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Explicit formulas for the multivariate resultant

✍ Scribed by Carlos D'Andrea; Alicia Dickenstein

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 220 KB
Volume: 164
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00145-6

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✦ Synopsis

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 coe cients of the given polynomials and coe cients of their Bezoutian. These formulas can also be viewed as an explicit computation of the morphisms and the determinant of a resultant complex.

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