New algorithms for the iterative refinement of estimates of invariant subspaces

Authors:
K. Hüper;P. Van Dooren
Affiliations:
Department of Mathematics, Würzburg University, Am Hubland, D-97074 Würzburg, Germany;Department of Mathematical Engineering, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
Venue:
Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control
Year:
2003

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Abstract

New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. We use global analysis to show local quadratic convergence of our method under mild conditions on the spectrum of the matrix.