Toric varieties and the implementation of the bezout resultant block matrix

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...

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Main Authors:	Ahmad, Shamsatun N., Aris, Nor'aini
Format:	Article
Published:	Enhanced Research Publications 2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/60017/ http://www.erpublications.com/our-journals-dtl-pdf.php?pid=1&id=97&pagesize=10&start=20&pagesize=10
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Institution:	Universiti Teknologi Malaysia

id	my.utm.60017
record_format	eprints
spelling	my.utm.600172022-01-23T01:16:53Z http://eprints.utm.my/id/eprint/60017/ Toric varieties and the implementation of the bezout resultant block matrix Ahmad, Shamsatun N. Aris, Nor'aini QA Mathematics 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. Enhanced Research Publications 2014-08 Article PeerReviewed 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 http://www.erpublications.com/our-journals-dtl-pdf.php?pid=1&id=97&pagesize=10&start=20&pagesize=10
institution	Universiti Teknologi Malaysia
building	UTM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Malaysia
content_source	UTM Institutional Repository
url_provider	http://eprints.utm.my/
topic	QA Mathematics
spellingShingle	QA Mathematics Ahmad, Shamsatun N. Aris, Nor'aini Toric varieties and the implementation of the bezout resultant block matrix
description	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.
format	Article
author	Ahmad, Shamsatun N. Aris, Nor'aini
author_facet	Ahmad, Shamsatun N. Aris, Nor'aini
author_sort	Ahmad, Shamsatun N.
title	Toric varieties and the implementation of the bezout resultant block matrix
title_short	Toric varieties and the implementation of the bezout resultant block matrix
title_full	Toric varieties and the implementation of the bezout resultant block matrix
title_fullStr	Toric varieties and the implementation of the bezout resultant block matrix
title_full_unstemmed	Toric varieties and the implementation of the bezout resultant block matrix
title_sort	toric varieties and the implementation of the bezout resultant block matrix
publisher	Enhanced Research Publications
publishDate	2014
url	http://eprints.utm.my/id/eprint/60017/ http://www.erpublications.com/our-journals-dtl-pdf.php?pid=1&id=97&pagesize=10&start=20&pagesize=10
_version_	1724073251492069376

Toric varieties and the implementation of the bezout resultant block matrix

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