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Question: FixedPointIteration of Maple

Question:FixedPointIteration of Maple

Alger 524 Maple 14
April 04 2011
0

Hi,

I'm teaching numerical analysis with Maple and then I started with fixed iteration method.

When I programed the method which is simple, I got the solution as:

restart:with(Student[NumericalAnalysis]):

f := x->2*tan(x)-x-1;

g := x->arctan((1/2)*x+1/2);   # fixed point method where the solution of x=g(x) is the the solution f(x)=0

x[0] := 0.2; for k from 0 to 20 do x[k+1] := evalf(g(x[k])) end do; this line give the solution

But

FixedPointIteration(f(x), x = .2, tolerance = 10^(-2));  # command of maple

Error, (in Student:-NumericalAnalysis:-Roots) maximum number of iterations (100) exceeded

The commande don't give the solution. Why ?

Thanks in advance

 
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