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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.
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Contributor : André Galligo <>
Submitted on : Wednesday, March 23, 2016 - 6:00:23 PM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM
Long-term archiving on: : Friday, June 24, 2016 - 2:09:10 PM


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  • HAL Id : hal-01292822, version 1



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



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