Application of the Implicitly Updated Arnoldi Method with a Complex Shift-and-Invert Strategy in MHD
1995; Elsevier BV; Volume: 118; Issue: 2 Linguagem: Inglês
10.1006/jcph.1995.1102
ISSN1090-2716
AutoresM.N. Kooper, H.A. van der Vorst, Stefaan Poedts, J. P. Goedbloed,
Tópico(s)Quantum chaos and dynamical systems
ResumoThe implicitly updated Arnoldi method introduced by Sorensen with an internal QR-iteration is a very useful eigenvalue solver for nonsymmetric eigenvalue problems. To make this method rigorous in finding internal eigenvalues, a complex shift-and-invert strategy is used. Therefore a complex variant of the method has been constructed and the method has been compared with a Lanczos method, as implemented by Cullum et al., for a practical problem in magnetohydrodynamics.
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