[petsc-users] advice on an eigenvalue problem with special structure

[Matthew Knepley]

On Thu, Jul 19, 2012 at 3:44 AM, Umut Tabak <u.tabak at tudelft.nl> wrote:

> Dear all,
>
> After some projection operations, I am ending up with a dense generalized
> non-symmetric eigenvalue problem, such as
>
> A\phi = \lambda B\phi
>
> where A and B are given as
>
> [A11 A12]
> [ 0    A22]
>
> [B11    0   ]
> [B21   B22]
>
> So there are two large 0 blocks in A and B. Moreover, B21 = -A12^T, I was
> wondering if I can tailor some efficient solver for these matrices with
> large zero blocks?
>
> Any ideas and pointers are appreciated highly.
>

You can try using MatNest for the two matrices, and MatTranspose for B21.

    Matt


> Best regards,
> Umut
>
>


-- 
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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