2016/04/12 by Bogdanov, D. V., Kytmanov, A. A., Sadykov, T. M.
#14Q05 #14Q10 #14Q15 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #G.4 #Symbolic Computation (cs.SC)
paper · doi:10.48550/arxiv.1604.03603
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.