A Jacobi-Davidson Method for Computing Partial Generalized Real Schur Forms

Tycho van Noorden () and Joost Rommes ()
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Tycho van Noorden: Eindhoven University of Technology, Department of Mathematics and Computer Science
Joost Rommes: Utrecht University, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 963-971 from Springer

Abstract: Abstract In this paper, a new variant of the Jacobi-Davidson method is presented that is specifically designed for real unsymmetric matrix pencils. Whenever a pencil has a complex conjugated pair of eigenvalues, the method computes the two dimensional real invariant subspace spanned by the two corresponding complex conjugated eigenvectors. This is beneficial for memory costs and in many cases it also accelerates the convergence of the JD method. In numerical experiments, the RJDQZ variant is compared with the original JDQZ method.

Keywords: Invariant Subspace; Correction Equation; Generalize Eigenvalue Problem; Matrix Pencil; Complex Arithmetic (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_96

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DOI: 10.1007/978-3-540-34288-5_96

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