Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials-Reference-Cited by-同舟云学术

Minimizing the discrete logarithmic energy on the sphere: The role of random polynomials

Published:2011-01-11 Issue:6 Volume:363 Page:2955-2965
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Armentano Diego,Beltrán Carlos,Shub Michael

Abstract

We prove that points in the sphere associated with roots of random polynomials via the stereographic projection are surprisingly well-suited with respect to the minimal logarithmic energy on the sphere. That is, roots of random polynomials provide a fairly good approximation to elliptic Fekete points.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2011-363-06/S0002-9947-2011-05243-8/S0002-9947-2011-05243-8.pdf

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4. E. Bendito, A. Carmona, A.M. Encinas, and J.M. Gesto, Computational cost of the Fekete Problem II: on Smale’s 7th Problem, To appear.

5. Complexity and Real Computation

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