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Fundamentals of Convex Analysis and Optimization, Correa


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Автор: Correa
Название:  Fundamentals of Convex Analysis and Optimization
ISBN: 9783031295508
Издательство: Springer
Классификация:


ISBN-10: 3031295501
Обложка/Формат: Hardback
Страницы: 444
Вес: 0.94 кг.
Дата издания: 26.07.2023
Серия: Springer Series in Operations Research and Financial Engineering
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 1 illustrations, black and white; xiii, 444 p. 1 illus.
Размер: 161 x 245 x 27
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: A supremum function approach
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary view to the traditional one in which the discipline is presented to students and researchers. This textbook can be used for courses on optimization, convex and variational analysis, addressed to graduate and post-graduate students of mathematics, and also students of economics and engineering. It is also oriented to provide specific background for courses on optimal control, data science, operations research, economics (game theory), etc. The book represents a challenging and motivating development for those experts in functional analysis, convex geometry, and any kind of researchers who may be interested in applications of their work.
Дополнительное описание: 1. Introduction.- 2. Preliminaries.- 3. Fenchel-Moreau-Rockafellar theory.- 4. Fundamental topics in convex analysis.- 5. Supremum of convex functions.- 6. The supremum in specific contexts.- 7. Other subdifferential calculus rules.- 8. Miscellaneous.- 9.



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: 11120.00 р.
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Описание: The Diesel That Did It tells the story of the legendary diesel-electric locomotive, the FT.

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: 25155.00 р.
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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.

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: 23751.00 р.
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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.

Convex Analysis and Minimization Algorithms I

Автор: Jean-Baptiste Hiriart-Urruty; Claude Lemarechal
Название: Convex Analysis and Minimization Algorithms I
ISBN: 3642081614 ISBN-13(EAN): 9783642081613
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book covers the fundamentals of convex analysis, a refinement of standard calculus with equalities and approximations replaced by inequalities. Reviews minimization algorithms, which provide immediate application to optimization and operations research.

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
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Цена: 11878.00 р.
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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 for Optimization: A Unified Approach

Автор: Brinkhuis Jan
Название: Convex Analysis for Optimization: A Unified Approach
ISBN: 3030418065 ISBN-13(EAN): 9783030418069
Издательство: Springer
Цена: 11878.00 р.
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 and Set-Valued Analysis

Автор: Aram Arutyunov, Valeri Obukhovskii
Название: Convex and Set-Valued Analysis
ISBN: 3110460289 ISBN-13(EAN): 9783110460285
Издательство: Walter de Gruyter
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Цена: 11148.00 р.
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Описание: This textbook is devoted to a compressed and self-contained exposition of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part, properties of convex sets, the theory of separation, convex functions and their differentiability, properties of convex cones in finite- and infinite-dimensional spaces are discussed. The second part covers some important parts of set-valued analysis. There the properties of the Hausdorff metric and various continuity concepts of set-valued maps are considered. The great attention is paid also to measurable set-valued functions, continuous, Lipschitz and some special types of selections, fixed point and coincidence theorems, covering set-valued maps, topological degree theory and differential inclusions. Contents: PrefacePart I: Convex analysisConvex sets and their propertiesThe convex hull of a set. The interior of convex setsThe affine hull of sets. The relative interior of convex setsSeparation theorems for convex setsConvex functionsClosedness, boundedness, continuity, and Lipschitz property of convex functionsConjugate functionsSupport functionsDifferentiability of convex functions and the subdifferentialConvex conesA little more about convex cones in infinite-dimensional spacesA problem of linear programmingMore about convex sets and convex hullsPart II: Set-valued analysisIntroduction to the theory of topological and metric spacesThe Hausdorff metric and the distance between setsSome fine properties of the Hausdorff metricSet-valued maps. Upper semicontinuous and lower semicontinuous set-valued mapsA base of topology of the spaceHc(X)Measurable set-valued maps. Measurable selections and measurable choice theoremsThe superposition set-valued operatorThe Michael theorem and continuous selections. Lipschitz selections. Single-valued approximationsSpecial selections of set-valued mapsDifferential inclusionsFixed points and coincidences of maps in metric spacesStability of coincidence points and properties of covering mapsTopological degree and fixed points of set-valued maps in Banach spacesExistence results for differential inclusions via the fixed point methodNotationBibliographyIndex

Introductory Lectures on Convex Optimization / A Basic Course

Автор: Nesterov Y.
Название: Introductory Lectures on Convex Optimization / A Basic Course
ISBN: 1402075537 ISBN-13(EAN): 9781402075537
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This is the first elementary exposition of the main ideas of complexity theory for convex optimization. Up to now, most of the material can be found only in special journals and research monographs. The book covers optimal methods and lower complexity bounds for smooth and non-smooth convex optimization. A separate chapter is devoted to polynomial-time interior-point methods. Audience: The book is suitable for industrial engineers and economists.

Non-Convex Multi-Objective Optimization

Автор: Panos M. Pardalos; Antanas ?ilinskas; Julius ?ilin
Название: Non-Convex Multi-Objective Optimization
ISBN: 3319610058 ISBN-13(EAN): 9783319610054
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Recent results on non-convex multi-objective optimization problems and methods are presented in this book, with particular attention to expensive black-box objective functions.

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
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Цена: 15372.00 р.
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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.

Vector Optimization and Monotone Operators via Convex Duality

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319361902 ISBN-13(EAN): 9783319361901
Издательство: Springer
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Цена: 13974.00 р.
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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.

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.


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