### Newton's method ⇝

## Newton-Raphson iteration

An iterative algorithm for solving equations. Given an equation,

f x = 0and an initial approximation, x(0), a better approximation is given by:

x(i+1) = x(i) - f(x(i)) / f'(x(i))where f'(x) is the first derivative of f, df/dx. Newton-Raphson iteration is an example of an anytime algorithm in that each approximation is no worse than the previous one.

Last updated: 2007-06-19

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New Testament ♦ Newton ♦ **Newton-Raphson iteration** ♦ Newton's method ♦ NewWave

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