Suppose p is a zero of multiplicity m of f, where f (m) is continuous on an

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Suppose p is a zero of multiplicity m of f, where f (m) is continuous on an open interval containing p. Show that the following fixed-point method has g'( p) = 0:
g(x) = x − mf (x)/f'(x).

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:35 AM

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Suppose p is a zero of multiplicity m of f, where f (m) is continuous on an

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