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

Umut Tabak u.tabak at tudelft.nl
Thu Jul 19 03:44:41 CDT 2012

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.

Best regards,

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