Subject: Help in Mathematics.

From: Norge Cruz Hern�ndez <[email-masked]>
Date: Wed, 10 Sep 1997 16:10:22 -0400 (CDT)

Hi,

I am trying to solve an optimization problem.
It is the core of my quantum chemistry research.

The problem is the following  :
 Min.  F(X1,X2,...Xn,Y1,Y2,....Yn) 
 
Constrained :
         X1*X1+Y1*Y1=X1
         X2*X2+Y2*Y2=X2
          ..............................
         Xn*Xn+Yn*Yn=Xn
       
and 
         2*(X1+X2+X3+     Xn) = Ne

I used  The gradient projection method. It was a good method when the 
number n was not very large, but when n is very large it is not 
possible.  

Would you give me any idea ? ? ?  

Your help will be very important for me.

Best regard 
Norge