“Halley’s method”的概念、定义、翻译、参考文献-科学参考

单词	Halley’s method
释义	Halley’s method Mathematics A method of solving an equation in one variable f(x)=0 with a first approximation to the solution x₀ using the iteration $x_{n + 1} = x_{n} - \frac{f (x_{n})}{f (x_{n}) - (\frac{f (x_{n}) f^{″} (x_{n})}{f^{'} (x_{n})})} n = 0, 1, 2, \dots$ This method converges faster than Newton’s method, but more computation is required at each iteration, so neither method can claim to be more efficient.
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