Please use this identifier to cite or link to this item: https://doi.org/10.1007/978-3-540-87827-8_24
Title: The maximality of the dixon matrix on corner-cut monomial supports
Authors: Chionh, E.-W. 
Keywords: Corner-cut monomial supports
Dixon matrix
Maximality
Mechanical proof
Issue Date: 2008
Source: Chionh, E.-W. (2008). The maximality of the dixon matrix on corner-cut monomial supports. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5081 LNAI : 293-306. ScholarBank@NUS Repository. https://doi.org/10.1007/978-3-540-87827-8_24
Abstract: It has been established that the bivariate Dixon matrix persists to be the exact resultant when there are at most two exposed points at each corner of a corner-cut support; but it becomes singular when there are four or more exposed points at any of the corners. For the remaining case of three or fewer exposed points at each of the corners, it is observed that the Dixon matrix is maximal but its determinant is a multiple of the resultant with a priori known bracket powers as the extraneous factors. The maximality of the Dixon matrix for the three-or-fewer exposed points case has been established mechanically for the special situation in which the excess degree is unity when there are three exposed points at a corner. This paper presents a greatly simplified mechanical proof so that its validity can be easily verified. © 2008 Springer-Verlag Berlin Heidelberg.
Source Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
URI: http://scholarbank.nus.edu.sg/handle/10635/42217
ISBN: 3540878262
ISSN: 03029743
DOI: 10.1007/978-3-540-87827-8_24
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

82
checked on Dec 9, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.