Parallel arnoldi method for the construction of a Krylov subspace basis: An application in magnetohydrodynamics

Abstract

In a recent article [6] a new method was proposed for computing internal eigenvalues of symmetric matrices. In the present paper we extend these ideas to non-hermitian eigenvalue problems and apply them to a practical example ~ from the field of magnetohydrodynamics (MHD). The method is very suitable for an efficient parallel implementation. We give some results for the time-consuming kernels of the underlying orthogonalization process, the Arnoldi method, obtained for an MHD problem on a distributed memory multiprocessor.