Solving systems of algebraic equations by a general elimination method

Authors:
Hidetsune Kobayashi;Tetsuro Fujise;Akio Furukawas
Affiliations:
Dept of Mathematics, College of Science & Technology, Nihon University, Kanda-surugadai 1-8, Chiyoda-ku, Tokyo, Japan/;Mitsubishi Research Institute, Otemachi 2-3, Chiyoda-ku, Tokyo, Japan;SEG, Nishi-Shinjuku 7-13-12-402, Shinjuku-ku, Tokyo, Japan
Venue:
Journal of Symbolic Computation
Year:
1988

Citing 1
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Abstract

A method of factorisation of a U-resultant into linear factors is given. Using this method we can obtain solutions and their multiplicities of a system of algebraic equations, provided the system of algebraic equations has finitely many solutions. We directly calculate a matrix A which gives all solutions of the system by using a Grobner basis of the ideal generated by the polynomials of the system of algebraic equations.