On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation
type: Item
instance of: scholarly article
title: On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation
zbMATH Open document ID: 0588.65028
DOI: 10.1016/0024-3795(86)90025-X
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: A Wielandt type deflation is described for a matrix pencil A-\(\lambda\) B with singular B. It subtracts low rank matrices constructed from the eigenvectors of successive subproblems, until a problem with a regular B matrix is obtained. The behaviour of the deflation when rounding errors are present is discussed, and it is shown how symmetry can be preserved.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 3945254
zbMATH Keywords: Wielandt deflation
zbMATH Keywords: invariant subspace
zbMATH Keywords: symmetry preserving method
zbMATH Keywords: matrix pencil
author: W. Lin
reviewed by: Axel Ruhe
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3945254