Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jsc.2003.06.001
Title: Corner edge cutting and Dixon A-resultant quotients
Authors: Foo, M.-C.
Chionh, E.-W. 
Keywords: A-resultant
Corner edge cutting
Dixon resultants
Mechanical theorem proving
Issue Date: 2004
Source: Foo, M.-C., Chionh, E.-W. (2004). Corner edge cutting and Dixon A-resultant quotients. Journal of Symbolic Computation 37 (1) : 101-119. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsc.2003.06.001
Abstract: The classical Dixon resultant formulation gives the exact A-resultant for the bi-degree rectangular monomial support. But the formulation gives a multiple of the A-resultant when the monomial support is a bi-degree rectangular support with some corner edges removed. Fortunately, here the extraneous factors can be easily identified a priori and the A-resultant can be expressed explicitly as a quotient: the determinant of a Dixon matrix divided by a product of brackets. All proofs in the paper are constructive. One of the proofs is mechanically done by a Maple program. © 2003 Elsevier Ltd. All rights reserved.
Source Title: Journal of Symbolic Computation
URI: http://scholarbank.nus.edu.sg/handle/10635/39198
ISSN: 07477171
DOI: 10.1016/j.jsc.2003.06.001
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