Structured Matrix Methods Computing the Greatest Common Divisor of Polynomials

This paper revisits the Bézout, Sylvester, and power-basis matrix representations of the greatest common divisor (GCD) of sets of several polynomials. Furthermore, the present work introduces the application of the QR decomposition with column pivoting to a Bézout matrix achieving the computation of...

Full description

Bibliographic Details

Published in:	Special Matrices
Main Authors:	Christou Dimitrios, Mitrouli Marilena, Triantafyllou Dimitrios
Format:	Article
Language:	English
Published:	De Gruyter 2017-10-01
Subjects:	sylvester matrix bézout matrix qr decomposition singular value decomposition
Online Access:	https://doi.org/10.1515/spma-2017-0015