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Sparse Matrix Inversion using PETSc



Hi all,

I am currently investigating the best way to perform the inversion of a large sparse matrix and came upon the idea of using PETSc as a framework for testing various strategies from direct to iterative methods on my sample matrices. In this setup for an NxN sparse matrix A I would have N rhs's representing the Identity matrix and then solve for X. I wanted to experiment with both parallel and serial strategies ranging from LU Decomposition using SuperLU, MUMPS etc. to iterative methods using GMRES etc. Am I right in thinking that all this can be done in PETSc by setting up a core framework and then varying the solver methods etc?

I have looked over the sample KSP Solver codes although they only seem to suggest single vectors for x and b. Can this be changed to accept multiple vectors? Can anyone suggest a sample code that maybe demonstrates the sort of thing I want to achieve...if it is in fact possible.

Thanks in advance for any assistance given,

Regards,

Tim.