| Minimizing the discrete logarithmic energy on the sphere: the role of random polynomials D Armentano, C Beltrán, M Shub Transactions of the American Mathematical Society 363 (6), 2955-2965, 2011 | 53 | 2011 |
| A stable, polynomial-time algorithm for the eigenpair problem D Armentano, C Beltrán, P Bürgisser, F Cucker, M Shub Journal of the European Mathematical Society 20 (6), 1375-1437, 2018 | 34 | 2018 |
| The polynomial eigenvalue problem is well conditioned for random inputs D Armentano, C Beltrán SIAM Journal on Matrix Analysis and Applications 40 (1), 175-193, 2019 | 22 | 2019 |
| Stochastic perturbations and smooth condition numbers D Armentano Journal of Complexity 26 (2), 161-171, 2010 | 18 | 2010 |
| Asymptotic variance of the number of real roots of random polynomial systems D Armentano, JM Azaïs, F Dalmao, J León Proceedings of the American Mathematical Society 146 (12), 5437-5449, 2018 | 16 | 2018 |
| Condition length and complexity for the solution of polynomial systems D Armentano, C Beltrán, P Bürgisser, F Cucker, M Shub Foundations of Computational Mathematics 16 (6), 1401-1422, 2016 | 16 | 2016 |
| Complexity of path-following methods for the eigenvalue problem D Armentano Foundations of Computational Mathematics 14 (2), 185-236, 2014 | 15 | 2014 |
| Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems D Armentano, JM Azaïs, F Dalmao, JR León American Journal of Mathematics 143 (4), 1011-1042, 2021 | 14 | 2021 |
| A randomized homotopy for the Hermitian eigenpair problem D Armentano, F Cucker Foundations of Computational Mathematics 15 (1), 281-312, 2015 | 13 | 2015 |
| Random systems of polynomial equations. The expected number of roots under smooth analysis D Armentano, M Wschebor | 13 | 2009 |
| Conditions for the finiteness of the moments of the volume of level sets D Armentano, JM Azaïs, D Ginsbourger, JR Leon | 11 | 2019 |
| On the finiteness of the moments of the measure of level sets of random fields D Armentano, JM Azaïs, F Dalmao, JR Léon, E Mordecki arXiv preprint arXiv:1909.10243, 2019 | 10* | 2019 |
| A note about the average number of real roots of a Bernstein polynomial system D Armentano, JP Dedieu Journal of Complexity 25 (4), 339-342, 2009 | 9 | 2009 |
| On a general Kac-Rice formula for the measure of a level set D Armentano, JM Azaïs, JR León arXiv preprint arXiv:2304.07424, 2023 | 6 | 2023 |
| A review of some recent results on random polynomials over R and over C D Armentano arXiv preprint arXiv:1010.3295, 2010 | 6 | 2010 |
| Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems D Armentano, JM Azaïs, F Dalmao, JR León Journal of Complexity 72, 101668, 2022 | 5 | 2022 |
| Smale’s fundamental theorem of algebra reconsidered D Armentano, M Shub Foundations of Computational Mathematics 14, 85-114, 2014 | 4 | 2014 |
| Average polynomial time for eigenvector computations D Armentano, C Beltrán, M Shub arXiv preprint arXiv:1410.2179, 2014 | 3 | 2014 |
| Número de condición y matrices aleatorias D Armentano UR. FC, 2005 | 3 | 2005 |
| Complexity and random polynomials D Armentano Udelar. FC., 2012 | 2 | 2012 |
