Ahmad, Shamsatun N. and Aris, Nor'aini (2014) Toric varieties and the implementation of the bezout resultant block matrix. International Journal of Enhanced Research in Science Technology & Engineering, 3 (8). pp. 157-166. ISSN 2319-7463
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Abstract
The construction of the Bézout matrix in the hybrid resultant formulation involves theories from algebraic geometry. The underlying theory on toric varieties has very nice properties such as the properties of fan (or cones), homogeneous coordinate ring, normality, and Zariski closure are related to the structure of the lattice polytopes in R. This paper presents the application of these properties in the construction and implementation of the Bézout resultant block matrix for unmixed bivariate polynomial systems. The construction reveals a complete combinatorial description for computing the entries of the matrix.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | algebraic geometry, combinatorics, toric varieties |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 60017 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 23 Jan 2017 00:24 |
| Last Modified: | 23 Jan 2022 01:16 |
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