Análisis Numérico

 Publicaciones

1. The polynomial eigenvalue problem is well conditioned for random inputs 
   (collaboration with C. Beltrán) preprint

2. On the asymptotic variance of the number of real roots of random polynomial systems (collaboration with JM. Azais , F. Dalmao, JR. León)    (submitted Proceedings of the AMS)

3. Condition length and complexity for the solution of polynomial systems (collaboration with C. Beltrán , P. Burgisser, F. Cucker, and M. Shub)  
   (to appear in JEMS)

4. A stable, polynomial-time algorithm for the eigenpair problem  (collaboration with C. Beltrán , P. Burgisser, F. Cucker, and M. Shub)    (to appear in Foundation of Computational Mathematics)

5. A Randomized Homotopy for the Hermitian Eigenpair Problem (collaboration with F. Cucker)
   Foundation of Computational Mathematics 15(1): 281-312, 2015

6. Smale's Fundamental Theorem of Algebra Reconsidered (collaboration with M. Shub
   Foundation of Computational Mathematics, 14:85–114, 2014

7. Complexity of Path-Following Methods for the Eigenvalue Problem
   Foundation of Computational Mathematics, 14:185-236, 2014

8. A review of some recent results on Random Polynomials over R and over C
   Publicaciones Matemáticas del Uruguay, Proceedings of the IFUM Colloquium, Vol. 12, 1-14, 2011

9. Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials (collaboration with C. Beltrán , M. Shub)
   Trans. Amer. Math. Soc. 363(6), vol 363, 2955-2965, 2011

10. Stochastic Perturbations and Smooth Condition Numbers.
    J. Complexity 26(2), vol 26, 161-171, 2010

11. A note about the average number of real roots of a Bernstein polynomial system. (collaboration with J.P. Dedieu)
    J. Complexity 25(4), vol 25, 339-342, 2009

12. Random systems of polynomial equations. The expected number of roots under smooth analysis. (collaboration with M. Wschebor)    Bernoulli, no.1, 249-266, 2009