Please use this identifier to cite or link to this item: https://doi.org/10.1109/SYNASC.2006.20
Title: Bracket producing rows and columns of the dixon determinant
Authors: Xiao, W.
Chionh, E.-W. 
Issue Date: 2007
Source: Xiao, W.,Chionh, E.-W. (2007). Bracket producing rows and columns of the dixon determinant. Proceedings of the 8th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2006 : 164-170. ScholarBank@NUS Repository. https://doi.org/10.1109/SYNASC.2006.20
Abstract: The Dixon resultant for a bivariate polynomial system has many interesting properties. When the unmixed canonical bidegree monomial support of the polynomial system undergoes corner cutting, some monomial points become distinguished by being exposed. When a corner has exactly three exposed monomial points, certain rows and columns of the Dixon matrix, called almost-exposed rows and columns, will produce a factor which is a power of the bracket corresponding to the three exposed points. The power is determined by the relative positions of these three exposed points. This observation is very useful when constructing quotient Dixon resultants. © 2006 IEEE.
Source Title: Proceedings of the 8th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2006
URI: http://scholarbank.nus.edu.sg/handle/10635/40058
ISBN: 076952740X
DOI: 10.1109/SYNASC.2006.20
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