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| Title: | Perturbation Theory for Rectangular Matrix Pencils |
| Authors: | Stewart, G. W. |
| Type: | Technical Report |
| Issue Date: | 15-Oct-1998 |
| Series/Report no.: | UM Computer Science Department; CS-TR-2721
UMIACS; UMIACS-TR-91-105 |
| 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) |
| URI: | http://hdl.handle.net/1903/558 |
| Appears in Collections: | Technical Reports of the Computer Science Department
Technical Reports from UMIACS
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