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arXiv · 1604.03603

Algorithmic computation of polynomial amoebas

D. V. Bogdanov·A. A. Kytmanov·T. M. Sadykov
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Abstract

We present algorithms for computation and visualization of amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We also provide method and an algorithm for the computation of~polynomials whose amoebas exhibit the most complicated topology among all polynomials with a fixed Newton polytope. The presented algorithms are implemented in computer algebra systems Matlab 8 and Mathematica 9.

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D. V. Bogdanov, A. A. Kytmanov, T. M. Sadykov. 2016-04-12. Algorithmic computation of polynomial amoebas. https://arxiv.org/abs/1604.03603

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