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Feb 17, 2012 at 3:08 comment added Kirk S. @rcompton Absolutely! Here is a reference by Ronald Morgan that may be a good starting point: Computing interior eigenvalues of large matrices. Linear Algebra Appl. 154/156 (1991), 289–309.
Feb 16, 2012 at 23:36 comment added dranxo @Kirk I've never worked with those before. Is there a standard reference?
Feb 16, 2012 at 6:48 comment added Kirk S. @rcompton, just to be clear, I am not talking about regular Ritz vectors. I am talking about harmonic Ritz vectors which yield approximations to eigenvectors associated to eigenvalues near the origin (the so-called interior eigenvalues).
Feb 13, 2012 at 18:05 comment added dranxo Yes Ritz vectors should improve over the Lanczos method. I suppose if the Lanczos idea can work then this will work better.
Feb 11, 2012 at 16:12 history answered Kirk S. CC BY-SA 3.0