for non-autonomous ordinary differential equations, (with Pozza, S.), PAMM, vol. 23, no. 1 (2023). [Link]

  • Fourier extension and sampling on the sphere, (with Potts, D.), International Conference on Sampling Theory and Applications (SampTA), IEEE, vol. 1, pp. 82-86, (2017). [Link]

PhD thesis

  • Structured Matrix Techniques for Orthogonal Rational Functions and Rational Krylov Methods

    Upcoming conferences

  • “TBA”, at Numerical Linear Algebra meeting, CIRM, Luminy, France, 16-20 September 2024. [Link to conference]

  • “From non-autonomous linear ODEs to a matrix equation and its efficient approximation”, at SIAM LA24, Paris, France, 13-17 May 2024. [Link to conference]


  • “Towards a global solver for the time-dependent Schrödinger equation”, at Computational and Applied Mathematics 2023, Selva di Fasano, Italy, 29 Aug-01 September, 2023.

  • “A new Legendre polynomial-based approach for non-autonomous linear ODEs”, Numerical Analysis in the 21st Century, Oxford, UK, 14-17 August, 2023.

  • “On generating Sobolev orthogonal polynomials”, 25th Conference of the International Linear Algebra Society (ILAS2023), Madrid, Spain, 12-16 June, 2023.

  • “Algorithms for modifying recurrence relations of orthogonal polynomial and rational functions when changing the discrete inner product “. Seminar classical analysis, KU Leuven, Leuven, Belgium, April 18, 2022.

  • ”$\star$-procedure to solve non-autonomous ODEs”. Seminar on Numerical Analysis (SNA’23), Ostrava, Czech Republic, 23-27 January, 2023.

  • ”$\star$-procedure to solve non-autonomous ODEs”. GAMM Workshop on Applied and Numerical Linear Algebra (GAMM ANLA), Prague, Czech Republic, 22-23 September, 2022.

  • “Discretization of the $\star$-product”. 92nd annual meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, 15-19 August, 2022

  • “Generating orthogonal polynomials with Krylov subspace methods’”. Summer school on Orthogonal Polynomials, Special Functions and their Applications (OPSFA), Radboud university, Nijmegen, The Netherlands, 7-12 August, 2022.

  • “Construction of a sequence of orthogonal rational functions”. Conference on Functional Analysis, Approximation Theory and Numerical Analysis (FAATNA20>22), Matera, Italy, 5-8 July, 2022.

  • ”$\star$-Lanczos procedure for non-autonomous ODEs”. 24th Conference of the International Linear Algebra Society, Galway, Ireland, 20-24 June, 2022.

  • “Solving non-autonomous ODEs in the $\star$-framework”. Numerical Linear Algebra seminar, university of Manchester, Manchester, UK, 16 June, 2022.

  • “Discretization of the $\star$-Lanczos procedure”. Conference on Numerical Methods for Large Scale Problems (NMLSP 2022), Belgrade, Serbia, 6-10 June, 2022.

  • “Structured matrices in (rational) Krylov subspace methods”. Seminar of Numerical Mathematics, Charles University, Prague, Czech Republic, 17 February 2022.

  • “Construction of a sequence of orthogonal rational functions”. Conference on Numerical Methods and Scientific Computing (NMSC21), CIRM Luminy, Luminy, France, 8-12 November, 2021

  • “Generating orthogonal rational functions by solving structured inverse eigenvalue problems”. SIAM conference on Applied Linear Algebra (LA21), Virtual, 17-21 May 2021.

  • “Numerically stable generation of orthogonal rational functions”. NUMA Seminar, KU Leuven, 04 March 2021.

  • “Matrix Structures Related to Rational Krylov Subspaces”. The Seventh International Conference on Numerical Algebra and Scientific Computing (NASC 2019), Nanjing, China, 21 October 2019.

  • “Matrix Structures in Rational Krylov Subspace Methods”. 22nd Conference of the International Linear Algebra Society (ILAS), Rio de Janeiro, Brazil, 10 July 2019.

  • “Biorthogonal Rational Krylov Subspace Methods”. Conference on Recent Advances in Scientific Computation (ETNA25), Santa Margherita di Pula, Italy, 28 May 2019.

  • “Biorthogonal Rational Krylov Subspace Methods”. The International Conference Mathematical Modeling with Applications (M2A19), Mohammed V University, Rabat, Morocco, 02 April 2019.

  • “A unifying representation of oblique projections onto Krylov subspaces”. NUMA Seminar, KU Leuven, Leuven, Belgium, 14 February 2019.


  • “Biorthogonal Extended Lanczos Iteration”. Forty-third Woudschoten Conference, Zeist, The Netherlands, 04 October 2018. </span>