Peer-reviewed publications

• Low-rank solutions to a class of parametrized systems using Riemannian optimization
  M. Sutti, T. Vanzan
  Tech. report, to appear in SIAM J. Sci. Comput., 2026.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_Vanzan:2026b,
    author = {Sutti, M. and Vanzan, T.},
    title = {Low-rank solutions to a class of parametrized systems using Riemannian optimization},
    journal = {SIAM Journal on Scientific Computing},
    year = {2026},
    month = {Apr},
    eprint = {2604.07136},
    archivePrefix = {arXiv},
    note = {To appear}
  }
• Toroidal area-preserving parameterizations of genus-one closed surfaces
  M. Sutti, M.-H. Yueh
  Tech. report, to appear in Springer's Journal of Scientific Computing, 2026.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_Yueh:2025,
    author = {Sutti, M. and Yueh, M.-H.},
    title = {Toroidal area-preserving parameterizations of genus-one closed surfaces},
    journal = {Journal of Scientific Computing},
    year = {2025},
    month = {Aug},
    eprint = {2508.05111},
    archivePrefix = {arXiv},
    note = {To appear}
  }
• Nonlinear Schwarz methods to compute geodesics on manifolds
  M. Sutti, T. Vanzan
  Tech. report, to appear in Springer's Lecture Notes in Computational Science and Engineering, 24 Aug 2026.
  Publisher's version arXiv preprint DDM28 proceedings (PDF) BibTeX

  @inproceedings{Sutti_Vanzan:2026,
    author = {Sutti, M. and Vanzan, T.},
    title = {{N}onlinear {S}chwarz methods to compute geodesics on manifolds},
    booktitle = {Lecture Notes in Computational Science and Engineering},
    year = {2026},
    month = {Jul},
    eprint = {2409.01023},
    archivePrefix = {arXiv},
    url = {https://www.ddm.org/DD28/proceedings/DD28_239.pdf}
  }
• A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold
  M. Sutti
  Electron. Trans. Numer. Anal. (ETNA), Vol. 60, 501–519, September 2024.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti:2024,
    author = {Sutti, M.},
    title = {A single shooting method with approximate {F}r\'{e}chet derivative for computing geodesics on the {S}tiefel manifold},
    journal = {Electron. Trans. Numer. Anal.},
    year = {2024},
    month = {Sep},
    volume = {60},
    pages = {501--519},
    issn = {1068-9613},
    doi = {10.1553/etna_vol60s501},
    eprint = {2404.04089},
    archivePrefix = {arXiv},
    url = {https://etna.math.kent.edu/vol.60.2024/pp501-519.dir/pp501-519.pdf},
    fjournal = {Electronic Transactions on Numerical Analysis}
  }
• Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations
  M. Sutti, B. Vandereycken
  Vol. 101, article number 3, J. Sci. Comput., 13 August 2024.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_V:2024,
    author = {Sutti, M. and Vandereycken, B.},
    title = {Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations},
    journal = {J. Sci. Comput.},
    year = {2024},
    month = {Aug},
    day = {13},
    volume = {101},
    number = {1},
    pages = {3},
    issn = {1573-7691},
    doi = {10.1007/s10915-024-02629-8},
    eprint = {2305.11532},
    archivePrefix = {arXiv},
    url = {https://doi.org/10.1007/s10915-024-02629-8},
    fjournal = {Journal of Scientific Computing}
  }
• Riemannian gradient descent for spherical area-preserving mappings
  M. Sutti, M.-H. Yueh
  AIMS Math., Vol. 9(7), 19414–19445, 12 June 2024.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_Yueh:2024,
    author = {Sutti, M. and Yueh, M.-H.},
    title = {Riemannian gradient descent for spherical area-preserving mappings},
    journal = {AIMS Math.},
    year = {2024},
    volume = {9},
    number = {7},
    pages = {19414--19445},
    issn = {2473-6988},
    doi = {10.3934/math.2024946},
    eprint = {2403.11726},
    archivePrefix = {arXiv},
    url = {https://www.aimspress.com/article/doi/10.3934/math.2024946},
    fjournal = {AIMS Mathematics}
  }
• Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis
  M. Sutti, J. S. Hesthaven
  J. Comput. Phys., Vol. 509, 15 July 2024, 113047.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_H:2024,
    author = {Sutti, M. and Hesthaven, J. S.},
    title = {Perfectly matched layers for the {B}oltzmann equation: {S}tability and sensitivity analysis},
    journal = {J. Comput. Phys.},
    year = {2024},
    volume = {509},
    pages = {113047},
    issn = {0021-9991},
    doi = {10.1016/j.jcp.2024.113047},
    eprint = {2312.03273},
    archivePrefix = {arXiv},
    fjournal = {Journal of Computational Physics}
  }
• Riemannian multigrid line search for low-rank problems
  M. Sutti, B. Vandereycken
  SIAM J. Sci. Comput., 43(3), A1803–A1831, 2021.
  Publisher's version arXiv preprint BibTeX

  @article{Sutti_V:2021,
    author = {Sutti, M. and Vandereycken, B.},
    title = {Riemannian multigrid line search for low-rank problems},
    journal = {SIAM J. Sci. Comput.},
    year = {2021},
    volume = {43},
    number = {3},
    pages = {A1803--A1831},
    doi = {10.1137/20M1337430},
    eprint = {2005.06976},
    archivePrefix = {arXiv}
  }

Technical reports

• Stiefel-AdamW: Geometry-Aware AdamW for Linear Factorization Blocks
  E. Zangrando, M. Sutti, F. Tudisco
  Tech. report (submitted), September 2026.
  arXiv preprint BibTeX

