Re: minimize with complex numbers

*To*: mathgroup at smc.vnet.net*Subject*: [mg91267] Re: minimize with complex numbers*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Tue, 12 Aug 2008 04:47:31 -0400 (EDT)*References*: <g7p32p$b07$1@smc.vnet.net>

Hi, a complex function map the complex plane into the complex plane. Can you explain what a "Minimum" is for a maping of a plane into a plane ?? Regards Jens shama shahbaz wrote: > hi , > when i use minimize command with real numbers i get the required answer but > with complex number it doesnt give me any answer or error > > Syntax::sntxb : Expression cannot begin with "(1+1 i) ` x[1]+(1-1 i) ` x[2]". > Syntax::tsntxi : "(1+1 i) ` x[1]" is incomplete; more input is needed. > Syntax::sntxi : Incomplete expression; more input is needed. > > > My minimize expression is > > ((1+1i)*x[1] +(1-1i)*x[2] )^2 +(x[1]+x[2])^2 > > in Mathematica it becomes > > Minimize[{( x[1]+x[2])2 > +((1+1i)x[1]+(1-1 i)x[2])2},{x[1],x[2]}] > > > i want my answer to be in complex number come somebody tell me where i am wrong > > thanx >