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Re: Complex Hadamard Matrix

• To: mathgroup at smc.vnet.net
• Subject: [mg14275] Re: Complex Hadamard Matrix
• From: Alan Lewis <alan at enfs.com>
• Date: Mon, 12 Oct 1998 13:51:54 -0400
• Organization: @Home Network
• References: <6vf5rd$di5@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Hi,
 The problem doesn't seem well-defined to me; take the 1-D case where
the right-hand-side is exp(i theta) for some angle theta. This would be
complex in general. But the left-hand-side is a positive real, so
unless theta is 0,2 Pi, etc., there would be no solution.

Alan 

Hideya YAMAMURA wrote:
> 
> Hi,
> 
> There is some complex matrix A, which is 8 x 8's square matrix.
> 
>         A * B = n E
> 
> B shows complex conjugate transpose matrix of A, * means multiply, n is
> number of column or row. Additionally, E means unitary matrix. The
> element of A takes +1, -1, +i, or -i.
> 
> In mathematica, I would like to know how to solve before mentioned
> equation.
> 
> Thank you so much for any help or suggestion.
> 
> Hideya Yamamura
> 
> --
> ---------------------------------------
>  ($B3t(B)$BK-ED<+F0?%5! at =:n=j(B  $B5;=Q3+H/8&5f=j(B
>        $B;3B<(B $B=(Lo(B (Hideya Yamamura) Phone: 0562-48-9115/Fax:
> 0562-48-9180 E-mail: ymura at rdc.toyota-shokki.co.jp
> ---------------------------------------