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Optimzation problem

Optimzation problem  
Luc Dal
From:Luc Dal
Subject:Optimzation problem
Date:Mon, 24 Jan 2005 09:45:16 +0100
Hello,
Let I_ij and E_ij be 2 square real matrix of size n and a and b 2 vectors.
I want to solve the following equations : a_j*I_ij = b_i*E_ij (where i ~=
j)
As the system is overdefined I will miminize (a_j*I_ij - b_i*E_ij)^2 under
the constraint sum(sum(a_j*I_ij + b_i*E_ij))=sum(sum((I_ij)).
How can I solve this ?
Thanks for your help
Luc
   

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