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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, 2015, 15(1), 125?157
Editorial: Springer New York LLC
Fecha de publicación: 01/02/2015
Nº de páginas: 33
Tipo de publicación: Artículo de Revista
DOI: 10.1007/s10208-014-9213-0
ISSN: 1615-3375,1615-3383
Proyecto español: MTM2010-16051
Url de la publicación: http://link.springer.com/article/10.1007/s10208-014-9213-0
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CARLOS BELTRAN ALVAREZ
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