Would you post this Mathematica question to news group for me, please?
- To: <MathGroup at yoda.physics.unc.edu>
- Subject: Would you post this Mathematica question to news group for me, please?
- From: andrew at ll.mit.edu (Andrew Hecht)
- Date: Mon, 29 Jun 92 02:35:54 -0400
I have a problem with mathematica, version 2.0 (on NeXT): When I
perform the following iteration using numbers with high precision, I
get erroneous results. For example, with
a =
3.750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
and
t = a/2
and using the following iteration technique:
x = t; Do[Print[x]; x = a x - x^2 ,{140}] ; N[x,80]
the results for the 135th through 140th iteration are
3.0, 2.0, 0.0, 0.0
I get the same result when the following technique is used:
NestList[f, t , 140] ,
where f is the following:
f[x_] = a x - x^2
Has any one out there encountered a similar problem or know of a
solution?
andrew hecht
andrew at ll.mit.edu