Algorithmic computation of polynomial amoebas
Computational Geometry
2016-04-14 v1 Symbolic Computation
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.
Cite
@article{arxiv.1604.03603,
title = {Algorithmic computation of polynomial amoebas},
author = {D. V. Bogdanov and A. A. Kytmanov and T. M. Sadykov},
journal= {arXiv preprint arXiv:1604.03603},
year = {2016}
}