Marco Vianello: work on Polynomial Optimization via Approximation Theory

online publications and preprints (downloadable pdf)

1. CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes
   preprint, with D. Kenne and A. Sommariva
   JAS - J. Approx. Software 1, 2 (2024)
   
   
2. Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball
   arXiv:2311.18656, with L. Bialas-Ciez, D. Kenne and A. Sommariva
   Electron. Trans. Numer. Anal. 60 (2024), 428--445
   
   
3. Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections
   preprint, with L. Bialas-Ciez, D. Kenne and A. Sommariva
   J. Comput. Appl. Math. 443 (2024)
   
   
4. Quadrature-based polynomial optimization
   preprint, with A. Martinez, F. Piazzon and A. Sommariva
   Optim. Lett. 14 (2020), 1027--1036
   co-winner of the OPTL Best Paper Awards for 2020
   
   
5. Chebyshev-Dubiner norming webs on starlike polygons
   preprint
   J. Inequal. Spec. Funct. 10-3 (2019), 26--32
   
   
6. Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies
   preprint, with F. Piazzon
   Optim. Lett. 13 (2019), 1325--1343
   
   
7. Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization
   preprint
   Optim. Lett. 12 (2018), 1659--1667
   
   
8. Global polynomial optimization by norming sets on sphere and torus
   preprint
   Dolomites Res. Notes Approx. DRNA 11 (2018), 10--14
   
   
9. An elementary approach to polynomial optimization on polynomial meshes
   preprint
   J. Math. Fund. Sci. 50 (2018), 84--91
   
   
10. A note on total degree polynomial optimization by Chebyshev grids
    preprint, with F. Piazzon
    Optim. Lett. 12 (2018), 63--71