Halley's method topic
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In numerical analysis, Halley's method is a root-finding algorithm used for functions of one real variable with a continuous second derivative, i.e. C functions. It is named after its inventor Edmond Halley who also discovered Halley's Comet.
The algorithm is second in the class of Householder's methods, right after the Newton's method. Like the latter it produces iteratively a sequence of approximations to the root, their rate of convergence to the root is cubic. There do exist...
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