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Convex Analysis and Beyond, Mordukhovich


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Автор: Mordukhovich
Название:  Convex Analysis and Beyond
ISBN: 9783030947873
Издательство: Springer
Классификация:

ISBN-10: 3030947874
Обложка/Формат: Soft cover
Страницы: 585
Вес: 1.07 кг.
Дата издания: 09.05.2023
Серия: Springer Series in Operations Research and Financial Engineering
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 40 illustrations, color; 7 illustrations, black and white; xvii, 585 p. 47 illus., 40 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Volume i: basic theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. Using this approach, the text consolidates the device of fundamental facts of generalized differential calculus to obtain novel results for convex sets, functions, and set-valued mappings in finite and infinite dimensions. It also explores topics beyond convexity using the fundamental machinery of convex analysis to develop nonconvex generalized differentiation and its applications. The text utilizes an adaptable framework designed with researchers as well as multiple levels of students in mind. It includes many exercises and figures suited to graduate classes in mathematical sciences that are also accessible to advanced students in economics, engineering, and other applications. In addition, it includes chapters on convex analysis and optimization in finite-dimensional spaces that will be useful to upper undergraduate students, whereas the work as a whole provides an ample resource to mathematicians and applied scientists, particularly experts in convex and variational analysis, optimization, and their applications.
Дополнительное описание: Fundamentals.- Basic theory of convexity.- Convex generalized differentiation.- Enhanced calculus and fenchel duality.- Variational techniques and further subgradient study.- Miscellaneous topics on convexity.- Convexified Lipschitzian analysis.- List of


Introduction to online convex optimization, second edition

Автор: Hazan, Elad
Название: Introduction to online convex optimization, second edition
ISBN: 0262046989 ISBN-13(EAN): 9780262046985
Издательство: MIT Press
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Цена: 74130.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Diesel That Did It tells the story of the legendary diesel-electric locomotive, the FT.

Vector Optimization and Monotone Operators via Convex Duality

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319088998 ISBN-13(EAN): 9783319088990
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
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Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

Functional analysis and applied optimization in banach spaces

Автор: Botelho, Fabio
Название: Functional analysis and applied optimization in banach spaces
ISBN: 3319382063 ISBN-13(EAN): 9783319382067
Издательство: Springer
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Цена: 102480.00 T
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Описание: Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one.

Fundamentals of Convex Analysis

Автор: M.J. Panik
Название: Fundamentals of Convex Analysis
ISBN: 9048142717 ISBN-13(EAN): 9789048142712
Издательство: Springer
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Цена: 158340.00 T
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Описание: Fundamentals of Convex Analysis offers an in-depth look at some of the fundamental themes covered within an area of mathematical analysis called convex analysis.

Analysis and Synthesis of Nonlinear Control Systems

Автор: Bernal
Название: Analysis and Synthesis of Nonlinear Control Systems
ISBN: 3030907759 ISBN-13(EAN): 9783030907754
Издательство: Springer
Рейтинг:
Цена: 139750.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a modern perspective on the modelling, analysis, and synthesis ideas behind convex-optimisation-based control of nonlinear systems: it embeds them in models with convex structures. Analysis and Synthesis of Nonlinear Control Systems begins with an introduction to the topic and a discussion of the problems to be solved. It then explores modelling via convex structures, including quasi-linear parameter-varying, Takagi–Sugeno models, and linear fractional transformation structures. The authors cover stability analysis, addressing Lyapunov functions and the stability of polynomial models, as well as the performance and robustness of the models. With detailed examples, simulations, and programming code, this book will be useful to instructors, researchers, and graduate students interested in nonlinear control systems.

Real and Convex Analysis

Автор: Erhan ??nlar; Robert J Vanderbei
Название: Real and Convex Analysis
ISBN: 1489998594 ISBN-13(EAN): 9781489998590
Издательство: Springer
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Цена: 41920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first undergraduate text to provide an accessible introduction to real and convex analysis, this book by renowned Princeton University academics covers all the fundamentals as well as the tools of analysis, and features lots of illustrations and exercises.

Convex Analysis for Optimization: A Unified Approach

Автор: Brinkhuis Jan
Название: Convex Analysis for Optimization: A Unified Approach
ISBN: 3030418030 ISBN-13(EAN): 9783030418038
Издательство: Springer
Рейтинг:
Цена: 79190.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method.

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Автор: Heinz H. Bauschke; Patrick L. Combettes
Название: Convex Analysis and Monotone Operator Theory in Hilbert Spaces
ISBN: 331983911X ISBN-13(EAN): 9783319839110
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
Наличие на складе: Поставка под заказ.
Описание: The second edition of Convex Analysis and Monotone Operator Theory in Hilbert Spaces greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises.

Convex Analysis and Beyond

Автор: Mordukhovich
Название: Convex Analysis and Beyond
ISBN: 303094784X ISBN-13(EAN): 9783030947842
Издательство: Springer
Рейтинг:
Цена: 51230.00 T
Наличие на складе: Поставка под заказ.
Описание: This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings.

Advances in Convex Analysis and Global Optimization

Автор: Nicolas Hadjisavvas; Panos M. Pardalos
Название: Advances in Convex Analysis and Global Optimization
ISBN: 0792369424 ISBN-13(EAN): 9780792369424
Издательство: Springer
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Цена: 167700.00 T
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Описание: A conference on Convex Analysis and Global Optimization was held in 2000 in Greece in honour of the memory of C. Caratheodory (1873-1950). This volume contains a selection of papers based on talks presented at the conference. The two themes of convexity and global optimization pervade the book.

Convex analysis and optimization in Hadamard spaces

Автор: Miroslav Bacak
Название: Convex analysis and optimization in Hadamard spaces
ISBN: 3110361035 ISBN-13(EAN): 9783110361032
Издательство: Walter de Gruyter
Рейтинг:
Цена: 136310.00 T
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Описание: In the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a systematic account on the subject. Hadamard spaces are complete geodesic spaces of nonpositive curvature. They include Hilbert spaces, Hadamard manifolds, Euclidean buildings and many other important spaces. While the role of Hadamard spaces in geometry and geometric group theory has been studied for a long time, first analytical results appeared as late as in the 1990s. Remarkably, it turns out that Hadamard spaces are appropriate for the theory of convex sets and convex functions outside of linear spaces. Since convexity underpins a large number of results in the geometry of Hadamard spaces, we believe that its systematic study is of substantial interest. Optimization methods then address various computational issues and provide us with approximation algorithms which may be useful in sciences and engineering. We present a detailed description of such an application to computational phylogenetics. The book is primarily aimed at both graduate students and researchers in analysis and optimization, but it is accessible to advanced undergraduate students as well.

Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities
ISBN: 3110606577 ISBN-13(EAN): 9783110606577
Издательство: Walter de Gruyter
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Цена: 149940.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.


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