Created
August 21, 2025 10:16
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| # Minimize f(x) = 2 + (x - 3)^2 | |
| def f(x): | |
| return 2 + (x - 3)**2 | |
| def fdash(x): | |
| return 2 * (x - 3) | |
| mu = 0.001 | |
| x0 = 0.5 | |
| epsilon = 1e-10 | |
| current_fval = 100000000 | |
| x_vals = [x0] | |
| while np.abs(f(x0) - current_fval) > epsilon: | |
| current_fval = f(x0) | |
| x0 = x0 - mu * fdash(x0) | |
| x_vals.append(x0) | |
| print(f(x0)) | |
| x = np.arange(0, 6, 0.01) | |
| plt.plot(x, f(x)) | |
| x_vals = np.array(x_vals) | |
| plt.plot(x_vals, f(x_vals), 'ko') | |
| plt.show() |
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