尊龙凯时人生就是博

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ʹÓà NumPy ʵÏÖÅ£¶Ùµü´ú·¨

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x[n+1] = x[n] - f(x[n]) / f'(x[n])

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¿ÉÒÔʹÓà NumPy ¿âÖÐµÄ gradient ºÍ dot º¯Êý¼ò»¯Å£¶Ùµü´ú·¨µÄʵÏÖ£º

import numpy as np

def newton_iteration(f, f_prime, x0, tol=1e-6, max_iter=100):
    x = x0
    for i in range(max_iter):
        gradient = np.gradient(f, x)
        x -= np.dot(gradient, gradient) / np.dot(gradient, f_prime(x))
        if np.linalg.norm(gradient) <p><strong>ʹÓÃÒªÁì</strong></p><p>ʹÓô˺¯ÊýÇó½â·½³Ì f(x) = x**3 - 1µÄ¸ù£º</p><pre class="brush:php;toolbar:false">def f(x):
    return x**3 - 1

def f_prime(x):
    return 3 * x**2

x0 = 1  # ³õʼÍƲâ

root = newton_iteration(f, f_prime, x0)
print(root)  # Êä³ö½üËƸù

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