maple10 code

one possibility

Comment on 2008-05-03 21:08 from Joe Riel ( Maple Rating 4

1260)

x := 2.: # try with a rational!
to 20 do
    x := exp(-x/2);
end do:
x;

which one is more accurate?better?

Comment on 2008-05-03 22:31 from casperyc ( Maple Rating 2

145)

> restart:
> n:=1:
> x[n]:=exp(1)^(-1/2):
> while n<21 do
> x[n+1]:=exp(1)^(-x[n]/2):
> n:=n+1:
> od:
> evalf(%%);

> x := 1: # try with a rational!
> to 20 do
> x := exp(-x/2);
> end do:
> evalf(x);

Thanks

Which one?

Comment on 2008-05-04 02:02 from Robert Israel ( Maple Rating 4

1555)

One of the easiest ways to make Maple crash is to iterate a function only slightly more complicated than this one using exact expressions rather than floats. Just about any function that contains the variable x in more than one place will do. The iterates rapidly get more and more complicated, eventually using up all available memory. So, in general, it's much better to insert an evalf into your loop, e.g.

to 20 do
x := evalf(f(x))
end do:

maple10 code

one possibility

which one is more accurate?better?

Which one?

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