Genericity in polynomial optimization /

"In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems a...

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Bibliographic Details
Main Authors: Ha , Huy-Vui
Corporate Authors: World Scientific Firm
Group Author: Pha m, Tie n-Son
Published: World Scientific Publishing Europe Ltd.,
Publisher Address: London :
Publication Dates: 2017.
Literature type: eBook
Language: English
Series: Series on optimization and its applications ; v. 3
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/q0066#t=toc
Summary: "In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered wi
Item Description: Title from PDF file title page (viewed December 27, 2016).
Carrier Form: 1 online resource (261 pages).
Bibliography: Includes bibliographical references (pages 231-238) and index.
ISBN: 9781786342225 (ebook)
Index Number: QA402
CLC: O224