=ADD=
=reftype=
14
=number=
99-01
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1999/99-01.ps.gz
=year=
1999
=month=
01
=author=
Bikker; Piet + Uteshev; Alexei Yu.
=title=
On the B\'{e}zout Construction of the Resultant
=abstract=
This paper deals with some idea of B\'{e}zout and his successors
Poisson, Netto and Laurent for solving polynomial systems.
We treat them from the determinantal and from the Gr\"{o}bner
basis point of view.
This results in effective algorithms for constructing the multivariate
resultant.
Other problems of the Elimination Theory are discussed: how to find
an eliminant for a polynomial system, how to represent its zeros
as the rational functions of the roots of this eliminant and how to
separate zeros.
=sponsor=