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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
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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