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Re: Q: Solving Numerical Matrix-Equation

• To: mathgroup at smc.vnet.net
• Subject: [mg35621] Re: [mg35587] Q: Solving Numerical Matrix-Equation
• From: Sseziwa Mukasa <mukasa at jeol.com>
• Date: Tue, 23 Jul 2002 01:51:27 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

On Sunday, July 21, 2002, at 01:01 AM, Christoph Handel wrote:

>    howdy,
>
> i have a Problem of the Form
>
> M . v == 0
>
> where M is a complex, numerical, 8x8 Matrix and v is an Vector with
> eight unkown elements.
>
> M depends on one parameter x (real).
>
> There is no exact solution vor this equation. I will plot
>
> Abs[Det[M[x_]]]
>
> and watch for a local minimum. This way i can say: "x must be something 
> like
> ... or ... or". Now I need to get the vector v in this point x.
>
> Any hints for a nice function to complete this task?
>
>

NullSpace will give you the v's.  In fact, NullSpace works with symbolic 
expressions, so if the terms that make up M are not too complicated you 
can solve this problem entirely with NullSpace[M] and avoid the search 
for zeroes of the determinant entirely.

Regards,

Ssezi