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Titlebook: Deterministic Global Optimization; An Introduction to t Yaroslav D. Sergeyev,Dmitri E. Kvasov Book 2017 The Author(s) 2017 Deterministic gl

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書目名稱Deterministic Global Optimization
副標(biāo)題An Introduction to t
編輯Yaroslav D. Sergeyev,Dmitri E. Kvasov
視頻videohttp://file.papertrans.cn/270/269338/269338.mp4
概述Contains a survey on Lipschitz deterministic global optimization methods.Outlines a new class of algorithms.Maximizes reader insights into multiextremal continuous problems.Includes case studies.Inclu
叢書名稱SpringerBriefs in Optimization
圖書封面Titlebook: Deterministic Global Optimization; An Introduction to t Yaroslav D. Sergeyev,Dmitri E. Kvasov Book 2017 The Author(s) 2017 Deterministic gl
描述This book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is introduced which has its origins in the DIRECT (DIviding RECTangles) method. This new class is based on an efficient strategy that is applied for the search domain partitioning. In addition a survey on derivative free methods and methods using the first derivatives is given for both one-dimensional and multi-dimensional cases. Non-smooth and smooth minorants and acceleration techniques that can speed up several classes of global optimization methods with examples of applications and problems arising in numerical testing of global optimizationalgorithms are discussed. Theoretical considerations are illustrated through engineering applications. Extensive numerical testing of algorithms described in this book stretches the likelihood of estab
出版日期Book 2017
關(guān)鍵詞Deterministic global optimization; Lipschitz condition; derivative-free methods; methods using the firs
版次1
doihttps://doi.org/10.1007/978-1-4939-7199-2
isbn_softcover978-1-4939-7197-8
isbn_ebook978-1-4939-7199-2Series ISSN 2190-8354 Series E-ISSN 2191-575X
issn_series 2190-8354
copyrightThe Author(s) 2017
The information of publication is updating

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Book 2017thors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is
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2190-8354 ultiextremal continuous problems.Includes case studies.IncluThis book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have
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One-Dimensional Algorithms and Their Acceleration,One-dimensional Lipschitz global optimization methods and novel accelerating techniques for these algorithms are described in detail in this Chapter.
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https://doi.org/10.1007/978-3-319-48490-7onstant as done in the popular DIRECT method. The methods are thoroughly explained and illustrated in this final Chapter; their numerical comparison is reported; the application of an important practical signal processing problem is considered.
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