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
>

```

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