On 07/10/2011 08:06 PM, Edward Montague wrote:
> Awhile ago I was investigating the Variational Iteration Method.
> To be effective , as a computer program , the lambda multiplier
> needs to be determined through the appropriate code .
>
> I'm wondering if the augmented_lagranian_method , available
> through Maxima might be suitable .
>
> I've included some of my first code for the VIM and reference
> to the appropriate paper .
Not sure if someone already answered this, but since I don't see one on
the list I'll give it a try.
The Augmented Lagrangian function in Maxima is a numerical procedure for
finding numerical equality-constrained extrema. In the procedure you
reference I believe that there is a need for a *symbolic* answer to the
lagrange multiplier. Finding a symbolic answer requires some other
method. For some problems, you should be able to set up the equation
that defines the lagrange multiplier and find a symbolic solution using
either solve or to_poly_solve