The iterative method to solve f (x) = 0, given by the fixed-point method g(x) = x,

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The iterative method to solve f (x) = 0, given by the fixed-point method g(x) = x, where
The iterative method to solve f (x) = 0, given

has g'( p) = g''( p) = 0. This will generally yield cubic (α = 3) convergence. Expand the analysis of Example 1 to compare quadratic and cubic convergence.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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