Perturbation Theory for Rectangular Matrix Pencils
Perturbation Theory for Rectangular Matrix Pencils
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Date
1998-10-15
Authors
Stewart, G. W.
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Abstract
The theory of eigenvalues and eigenvectors of rectangular matrix
pencils is complicated by the fact that arbitrarily small
perturbations of the pencil can cause them disappear. However, there
are applications in which the properties of the pencil ensure the
existence of eigenvalues and eigenvectors. In this paper it is shown
how to develop a perturbation theory for such pencils.
(Also cross-referenced as UMIACS-TR-91-105)