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functional iteration with posteriori bound

version 1.0.0 (1.14 KB) by G M Fahad Bin Mostafa
Fixed point iteration

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Updated 31 Jan 2020

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MATLAB script to perform functional iteration to estimate the positive root to
within an absolute error τ = 10−10. We use the a posteriori bound to decide
when to stop. We use the following example
Consider the function g (x) ≡ x − 2 tan−1 (x).
This function has three roots: a trivial root at zero, and two others. Because of the odd symmetry of g, the two nonzero roots differ only by a sign;
call them ±x*We will consider functional iteration: x(n+1)= f (xn)
with f (x) ≡ 2 tan−1(x) as a method to solve the equation g (x) = 0.

Cite As

G M Fahad Bin Mostafa (2021). functional iteration with posteriori bound (https://www.mathworks.com/matlabcentral/fileexchange/74079-functional-iteration-with-posteriori-bound), MATLAB Central File Exchange. Retrieved .

Eugene Isaacson and Herbert Bishop Keller. Analysis of numerical methods. Courier Corporation, 2012

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MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
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