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Topic: Terrible algebraic system
Replies: 18   Last Post: Mar 8, 2012 4:26 AM

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deltaquattro@gmail.com

Posts: 77
Registered: 7/21/06
Re: Terrible algebraic system
Posted: Feb 24, 2012 5:17 AM
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Hmmm! Tried following this approach, i.e. solving f(b)=0 with Netwon's and then plugging b in a=g(b), but it doesn't work. The solution doesn't satisfy the initial system. Try for example

L=-1
U=1
p=0.0013498980316301

I get

a=-1
b=1

which clearly is wrong, i.e., a and b don't solve the initial system, even though f(b)=f(1)=0 and a=g(b)=g(1)=-1. I rewrite the initial system here:

((a-L)^2/a)*(2/(a+b))-p=0
((b-U)^2/b)*(2/(a+b))-p=0

Am I doing something wrong, or is FriCAS/Derive solution wrong?



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