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Corner edge cutting and Dixon <f>A</f>-resultant quotients
- Source :
-
Journal of Symbolic Computation . Jan2004, Vol. 37 Issue 1, p101. 19p. - Publication Year :
- 2004
-
Abstract
- The classical Dixon resultant formulation gives the exact <f>A</f>-resultant for the bi-degree rectangular monomial support. But the formulation gives a multiple of the <f>A</f>-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 <f>A</f>-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 &y& Elsevier]
- Subjects :
- *MATRICES (Mathematics)
*ALGEBRA
*MATHEMATICS
Subjects
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