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Abstract: Abstract A breakthrough paper written in 1993 by Shub and Smale unveiled the relationship between stable polynomials and points which minimize the discrete logarithmic energy on the Riemann sphere (a.k.a. elliptic Fekete points). This relationship has inspired advances in the study of both concepts, many of whose main properties are not well known yet. In this paper I prove an equivalent formulation for the problem of elliptic Fekete points and some consequences, including a (nonsharp) reciprocal of Shub and Smale’s result and some novel nontrivial claims about these classical problems.
Fuente: Foundations of Computational Mathematics, February 2015, Volume 15, Issue 1, pp 125–157
Publisher: Springer New York LLC
Publication date: 01/02/2015
No. of pages: 33
Publication type: Article
DOI: 10.1007/s10208-014-9213-0
ISSN: 1615-3375,1615-3383
Spanish project: MTM2010-16051
Publication Url: http://link.springer.com/article/10.1007/s10208-014-9213-0
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CARLOS BELTRAN ALVAREZ
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