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Re: minimize with complex numbers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91272] Re: minimize with complex numbers
  • From: Torsten Hennig <Torsten.Hennig at umsicht.fhg.de>
  • Date: Wed, 13 Aug 2008 04:38:36 -0400 (EDT)

> 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
> r 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 methamatica 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 
> 

The complex number field can not be ordered ; 
so minimization of a complex expression does not 
make sense.
Maybe you want to minimize the norm of a complex 
expression ?

Best wishes
Torsten.


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