Explicit formulas for the multivariate resultant

[摘要] We present formulas for the multivariate resultant as a quotient of two determinants. They extend the classical Macaulay formulas, and involve matrices of considerably smaller size, whose non-zero entries include coefficients of the given polynomials and coefficients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex. (C) 2001 Elsevier Science B.V. All rights reserved.

[发布日期] 2001-10-24

[效力级别]  Proceedings Paper