Optimizing a particular real root of a polynomial by a special cylindrical algebraic decomposition - Collections

＜preprint＞
Optimizing a particular real root of a polynomial by a special cylindrical algebraic decomposition

Creator	Creator Name Gandy, Silvia Affiliation Affiliation Name Tokyo Institute of Technology
	Creator Name Kanno, Masaaki 管野, 政明カンノ, マサアキ Affiliation Affiliation Name CREST, Japan Science and Technology Agency 独立行政法人科学技術振興機構
	Author PID K003303 Creator Name Anai, Hirokazu 穴井, 宏和アナイ, ヒロカズ Affiliation Affiliation Name Fujitsu Laboratories Ltd \|Kyushu University 富士通研究所 \| 九州大学
	Creator Name Yokoyama, Kazuhiro 横山, 和弘ヨコヤマ, カズヒロ Affiliation Affiliation Name Rikkyo University 立教大学
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2008-11-10
Source Title	MI Preprint Series
Vol	2008-8
Publication Type	Author's Original
Access Rights	open access
Related DOI	MI Preprint Series \|\| 2008-8 \|\| p1-23
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	MI Preprint Series \|\| 2008-8 \|\| p1-23
Related URI	http://www.math.kyushu-u.ac.jp/
Relation	MI Preprint Series \|\| 2008-8 \|\| p1-23
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	We study the problem of optimizing over parameters a particular real root of a polynomial with parametric coefficients. We propose an efficient symbolic method for solving the optimization problem bas...ed on a special cylindrical algebraic decomposition algorithm, which asks for a semi-algebraic decomposition into cells in terms of Number-of-Roots-invariant.show more

File	FileType	Size	Views	Description
MI2008-8	pdf	551 KB	366

Record ID	12553
Peer-Reviewed	Unrefereed
Subject Terms	optimization of a real root
	maximal real root
	cylindrical algebraic decomposition (CAD)
	Number-of-Roots(NoR)-invariant
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	プレプリント
Created Date	2009.04.22
Modified Date	2018.02.20