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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

D-resultant and subresultants


Author: M'hammed El Kahoui
Journal: Proc. Amer. Math. Soc. 133 (2005), 2193-2199
MSC (2000): Primary 13P05
DOI: https://doi.org/10.1090/S0002-9939-05-07850-0
Published electronically: March 4, 2005
MathSciNet review: 2138859
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Abstract: We establish a connection between the D-resultant of two polynomials $f(t)$ and $g(t)$ and the subresultant sequence of $f(t)-x$ and $g(t)-y$. This connection is used to decide in a more explicit way whether $\mathcal{K}(f(t),g(t))=\mathcal{K}(t)$ or $\mathcal{K}[f(t),g(t)]=\mathcal{K}[t]$. We also show how to extract a faithful parametrization from a given one.


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Additional Information

M'hammed El Kahoui
Affiliation: Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O Box 2390, Marrakech, Morocco
Address at time of publication: Max-Planck Institute für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany
Email: elkahoui@ucam.ac.ma, elkahoui@mpi_sb.mpg.de

DOI: https://doi.org/10.1090/S0002-9939-05-07850-0
Keywords: {\it D}-resultant, subresultant sequence
Received by editor(s): June 24, 2003
Published electronically: March 4, 2005
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2005 American Mathematical Society