Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-15T10:16:21.360Z Has data issue: false hasContentIssue false
  • English
  • Français

Linear fractional transforms of companion matrices

Published online by Cambridge University Press:  18 May 2009

N. J. Young
N. J. Young
Affiliation:
University of Glasgow, University Gardens, Glasgow, Scotland G12 8QW
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Questions about polynomials can be turned into questions about matrices by associating with the polynomial

(over an arbitrary field) its companion matrix

which has p/an as its characteristic polynomial. This technique is often used in stability theory, as indicated in [1]; companion matrices also occur in the theory of the rational canonical form.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 2 , July 1979 , pp. 129 - 132
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCE

1.Shane, B. A. and Barnett, S., On the bilinear transformation of companion matrices, Linear Algebra and Appl. 9 (1974), 175–184.CrossRefGoogle Scholar