DocumentCode :
803371
Title :
A method to determine whether two polynomials are relatively prime
Author :
Vogt, W. ; Bose, N.
Author_Institution :
University of Pittsburgh, Pittsburgh, PA, USA
Volume :
15
Issue :
3
fYear :
1970
fDate :
6/1/1970 12:00:00 AM
Firstpage :
379
Lastpage :
380
Abstract :
In this paper, it is established that a necessary and sufficient condition for two monic polynomials 
and 
to have a common root is that ![\\det [f(B)] = 0](/images/tex/5568.gif)
or ![\\det [g(A)] = 0](/images/tex/5569.gif)
, where 
and 
are, respectively, the companion matrices associated with and . The simplicity of this method is illustrated by examples.
and to have a common root is that or , where and are, respectively, the companion matrices associated with and . The simplicity of this method is illustrated by examples.Keywords :
Poles and zeros; Polynomials; Automatic control; Control systems; Lyapunov method; Polynomials; Stability; Sufficient conditions; System testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1970.1099465
Filename :
1099465
Link To Document :
