Re: squared norm in Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg85796] Re: squared norm in Mathematica*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Fri, 22 Feb 2008 07:24:03 -0500 (EST)*Organization*: Uni Leipzig*References*: <fpkvh4$hmo$1@smc.vnet.net>*Reply-to*: kuska at informatik.uni-leipzig.de

Hi, Set[] written as "=" has nothing to do with Equal[] written as "==" and FindMinimum[] need Equal[] and *not* Set[] Regards Jens syed qasim Ali wrote: > Dear Sir, > My problem was actually > > ||SX||^2 > i was trying it as multiobjective optimiztaion in Mathematica but i g= ot to know that it can be programmed as single objective .... > > > ||SX||^2=(a11*x1 + a12*x2 + a13*x3)^2 + (a21*x1 + a22*x2 + > a23*x3)^2 + (a31*x1 + a32*x2 + a33*x3)^2. > > > therefore my problem becomes > > x1 >= 0.52, <= 1.47; > x2 >= 0.52, <= 1.47; > x3 >= 0.52, <= 1.47; > x4 >= 0.52, <= 1.47; > > > > minimize : ( ((-0.22*x1)+(0.13*x2)+(-0.09*x3)+(0.07*x4))^2 + > ((-0.13*x1)+(0.09*x2)+(-0.07*x3)+(0.058*x4))^2 +((-0.09*x1)+(0.07*x2)+ > (-0.058*x3)+(0.049*x4))^2); > > > subject to: > -4+x1^2+x2^2+x3^2+x4^2=0; > > > IN Mathematica it becomes > > FindMinimum[{(-0.22 g1+0.13 g2-0.09 g3+0.07 g4)2+(-0.13 x1+0.09 x2-0.= 07 x3+0.058 x4)2+(-0.09 x1+0.07 x2-0.058 x3+0.049 x4)2,-4+x12+x22+x32+x42= =0&&0.52=A3x1=A31.47,0.52=A3x2=A31.47,0.52=A3x3=A31.47,0.52=A3x4=A31.47= },{x1,x2,x3,x4}] > > > i have this result when i tried this problem in Mathematica ....i gu= ess Mathematica can handle this problem > > Set::write : Tag Plus in > -4+x12+x22+x32+x42 is Protected > FindMinimum::eqineq : Constraints in {0,0.52=A3x1,0.52=A3x2,0.52=A3x3= ,0.52=A3x4,x1=A31.47,x2=A31.47,x3=A31.47,x4=A31.47} are not all equality = or inequality constraints. With the exception of integer domain constrain= ts for linear programming, domain constraints or constraints with Unequal= (!=) are not supported. > > i donot understand where the fault lies ...when i have only one objec= tive function > > > thanx > >