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Sparse solver for large symmetric matrices

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Salvo on 18 Mar 2014
Commented: Christine Tobler on 28 Feb 2023
I have available large sparse matrices from a FEM software (ANSYS) to use for an eigenvalue problem.
The problem is i can not store 10^6 x 10^6 sparse matrices in matlab because it is too big.
Did anybody experienced and solved similar problem?
ANsys allows to convert in harwell boeing format these matrices, which are sparse, but then i can't store inside matlab and use them for apply a banal eigen value problem using for example the routine "eigs".
Thanks for the help
Matt J
Matt J on 18 Mar 2014
10^6 x 10^6 isn't a very large size for a sparse matrix. If it's not fitting in memory, it most likely means the number of non-zero entries is inappropriately large.
Christine Tobler
Christine Tobler on 28 Feb 2023
Can you say more about how you are loading this matrix into MATLAB, and how big the file you are trying to import is?
If you are able to export this sparse matrix as a simple list of triplets (row index, column index, value), or in matrix market format, this would probably be easier to import. All code for importing harwell-boeing matrices I found online seems to just be dead links to previously existing code.

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Answers (1)

Andrew Knyazev
Andrew Knyazev on 15 May 2015
both eigs and can be used in a matrix-free fashion, only needing a function the performs the matrix-vector products that the user can provide.

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