Preprints

All preprints can be found here

  • Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations, (with Yizhi Shen, Daan Camps, Katherine Klymko, and Roel Van Beeumen), arXiv quant-ph (2024) [Link]

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

Journal Articles

  • Constructing Sobolev orthonormal rational functions via an updating procedure, (with Faghih, A., Van Barel, M., and Vandebril, R.) Numer. Algor., published online (2025). [Link]

  • A Rational Arnoldi Approach for Sobolev Rational Least Squares Problems, (with Faghih, A., Van Barel, M., and Vandebril, R.) Numer. Linear Algebra Appl., vol. 32 , pp. e70017 (2025). [Link]

  • On computing the zeros of Laguerre–Sobolev polynomials, (with Laudadio, T., Mastronardi, N., Marcellán Español, F.J., Van Dooren, P.) Numer. Algor., published online (2025). [Link]

  • A new Legendre polynomial-based approach for non-autonomous linear ODEs, (with Pozza, S.) Electronic Transactions on Numerical Analysis, vol. 60, pp. 292-326, (2024). [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., vol. 200, pp. 429-452, (2024). [Link]

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

    Upcoming conferences

  • “TBA”, Foundations of Computational Mathematics 2026 Conference (FoCM 2026) Vienna, Austria (8-18 July 2026). [Link to conference]

Talks

  • “Numerically generating Sobolev orthogonal polynomials”, Householder Symposium XXII Cornell University, Ithaca, USA (8-13 June 2025). [Link to conference]

  • “Rational functions in quantum computing”. Séminaire équipe EMA, ULCO, Calais, France (22 May 2025). [Link to conference]

  • “Rational functions in quantum computing”. Seminar of Numerical Mathematics, Charles University, Prague, Czech Republic (15 May 2025). [Link to conference]

  • “On numerically generating Sobolev orthogonal polynomials”. Ibero-American Seminar, UC3M and Universidad Autonoma de Santo Domingo, virtual, international (28 February 2025). [Link to conference]

  • “A new Legendre polynomial-based approach for non-autonomous linear ODEs”, Mathematical Modeling with Applications (M2A25), University Cadi Ayyad, Marrakesh, Morocco (18-20 February 2025). [Link to conference]

  • “Rational functions in quantum computing”. Q-math seminar, UC3M and ICMAT, Madrid, Spain (12 November 2024). [Link to conference]

  • “Rational functions in quantum computing”. XVIII Workshop de Jóvenes Investigadores. Universidad Complutense de Madrid (UCM), Instituto de Matemática Interdisciplinar (IMI), Universidad Carlos III de Madrid (UC3M) y Universidad Autónoma de Madrid (UAM), Madrid, Spain, (23-25 September 2024).

  • “Rational functions in quantum computing”, 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.

Posters

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