CALCULUS Understanding Its Concepts and Methods

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
*x*_{0}
be an initial approximation to a zero of a function
*f*.
Set
and
for
set

Usually, the numbers
*x _{n}*
are successively better approximations to a zero of

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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.