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.