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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
A projection method for the computation of inner eigenvalues using high degree rational operators
Wolfgang Hackbusch and Wendy KressAbstract
To efficiently calculate only part of the spectrum of a matrix, one can use a projection onto a suitable subspace. In this work, we present a technique to efficiently calculate such a projection without knowledge of the spectrum. The technique requires only few matrix-matrix products and inversions, which for some classes of matrices, like the
- Received:
- 08.06.07
- Published:
- 08.06.07
- Keywords:
- eigenvalue computation