Python Implementation of ADJIMAN FUNCTION
Updated: Jul 14, 2021
The function is defined on input domain i.e. x ∈ [−1, 2] and y ∈ [−1, 1].
The global minimum f(z) = −2.02181 is located at z = (0, 0).
The function is not convex.
The function is differentiable.
The function is non-separable.
The function is defined on 2-dimensional space.
% 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: Yamini Jain from mpl_toolkits import mplot3d import matplotlib.pyplot as plt import numpy as np from matplotlib import cm def f(x,y): return (np.cos(x)*np.sin(y) - (x/(y**2+1))) X = np.linspace(-1,2) Y = np.linspace(-1,1) x,y = np.meshgrid(X,Y) #creating a rough mesh for generation of graph F = f(x,y) fig = plt.figure(figsize=(9,9)) ax = plt.axes(projection='3d') ax.contour3D(x,y, F,450, cmap = cm.cubehelix_r) ax.set_title('Adijman Function') #Giving a title to the image ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('F') ax.set_xlim(2,-1) ax.set_ylim(1,-1) ax.set_zlim(-3,2) ax.view_init(21,45) #This can be altered according to the need plt.show()
 Jamil, Momin, and Xin-She Yang. "A literature survey of benchmark functions for global optimization problems." International Journal of Mathematical Modelling and Numerical Optimization 4.2 (2013): 150-194.