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A Parallel Davidson-Type Algorithm for Several Eigenvalues
Journal article   Peer reviewed

A Parallel Davidson-Type Algorithm for Several Eigenvalues

Leonardo Borges and Suely Oliveira
Journal of computational physics, Vol.144(2), pp.727-748
08/10/1998
DOI: 10.1006/jcph.1998.6003

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Abstract

In this paper we propose a new parallelization of the Davidson algorithm adapted for many eigenvalues. In our parallelization we use a relationship between two consecutive subspaces which allows us to calculate eigenvalues in the subspace through an arrowhead matrix. Theoretical timing estimates for the parallel algorithm are developed and compared against our numerical results on the Paragon. Finally our algorithm is compared against another recent parallel algorithm for multiple eigenvalues, but based on Arnoldi: PARPACK.

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