On Jan 11, 9:03 pm, "William Stein" <[EMAIL PROTECTED]> wrote:
> On Jan 11, 2008 10:15 AM, Robert Boyer <[EMAIL PROTECTED]> wrote:
>
> > Dear Professor Stein -
>
> > I have been reading about sage and am wondering if it
> > incorporates the software developed by Dario Bini MPSolve for
> > polynomial root finding.
>
> MPSolve is not in Sage. Unfortunately it can never be a standard part of
> Sage under its current license, which is (very) GPL incompatible,
> since MPSolve is only for academic use:
> http://www.dm.unipi.it/cluster-pages/mpsolve/copyright.htm
> If the authors could be convinced to change the license then
> maybe MPSolve could be included in Sage.
Paul Zimmermann did mention MPSolve to me after Sage Days 6 and
mentioned that it was quite capable. But I come to the same conclusion
as you, i.e. the licensing issue. I know some people in Pisa I could
contact about this, unless somebody else wants to do it.
Cheers,
Michael
> That said, it certainly wouldn't be impossible to create a Sage <--> MPSolve
> C library interface and distribute MPSolve as an optional Sage package.
> We just distribute Sage and MPSolve together as a single package.
>
> > I have used MPsolve in exploring the zeros of high degree
> > polynomials from combinatorics and number theory.
>
> Sage has a new very powerful real root isolation algorithm that
> Carl Witty recently designed and implemented. This might
> be of use to you. It finds intervals with rational endpoints each
> of which contains exactly one real root:
>
> sage: x = polygen(QQ)
> sage: f = x^97 + x^3 - 3*x + 5
> sage: f.real_root_intervals()
> [((-21/20, -9/10), 1)]
>
> > I have two papers posted on the arxiv
>
> > arXiv:0711.1400
>
> > arXiv:0711.1373
>
> > that describe some of this research.
>
> > It would be great to have a unified environment for my
> > computations.
>
> I agree! I hope Sage can be that environment.
>
> > Best -
>
> > Robert Boyer
>
> > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > Robert Boyer
> > Professor of Mathematics
> > Drexel University
> >www.math.drexel.edu/~rboyer
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washingtonhttp://wstein.org
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