Please use this identifier to cite or link to this item: https://doi.org/10.1109/38.365007
Title: Elimination and resultants. Part 2: Multivariate resultants
Authors: Wee, Chionh Eng 
Goldman, Ronald N.
Issue Date: Mar-1995
Source: Wee, Chionh Eng, Goldman, Ronald N. (1995-03). Elimination and resultants. Part 2: Multivariate resultants. IEEE Computer Graphics and Applications 15 (2) : 60-69. ScholarBank@NUS Repository. https://doi.org/10.1109/38.365007
Abstract: Multivariate resultant expressions which are resultants for systems of three or more equations are described. The dialytic method produces the Sylvester bivariate resultant but it yields multiples of multivariate resultants in which extraneous factors must be identified and discarded to obtain the resultant. Generally, multivariate resultants must be expressed as quotients of two determinants. Also discussed are Dixon bidegree resultants for three bidegree equations and several resultant expressions for three equal degree equations. The Macaulay quotient is explained, together with a description of the μ-resultant.
Source Title: IEEE Computer Graphics and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/99265
ISSN: 02721716
DOI: 10.1109/38.365007
Appears in Collections:Staff Publications

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