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,