Classifier Instance:

Anchor text: Newton's method
Target Entity: Newton\u0027s_method
Preceding Context:
Succeeding Context: assumes the function f to have a continuous derivative. Newton's method may not converge if started too far away from a root. However, when it does converge, it is faster than the bisection method, and is usually quadratic. Newton's method is also important because it readily generalizes to higher-dimensional problems. Newton-like methods with higher order of convergence are the Householder's methods. The first one after Newton's method is Halley's method with cubic order of convergence.
Paragraph Title: Newton's Method (and similar derivative-based methods)
Source Page: Root-finding algorithm

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