On mixed polynomials of bidegree (n, 1)

Abstract : Specifying the bidegrees (n, m) of mixed polynomials P (z, ¯ z) of the single complex variable z, with complex coefficients, allows to investigate interesting roots structures and counting; intermediate between complex and real algebra. Multivariate mixed polynomials appeared in recent papers dealing with Milnor fibrations, but in this paper we focus on the univariate case and m = 1, which is closely related to the important subject of harmonic maps. Here we adapt, to this setting, two algorithms of computer algebra: Vandermonde interpolation and a bissection-exclusion method for root isolation. Implemented in Maple, they are used to explore some interesting classes of examples.
Type de document :
Pré-publication, Document de travail
2016
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Dernière modification le : mardi 3 mai 2016 - 15:42:13
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  • HAL Id : hal-01292822, version 1

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Mohamed Elkadi, André Galligo. On mixed polynomials of bidegree (n, 1). 2016. 〈hal-01292822〉

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