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Using results of "Solve"

• To: mathgroup at smc.vnet.net
• Subject: [mg25693] Using results of "Solve"
• From: Helge Kreutzmann <helgek at studserv.stud.uni-hannover.de>
• Date: Thu, 19 Oct 2000 04:35:20 -0400 (EDT)
• Organization: Universitaet Hannover
• Sender: owner-wri-mathgroup at wolfram.com

Hello !
I have a series of matrices which depend on several parameters. I can
create those matrices fine and display them. They are called

S[k_,m_,b_,n_]

Now there is an unkown called "q" in the matrix which is evaluated by
setting the determinant of the matrix zero and solving the resulting
equation for q:

Solve[Det[S[2, m, b, 2]] == 0, q]

Now I want to use this function. The result is given in a form like:
{{ q -> rhs1 },{ q -> rhs2}} and so on. I would like now to plot q.

A colleque gave me the following "hack":
h =.;
h[m_, b_] := Solve[Det[S[2, m, b, 2]] == 0, q];
Plot3D[q  /. h[m, b] [[2]], {m, 0, 3}, {b, 0, 3}]

Is there a more straightforward way ? Especially I would like to create
several functions this way and their sum is the resulting function I
am interested in (actually it's a series).

Regards

         Helge

• Follow-Ups:
  • Re: Using results of "Solve"
    • From: Daniel Lichtblau <danl@wolfram.com>