
Re: Terrible algebraic system
Posted:
Feb 24, 2012 5:17 AM


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:
((aL)^2/a)*(2/(a+b))p=0 ((bU)^2/b)*(2/(a+b))p=0
Am I doing something wrong, or is FriCAS/Derive solution wrong?

