[SciPy-user] sparse generalized eigenvalue solver

Nils Wagner nwagner@iam.uni-stuttgart...
Wed Mar 14 08:37:51 CDT 2007


Robert Cimrman wrote:
> Hi all,
>
> I need to solve a problem of the type
>
> D * u = nu * M * u, nu .. eigenvalues, u .. eigenvectors
>
> where M = B * A^-1 B^T, the matrices come from a linear system of the
> following structure:
>
> A * u - B^T * d/dt p = 0
> B * u + D * p = 0
>
> For curious, A is a linear elasticity matrix, B^T, B discrete grad, div
> operators and D a diffusion matrix; it is related to modeling deformable
> porous medium.
>
> I need all the eigenvalues/eigenvectors. M cannot be formed explicitely
> in real situations, it will be available via its 'matvec' action. All
> matrices are stored in the CSR format.
>
> I am aware of the ARPACK being included in the scipy.sandbox - what is
> its status? What other software (Python-ready or not) I should look at?
>
> Thanks,
> r.
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> SciPy-user@scipy.org
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>   


LOBPCG looks promising.
I have filed a ticket
http://projects.scipy.org/scipy/scipy/ticket/373

Trilinos includes Anasazi. Unfortunately Pytrilinos doesn't support
Anasazi right now.
http://software.sandia.gov/trilinos/packages/anasazi/

http://www.sandia.gov/~rblehou/*anasazi*-toms.pdf

There is SLEPc which is based on PETSc.
http://www.grycap.upv.es/slepc/

Cheers,


                     Nils

 


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