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Modern nonconvex nondifferentiable optimization, Cui, Ying Pang, Jong-shi


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Автор: Cui, Ying Pang, Jong-shi
Название:  Modern nonconvex nondifferentiable optimization
ISBN: 9781611976731
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1611976731
Обложка/Формат: Hardback
Страницы: 774
Вес: 1.75 кг.
Дата издания: 28.02.2022
Серия: Mos-siam series on optimization
Язык: English
Размер: 181 x 259 x 25
Ключевые слова: Applied mathematics,Calculus & mathematical analysis,Game theory,Linear programming,Mathematical foundations,Maths for engineers,Maths for scientists,Optimization,Real analysis, real variables,Stochastics
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Поставляется из: Англии
Описание: Starting with the fundamentals of classical smooth optimization and building on established convex programming techniques, this research monograph presents a foundation and methodology for modern nonconvex nondifferentiable optimization. It provides readers with theory, methods, and applications of nonconvex and nondifferentiable optimization in statistical estimation, operations research, machine learning, and decision making. A comprehensive and rigorous treatment of this emergent mathematical topic is urgently needed in todays complex world of big data and machine learning. This book takes a thorough approach to the subject and includes examples and exercises to enrich the main themes, making it suitable for classroom instruction. Modern Nonconvex Nondifferentiable Optimization is intended for applied and computational mathematicians, optimizers, operations researchers, statisticians, computer scientists, engineers, economists, and machine learners. It could be used in advanced courses on optimization/operations research and nonconvex and nonsmooth optimization.
Дополнительное описание: Applied mathematics|Optimization|Game theory|Linear programming|Mathematical foundations|Calculus and mathematical analysis|Real analysis, real variables|Stochastics|Maths for engineers|Maths for scientists



Nondifferentiable Optimization and Polynomial Problems

Автор: N.Z. Shor
Название: Nondifferentiable Optimization and Polynomial Problems
ISBN: 0792349970 ISBN-13(EAN): 9780792349976
Издательство: Springer
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Цена: 27245.00 р.
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Описание: This work is devoted to an investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It demonstrates methods of nondifferentiable optimization that can be used for finding solutions to many polynomial problems.

Nonlinear Optimization in Finite Dimensions

Автор: Hubertus Th. Jongen; P. Jonker; F. Twilt
Название: Nonlinear Optimization in Finite Dimensions
ISBN: 0792365615 ISBN-13(EAN): 9780792365617
Издательство: Springer
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Цена: 32004.00 р.
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Описание: The topology of global optimization is treated in detail in this text. Moreover, three further basic subjects in nonlinear optimization are treated: stability and sensitivity, gradient - and Newton`s differential equations and, finally, parametric aspects.

Practical Bilevel Optimization

Автор: Jonathan F. Bard
Название: Practical Bilevel Optimization
ISBN: 1441948074 ISBN-13(EAN): 9781441948076
Издательство: Springer
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Цена: 48774.00 р.
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Описание: Multiple objective programming deals with the extension of optimization techniques to account for several objective functions, while game theory deals with the inter-personal dynamics surrounding conflict.

Global Optimization with Non-Convex Constraints

Автор: Roman G. Strongin; Yaroslav D. Sergeyev
Название: Global Optimization with Non-Convex Constraints
ISBN: 0792364902 ISBN-13(EAN): 9780792364900
Издательство: Springer
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Цена: 43184.00 р.
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Описание: Presents a new approach to global non-convex constrained optimization. Problem dimensionality is reduced via space-filling curves and to economize the search, constraint is accounted separately (penalties are not employed). The multicriteria case is also considered.

Generalized Convexity and Vector Optimization

Автор: Shashi K. Mishra; Shouyang Wang; Kin Keung Lai
Название: Generalized Convexity and Vector Optimization
ISBN: 3642099300 ISBN-13(EAN): 9783642099304
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. It details the present state of knowledge on research done in this area.

Nondifferentiable Optimization

Автор: V.F. Dem`yanov; Tetsushi Sasagawa; L.V. Vasil`ev
Название: Nondifferentiable Optimization
ISBN: 146138270X ISBN-13(EAN): 9781461382706
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]).

Methods of Descent for Nondifferentiable Optimization

Автор: Krzysztof C. Kiwiel
Название: Methods of Descent for Nondifferentiable Optimization
ISBN: 3540156429 ISBN-13(EAN): 9783540156420
Издательство: Springer
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Цена: 5583.00 р.
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Nondifferentiable and Two-Level Mathematical Programming

Автор: Kiyotaka Shimizu; Yo Ishizuka; Jonathan F. Bard
Название: Nondifferentiable and Two-Level Mathematical Programming
ISBN: 1461378958 ISBN-13(EAN): 9781461378952
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The analysis and design of engineering and industrial systems has come to rely heavily on the use of optimization techniques. As the title of the book indicates, our chief concern is with (i) nondifferentiable mathematical programs, and (ii) two-level optimization problems.

From Convexity to Nonconvexity

Автор: R.P. Gilbert; Panagiotis D. Panagiotopoulos; Panos
Название: From Convexity to Nonconvexity
ISBN: 0792371445 ISBN-13(EAN): 9780792371441
Издательство: Springer
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Цена: 25848.00 р.
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Описание: Contains a collection of invited papers dedicated to the memory of two great mathematicians, Gaetano Fichera and Panagis Panagiotopoulos. The book is centered around the seminal research of G Fichera on the Signorini problem, hemivariational inequalities, nonsmooth global optimization, and regularity results for variational inequatities.

Large-Scale Nonlinear Optimization

Автор: Gianni Pillo; Massimo Roma
Название: Large-Scale Nonlinear Optimization
ISBN: 1441940146 ISBN-13(EAN): 9781441940148
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Автор: Jiri Outrata; M. Kocvara; J. Zowe
Название: Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
ISBN: 0792351703 ISBN-13(EAN): 9780792351702
Издательство: Springer
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Цена: 26546.00 р.
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Описание: Presents an in-depth study and a solution technique for an important class of optimization problems. This book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton`s method.

Rigorous Global Search: Continuous Problems

Автор: R. Baker Kearfott
Название: Rigorous Global Search: Continuous Problems
ISBN: 1441947620 ISBN-13(EAN): 9781441947628
Издательство: Springer
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Цена: 26546.00 р.
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Описание: Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference.


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