Convex Analysis and Beyond, Mordukhovich

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

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.

Автор: Mordukhovich
Название: Convex Analysis and Beyond
ISBN: 3030947874 ISBN-13(EAN): 9783030947873
Издательство: Springer
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Цена: 51230.00 T
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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.

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.

Автор: Miroslav Bacak
Название: Convex analysis and optimization in Hadamard spaces
ISBN: 3110361035 ISBN-13(EAN): 9783110361032
Издательство: Walter de Gruyter
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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.

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.

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
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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.

Автор: Jean-Baptiste Hiriart-Urruty; Claude Lemarechal
Название: Convex Analysis and Minimization Algorithms II
ISBN: 3642081622 ISBN-13(EAN): 9783642081620
Издательство: Springer
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Цена: 83850.00 T
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Описание: From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations....

Автор: Correa
Название: Fundamentals of Convex Analysis and Optimization
ISBN: 3031295501 ISBN-13(EAN): 9783031295508
Издательство: Springer
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Цена: 46570.00 T
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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.

Автор: Bernal
Название: Analysis and Synthesis of Nonlinear Control Systems
ISBN: 3030907759 ISBN-13(EAN): 9783030907754
Издательство: Springer
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Цена: 139750.00 T
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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.

Автор: Diethard Ernst Pallaschke; S. Rolewicz
Название: Foundations of Mathematical Optimization
ISBN: 0792344243 ISBN-13(EAN): 9780792344247
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume covers such areas as: optimization in spaces without linear structure; optimization in infinite topological and normed vector spaces; well-posedness of linear problems in Banach spaces; and necessary conditions of optimality.

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
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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.