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Newton's method

Newton's method is an algorithm for approximating a zero of a function (a place where the function takes on the value zero).

Algorithm:Let x0 be an initial approximation to a zero of a function f. Set MATHand for $n=1,2,3,\ldots $ set MATH

Usually, the numbers xn are successively better approximations to a zero of f .


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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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