Explicit polar decomposition of companion matrices

Files

DMS 651.pdf (229.72 KB)

Date

2010-01-07T00:32:13Z

Authors

van den Driessche, P.
Wimmer, H.K.

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

An explicit formula for the polar decomposition of an nxn nonsingular companion matrix is derived. This involves the largest and smallest singular values of the companion matrix.

Description

Keywords

companion matrix, polar decomposition, singular values, technical reports (mathematics and statistics)

Citation

URI

http://hdl.handle.net/1828/2040

Collections

Faculty and Staff Publications
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.