Approximation Methods for Polynomial Optimization
Models, Algorithms, and Applications
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Beschreibung
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.
Discuss some important subclasses of polynomial optimization models arising from various applications Focuses on approximations algorithms with guaranteed worst case performance analysis Presents a clear view of the basic ideas underlying the design of algorithms and the benefits are highlighted by illustrative examples showing the possible applications Includes supplementary material: sn.pub/extras
Autor*in
Zhening Li
Themen in »Approximation Methods for Polynomial Optimization«
Approximation algorithm approximation ratio binary integer programming mixed integer programming nonlinear programming polynomial optimization problem
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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)()