Looking for a 64-bit build with large memory limit

On 05/12/2007, Stavros Macrakis <macrakis at alum.mit.edu> wrote:
> On Dec 5, 2007 10:02 AM, Paul Richards <paul.richards at gmail.com> wrote:
>
> > ...I think it has an 8GiB
> > limit by default, which for what I'm trying to solve still wasn't
> > enough.
> >
> > I think I need to bite the bullet and find a more intelligent way of
> > solving my equations; rather than just blindly plugging them into some
> > CAS software.
> >
>
> There are very few symbolic problems where Maxima can do anything useful in
> a reasonable amount of time with that much memory.  And even when it could,
> its algorithms aren't suitable even for smallish cases.  For instance:

[snip stuff about bad algorithm growth]


> If they are strictly numeric problems, then there are surely better systems
> to address them.
>
> What kind of equations are they?

(1-x)*(1-y)*(1-z)*A + (x)*(1-y)*(1-z)*B + (1-x)*(y)*(1-z)*C +
(x)*(y)*(1-z)*D + (1-x)*(1-y)*(z)*E + (x)*(1-y)*(z)*F +
(1-x)*(y)*(z)*G + (x)*(y)*(z)*H = P

All capital letters are 3 element vectors, the others are scalars.
Need to simultaneously solve for x, y, and z when given all the
vectors.  I am only interested in solutions where x, y, and z are in
the range [0, 1].

(The crux of the equation is tri-linear interpolation between 8 vectors.)



-- 
Paul Richards