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Need Efficient Matrix Regression Method

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37928] Need Efficient Matrix Regression Method
  • From: Moranresearch at aol.com
  • Date: Tue, 19 Nov 2002 20:59:14 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Could someone suggest an effcient method for the following

I have a data set comprised on mutiple instances of three types of vectors 
A={a1,a2,a3}, B={b1,b2,b3},C={c1,c2,c3}
These vector are each transformed by method M into a 2x 2 matix
MA={{a11,a12},{a21,a22}}
MB={{b11,b12},{b21,b22}}
MC={{c11,c12},{c21,c22}}

The goal is to find the transfer function T by regression ( polynomial, 
mutiple linear etc) such that MB-MA = T [MC], then to find T inverse so if 
one know MA ,MB they can predict MC.
Thank you.
John



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