[CSC 335] Fixed Points

[Andrew J. Pounds]

So I didn't assign problem 1 in section 2.2 -- but it demonstrates a
point that is shown in the illustration on page 60 of your text -- there
are generally MANY ways to come up with a fixed point equation.  In
class I basically went over the "what to do when you get stuck case" --
i.e. -- use Mathematica to come up with an inverse.  But in a lot of
cases you can come up with simpler versions of the function that provide
you with a fixed point function.

For example -- in problem 14.c in section 2.2, you could use the fixed
point equation x=sqrt(exp(x)/3) which should find the root around 0.91
if you plug in values on the domain they suggest.


-- 
Andrew J. Pounds, Ph.D.  (pounds_aj at mercer.edu)
Professor of Chemistry and Computer Science
Director of the Computational Science Program
Mercer University,  Macon, GA 31207   (478) 301-5627

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