Back to Search Start Over

Corner edge cutting and Dixon <f>A</f>-resultant quotients

Authors :
Foo, Mao-Ching
Chionh, Eng-Wee
Source :
Journal of Symbolic Computation. Jan2004, Vol. 37 Issue 1, p101. 19p.
Publication Year :
2004

Abstract

The classical Dixon resultant formulation gives the exact &lt;f&gt;A&lt;/f&gt;-resultant for the bi-degree rectangular monomial support. But the formulation gives a multiple of the &lt;f&gt;A&lt;/f&gt;-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 &lt;f&gt;A&lt;/f&gt;-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. [Copyright &amp;y&amp; Elsevier]

Details

Language :
English
ISSN :
07477171
Volume :
37
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Symbolic Computation
Publication Type :
Academic Journal
Accession number :
11319586
Full Text :
https://doi.org/10.1016/j.jsc.2003.06.001