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,