Publications

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SUBMITTED PAPERS (reverse chronological order)

        4. D. P., Zoran Tomljanović, Ivica Nakić, Jens Saak. Efficient solution of sequences of parametrized Lyapunov equations with applications. December 2023, Submitted.

        3 . D. P., Marcel Schweitzer, Valeria Simoncini. Sketched and truncated polynomial Krylov methods: Matrix equations. November 2023, Submitted.

        2. Stefania Bellavia, D. P., Margherita Porcelli, Valeria Simoncini. Regularized methods via cubic subspace minimization for nonconvex optimization. June 2023, Submitted.

        1. D. P., Marcel Schweitzer, Valeria Simoncini. Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions. June 2023, Submitted. 

ARTICLES IN REFEREED JOURNALS (reverse chronological order)

        18. Kathryn Lund, D. P. Low-rank-modified Galerkin methods for the Lyapunov equation. ETNA, Vol. 62, pp. 1-21 (2024).

        17. Martin J. Gander, D. P., A new ParaDiag time-parallel time integration method, SIAM J. Sci. Comput., 46 (2), A697 - A718 (2024).

        16. D. P., Jemima Tabeart, Stein-based preconditioners for weak-constraint 4D-var. Journal of Computational Physics, 112068 (2023).

        15. Peter Benner, D. P., Jens Saak, On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Numerical Algorithms, Vol. 92, pp. 35–63 (2023). 

        14. Peter Benner, Bruno Iannazzo, Beatrice Meini, D. P., Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations. BIT Numer Math, 62, pp. 1649–1672 (2022).

        13. Julian Henning, D. P., Valeria Simoncini and Karsten Urban. Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. ESAIM: M2AN (2022) 56, 4, pp. 1173 - 1198.

        12. D. P., Stefano Pozza, and Valeria Simoncini, The Short-term Rational Lanczos Method and Applications. SIAM J. Sci. Comput., 44 (4), A2843-A2870 (2022).

        11. D. P. and Sanda Lefteriu, An efficient, memory-saving approach for the Loewner framework. J Sci Comput 91, 31 (2022). 

        10. D. P., Matrix equation techniques for certain evolutionary partial differential equations. J Sci Comput 87, 99 (2021). 

        9. D. P. and Patrick Kürschner, On the convergence of Krylov methods with low-rank truncations. Numerical Algorithms (2021) Vol. 88, n. 3, pp. 1383-1417. Bibtex.

        8. Peter Benner and D. P., On the solution of the nonsymmetric T-Riccati equation. ETNA (2021) Vol. 54, pp. 68-88. Bibtex.

        7. Daniel Kressner, Kathryn Lund, Stefano Massei and D. P., Compress-and-restart block Krylov subspace methods for Sylvester matrix equations. Numer Linear Algebra Appl. (2021) Vol. 28, n.1 , e2339. Bibtex.

        6. D. P. and Valeria Simoncini, Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. Vietnam Journal of Mathematics (2020) Vol. 48, pp. 791–807. Bibtex.

        5. Stefano Massei, D.P. and Leonardo Robol. Solving rank-structured Sylvester and Lyapunov equations. SIAM Journal on Matrix Analysis and Applications (2018) Vol. 39, n. 4: pp. 1564–1590. Available Software. Bibtex.

        4. D. P. and Valeria Simoncini. Numerical methods for large-scale Lyapunov equations with symmetric banded data. SIAM Journal on Scientific Computing (2018) Vol. 40, n. 5: pp. A3581–A3608. Available Software. Bibtex.

        3. Elias Jarlebring, Giampaolo Mele, D. P. and Emil Ringh. Krylov methods for low-rank commuting generalized Sylvester equations. Numer Linear Algebra with Applications (2018) Vol. 25, n. 6, e2176. Available Software. Bibtex.

        2. D. P. and Valeria Simoncini. Computationally enhanced projection methods for symmetric Sylvester and Lyapunov equations. Journal of Computational and Applied Mathematics (2018) Vol. 330 pp. 648-659. Available software. BibTex.

        1. D. P.  and Valeria Simoncini, Matrix-equation-based strategies for convection-diffusion equations, BIT Numerical Mathematics (2016) Vol. 56, n. 2: pp.  751-776. BibTex. 

PEER-REVIEWED CONFERENCE PROCEEDINGS (reverse chronological order)

        1. Julian Henning, D. P., Valeria Simoncini and Karsten Urban, Matrix oriented reduction of space-time Petrov-Galerkin variational problems. Numerical Mathematics and Advanced Applications ENUMATH 2019 (2021): pp. 1049-1057.

TECHNICAL REPORTS

        1. D.P., The projected Newton-Kleinman method for the algebraic Riccati equation. Jan 2019, Submitted.