error - system too complex



thanks to everyone who helped me .

On Wed, 2005-06-22 at 10:39 -0400, Stavros Macrakis wrote:
> On the other hand, solving for F symbolically seems intractable in
> general, since there are subexpressions of the form F*exp(F*k) and
> F+exp(F), making the equations non-algebraic (and not algebraic in
> exp(F), either).  But perhaps there is some structure in these
> particular equations that I am missing. 
These equations are part of a model for measuring the reliability of a
software product (Musa model ) . I have to find the absolute maximum of
the function  G(N,F) , so i need to equal both   the partial derivatives
of G(N,F) to zero. The problem is, every solution of this system could
be a  maximum or a minimum of G .
so i have to find all the solutions of the system , even numerically, ,
and then to see for which values  the second derivative is < 0 .
i' ve found another problem with maxima , under some circumstances the
mnewton script crashes . see the attachment .
i'm running maxima 5.9.1 on debian 3.1 , and the mnewton script version
is  1.3 .

Attached file: test3.out.zip