Controllability, Bezoutian and relative primeness

B. N. Datta

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-4

Abstract:

Let f ( x ) and g ( x ) be two polynomials of degree n . Then it is well-known that the Bezoutian matrix B f g associated with f ( x ) and g ( x ) is nonsingular if and only if f ( x ) and g ( x ) are relatively prime. We give an alternative proof of this result. The proof is based on a result on controllability derived in this note.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:514931

DOI: 10.1155/S0161171280000129

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