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Fix Newton's Method

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The old one incorrectly uses the absolute value of the derivative
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Basil Feitknecht
2026-01-18 14:30:02 +01:00
committed by GitHub
parent 5de9a21514
commit 2765f49320
1 changed files with 7 additions and 4 deletions
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11
semester3/numcs/parts/03_zeros/04_newton-one-d.tex
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@@ -23,9 +23,12 @@ falls $F(x^*) = 0$ und $F^(x^*) \neq 0$
\begin{code}{python} \begin{code}{python}
def newton_method(f, df, x: float, tol=1e-12, maxIter=100): def newton_method(f, df, x: float, tol=1e-12, maxIter=100):
""" Use Newton's method to find zeros, requires derivative of f """ """ Use Newton's method to find zeros, requires derivative of f """
iter = 0 k = 0
while (np.abs(df(x)) > tol and iter < maxIter): fx = f(x)
x -= f(x)/df(x); iter += 1 dfx = df(x)
while (np.abs(fx) > tol and k < maxIter):
x -= fx / dfx
k += 1
return x, iter return x, k
\end{code} \end{code}