  @misc{Zangrando_Sutti_Tudisco:2026,
    author = {Zangrando, E. and Sutti, M. and Tudisco, F.},
    title = {Stiefel-AdamW: Geometry-Aware AdamW for Linear Factorization Blocks},
    year = {2026},
    month = {Sep},
    eprint = {2609.21039},
    archivePrefix = {arXiv},
    url = {https://arxiv.org/abs/2609.21039}
  }
• Shooting methods for computing geodesics on the Stiefel manifold
  M. Sutti
  Tech. report, September 2023.
  arXiv preprint BibTeX

  @misc{Sutti:2023,
    author = {Sutti, M.},
    title = {Shooting methods for computing geodesics on the Stiefel manifold},
    year = {2023},
    month = {Sep},
    eprint = {2309.03585},
    archivePrefix = {arXiv},
    url = {https://arxiv.org/abs/2309.03585}
  }
• The leapfrog algorithm as nonlinear Gauss-Seidel
  M. Sutti, B. Vandereycken
  Tech. report, January 2023.
  arXiv preprint BibTeX

  @misc{Sutti_V:2023,
    author = {Sutti, M. and Vandereycken, B.},
    title = {The leapfrog algorithm as nonlinear {G}auss--{S}eidel},
    year = {2023},
    month = {Jan},
    eprint = {2010.14137},
    archivePrefix = {arXiv},
    url = {https://arxiv.org/abs/2010.14137}
  }
• SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations
  M. Sutti
  Tech. report, September 2022.
  arXiv preprint BibTeX

  @misc{Sutti:2022a,
    author = {Sutti, M.},
    title = {SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations},
    year = {2022},
    month = {Sep},
    eprint = {2209.05189},
    archivePrefix = {arXiv},
    url = {https://arxiv.org/abs/2209.05189}
  }

Software

• RHZLS, MATLAB code Riemannian Hager-Zhang line search, October 2026.

  📚 If you use RHZLS for your research, please kindly cite the paper Riemannian multigrid line search for low-rank problems.

• SSAF_2024_repo, MATLAB code associated with the paper A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold, June 2024.

  📚 If you use SSAF_2024_repo for your research, please kindly cite the paper A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold.

• PrecRTR, MATLAB code associated with the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations, September 2023.

  📚 If you use PrecRTR for your research, please kindly cite the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations.

• HZLS, MATLAB implementation of the Hager–Zhang line-search technique, November 2022.
• SPHM: A MATLAB package for SPH simulations, MATLAB code associated with the homonymous preprint, September 2022.
• LFMS_Stiefel, MATLAB code associated with the preprint The leapfrog algorithm as nonlinear Gauss-Seidel and my Ph.D. thesis, November 2021.

  📚 If you use LFMS_Stiefel for your research, please kindly cite chapter 2 of my Ph.D. thesis, and the preprint The leapfrog algorithm as nonlinear Gauss-Seidel.

• RMGLS: A MATLAB algorithm for Riemannian multilevel optimization, MATLAB code associated with the paper Riemannian multigrid line search for low-rank problems, available on Yareta doi.org/10/ghp6ng, June 2020.

  📚 If you use RMGLS for your research, please kindly cite the paper Riemannian multigrid line search for low-rank problems.

Ph.D. Thesis

• Riemannian Algorithms on the Stiefel and the Fixed-Rank Manifold
  M. Sutti
  Ph.D. thesis, University of Geneva, December 2020.
  Thesis / full text BibTeX

  @phdthesis{Sutti:2020,
    author = {Sutti, M.},
    title = {Riemannian algorithms on the {S}tiefel and the fixed-rank manifold},
    school = {Section de mathématiques, University of Geneva},
    year = {2020},
    month = {Dec},
    url = {https://archive-ouverte.unige.ch/unige:146438}
  }

Master project (EPFL)

• Analysis and Optimization of Perfectly Matched Layers for the Boltzmann Equation
  M. Sutti
  master project, EPFL, June 2015.
  Thesis / full text BibTeX

  @mastersthesis{Sutti:2015,
    author = {Sutti, M.},
    title = {Analysis and optimization of perfectly matched layers for the {B}oltzmann equation},
    school = {Computational Mathematics and Simulation Science, EPFL},
    year = {2015},
    month = {Jun},
    url = {https://www.marcosutti.net/theses/Sutti_Marco_Master_Project.pdf}
  }

M.Sc. thesis in Civil Engineering (Politecnico di Milano)

• A Study on the Dynamic Response of Plates Subjected to Blast Loadings by means of Pressure-Impulse Diagrams
  M. Sutti, L. A. Gonzalez
  master thesis, Politecnico di Milano, October 2010.
  Thesis / full text POLITesi record BibTeX

  @mastersthesis{Sutti_G:2010,
    author = {Sutti, M. and Gonzalez, L. A.},
    title = {A study on the dynamic response of plates subjected to blast loadings by means of pressure--impulse diagrams},
    school = {Politecnico di Milano},
    year = {2010},
    month = {Oct},
    url = {https://www.marcosutti.net/theses/2010_10_Sutti_Gonzalez.pdf}
  }

Other contributions

• I thank R. Zimmermann and K. Hüper, authors of the paper Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance, for their kind acknowledgement.
• In 2010, as part of my M.Sc. thesis in Civil Engineering at Politecnico di Milano, I developed the numerical algorithms used in the paper Pressure–impulse diagrams for RC and FRC circular plates under blast loads. I thank the authors M. Colombo and P. Martinelli for their kind acknowledgement.