[petsc-users] Dense matrix solver

Matthew Knepley knepley at gmail.com
Fri Sep 20 05:41:10 CDT 2013

On Thu, Sep 19, 2013 at 8:30 PM, Jed Brown <jedbrown at mcs.anl.gov> wrote:

> Frank <fangxingjun0319 at gmail.com> writes:
> > Hi,
> >
> > I am thinking of solving a linear equations, whose coefficient matrix
> > has 27 nonzero diagonal bands(diagonal dominant). Does any body have any
> > idea about how this will perform? Do you have any recommendation about
> > which solver to choose?
> How far away from the diagonal are those bands, as a function of the
> grid size (if relevant)?
> http://scicomp.stackexchange.com/a/880/119
> http://scicomp.stackexchange.com/a/869/119

If your matrix/preconditioner has bandwidth K which is small and is
diagonally dominant,
you can solve it efficiently using



> > I have solved a 11 nonzero diagonal bands matrix equation with
> > "boomeramg", which is 50% solwer than 7 nonzero diagonal bands.
> This doesn't mean much of anything.  Send -log_summary if you have
> performance questions.
> Why does the subject of this email say "dense"?

What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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