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D-resultant and subresultants
Author(s):
M'hammed
El Kahoui
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2193-2199.
MSC (2000):
Primary 13P05
Posted:
March 4, 2005
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Abstract:
We establish a connection between the D-resultant of two polynomials  and  and the subresultant sequence of  and  . This connection is used to decide in a more explicit way whether  or ![$\mathcal{K}[f(t),g(t)]=\mathcal{K}[t]$](/proc/2005-133-08/S0002-9939-05-07850-0/gif-abstract0/img6.gif) . 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:
10.1090/S0002-9939-05-07850-0
PII:
S 0002-9939(05)07850-0
Keywords:
{\it D}-resultant,
subresultant sequence
Received by editor(s):
June 24, 2003
Posted:
March 4, 2005
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2005,
American Mathematical Society
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