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