Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications

Author:   Zhening Li ,  Simai He ,  Shuzhong Zhang
Publisher:   Springer-Verlag New York Inc.
Edition:   2012
ISBN:  

9781461439837


Pages:   124
Publication Date:   24 July 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications


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Overview

Polynomial 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 Details

Author:   Zhening Li ,  Simai He ,  Shuzhong Zhang
Publisher:   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:  

9781461439837


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

​1. ​Introduction.-2. Polynomial over the Euclidean Ball.- 3. Extensions of the Constraint Sets.- 4. Applications.- 5. Concluding Remarks.

Reviews

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)


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)


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