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Fixed Point Computation using Aitken's method
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2006-11-01
Description

Aitken's method allows faster computation of fixed points. It converges even when the direct approach to fixed point computation fails. Two simple examples are provided to illustrate these features of Aitken's method. Fixed point method, which involves the built-in function NestList, gives the same result as FindRoot.
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering
*Engineering > Chemical Engineering
Keywords

NestList, FindRoot, fixed point, Aitken's method, accelerated convergence
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aitken.nb (49.2 KB) - Mathematica Notebook