The function can be defined on any input domain but it is usually evaluated on xi ∈[−100,100] for i=1,…,n. Here, n =2.
The function has one global minimum f(x∗) =0 are located at x∗=(0,…,0).
The function is continuous, not convex, defined on n-dimensional space, multimodal, differentiable, non - separable.
% Please forward any comments or bug reports in chat Copyright 2021. INDUSMIC PRIVATE LIMITED.THERE IS NO WARRANTY, EXPRESS OR IMPLIED. WE DO NOT ASSUME ANY LIABILITY FOR THE USE OF THIS PROGRAM. If software is modified to produce derivative works, such modified software should be clearly marked. Additionally, user can redistribute it and/or modify it under the terms of the GNU General Public License. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY. See the GNU General Public License for more details. % for any support connect with us on email@example.com % Author: Sakshi Chadda import numpy as np import matplotlib.pyplot as plt from numpy import sqrt from numpy import cos from numpy import pi fig = plt.figure() ax = fig.gca(projection='3d') x = np.arange(-100, 100) y = np.arange(-10, 10) x, y = np.meshgrid(x, y) r = x**2+y**2 z = 1-cos(2 * pi * sqrt(r) + 0.1 * sqrt(r)) surface = ax.plot_surface(x, y, z, cmap='coolwarm') plt.show() plt.contour(x,y,z) plt.show() plt.scatter(x, y, z) plt.show()
 Survajonic, Sonja & Bingham, Derek, “Virtual Library of Simulation Experiments”, sfu.ca,