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OverviewPolynomial optimization have been a hot research topic for the past few years and its applications range from Operations Research, biomedical engineering, investment science, to quantum mechanics, linear algebra, and signal processing, among many others. In this brief the authors discuss some important subclasses of polynomial optimization models arising from various applications, with a focus on approximations algorithms with guaranteed worst case performance analysis. The brief presents a clear view of the basic ideas underlying the design of such algorithms and the benefits are highlighted by illustrative examples showing the possible applications. This timely treatise will appeal to researchers and graduate students in the fields of optimization, computational mathematics, Operations Research, industrial engineering, and computer science. Full Product DetailsAuthor: Zhening Li , Simai He , Shuzhong ZhangPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2012 Dimensions: Width: 15.50cm , Height: 0.70cm , Length: 23.50cm Weight: 0.454kg ISBN: 9781461439837ISBN 10: 1461439833 Pages: 124 Publication Date: 24 July 2012 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction.-2. Polynomial over the Euclidean Ball.- 3. Extensions of the Constraint Sets.- 4. Applications.- 5. Concluding Remarks.ReviewsFrom the reviews: The book is an outgrowth of the first author's Ph.D. thesis, defended in 2011 ... . It is a well-written timely collection of state-of-the-art approximation algorithms for polynomial optimization problems ... . All of the approximation results of the book are conveniently summarized and listed in table 5.1 for quick reference, with a unified nomenclature introduced in sections 1.3.1 and 1.3.2. (Didier Henrion, Mathematical Reviews, March, 2013) From the reviews: The book is an outgrowth of the first author's Ph.D. thesis, defended in 2011 ... . It is a well-written timely collection of state-of-the-art approximation algorithms for polynomial optimization problems ... . All of the approximation results of the book are conveniently summarized and listed in table 5.1 for quick reference, with a unified nomenclature introduced in sections 1.3.1 and 1.3.2. (Didier Henrion, Mathematical Reviews, March, 2013) Author InformationTab Content 6Author Website:Countries AvailableAll regions |