Hybrid Dixon Resultants
Author
Chionh, Eng-Wee; Goldman, Ronald; Zhang, Ming
Date
May 13, 1998Abstract
Dixon [1908] describes three distinct homogeneous determinant representations for the resultant of three bivariate polynomials of bidegree(m,n). These Dixon resultants are the determinants of matrices of orders 6mn, 3mn and 2mn, and the entries of these matrices are respectively homogeneous of degrees 1, 2, and 3 in the coefficients of the original three polynomial equations. Here we mix and match columns from these three Dixon matrices to construct a large assortment of new hybrid determinant representations of orders ranging from 2mn to 6mn for the resultant of three bivariate polynomials of bidegree (m,n).
Citation
Type
Technical report