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MathGroup Archive 2007

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solution to undetermined linear equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg83942] solution to undetermined linear equation
  • From: shama shahbaz <shammashahbaz at yahoo.com>
  • Date: Wed, 5 Dec 2007 07:09:05 -0500 (EST)

hi
   
  my basic problem is i have a matrix  13*3  of values 
   
  -0.2028            0.12778    -0.09129
  0.1278             -0.09129    0.07089
  -0.09129           0.07089     -0.05731
  0.07089            -0.05731     0.04902
  -0.05731             0.04902     -0.04188
  0.04902             0.04188        0.03747
   
  .............
  ............
   
   
  i want to find wieght factors which when applied to above values would result in a value close to 0 
   
  such as 
   
  -0.2028  g1 +  0.1278  g2 +   -0.09129 g3 +0.07089 g4+........................g13=min
   0.12778 g1+-0.09129g2 + 0.07089 g3  +   -0.05731g4+.........................g13=min
   -0.09129g1+0.07089g2+   -0.05731g3  +    0.04902 g4+........................g13=min
   
   
  howeverthe values of g's should be subjected to the constraint
   
  g1+g2+g3+.........................g13=13 and all the wieghts must be nonzero 
   
  Is it possible 
   
  thankyou for your patience
  regards,

       


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