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Titlebook: Convex Analysis and Global Optimization; Hoang Tuy Book 2016Latest edition Springer International Publishing AG 2016 D.C. functions.convex

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書目名稱Convex Analysis and Global Optimization
編輯Hoang Tuy
視頻videohttp://file.papertrans.cn/238/237822/237822.mp4
概述Presents up-to-date research and methodologies in modern global optimization.Serves as a reference for a wide swath of the optimization community.Equips readers to handle a mathematically rigorous app
叢書名稱Springer Optimization and Its Applications
圖書封面Titlebook: Convex Analysis and Global Optimization;  Hoang Tuy Book 2016Latest edition Springer International Publishing AG 2016 D.C. functions.convex
描述.This book presents state-of-the-art results and methodologies in modern global optimization, and has been a staple reference for researchers, engineers, advanced students (also in applied mathematics), and practitioners in various fields of engineering. The second edition has been brought up to date and continues to develop a coherent and rigorous theory of deterministic global optimization, highlighting the essential role of convex analysis. The text has been revised and expanded to meet the needs of research, education, and applications for many years to come..Updates for this new edition include.:.·??????? Discussion of modern approaches to minimax, fixed point, and equilibrium theorems, and to nonconvex optimization; .·??????? Increased focus on dealing more efficiently with ill-posed problems of global optimization, particularly those with hard constraints; .·??????? Important discussions of decomposition methods for specially structured problems; .·??????? A complete revision of the chapter on nonconvex quadratic programming, in order to encompass the advances made in quadratic optimization since publication of the first edition. .·??????? Additionally, this new edition cont
出版日期Book 2016Latest edition
關(guān)鍵詞D; C; functions; convex functions; decomposition method; minimax theorem; monotonic optimization; quadrati
版次2
doihttps://doi.org/10.1007/978-3-319-31484-6
isbn_softcover978-3-319-81049-2
isbn_ebook978-3-319-31484-6Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer International Publishing AG 2016
The information of publication is updating

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Fixed Point and Equilibriuml equilibrium theorem from which virtually all important fixed point and equilibrium propositions can be derived in a simple unified manner: Ky Fan inequality, Brouwer and Kakutani fixed point theorems, Nash equilibrium theorem, and also the basic solvability theorem for variational inequalities.
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The Origins of the Telegraph Service, the duality gap, and optimal visible point method for a particular class of problems with a visibility assumption. The second part of the chapter is devoted to the quasi-gradient duality method for global optimization and the relief indicator method for continuous optimization problems with no special structure.
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