Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Heinz H. Bauschke; Patrick L. Combettes

Автор: Borwein, Jonathan M. Lewis, Adrian S. (university Of Waterloo)
Название: Convex analysis and nonlinear optimization
ISBN: 1441921273 ISBN-13(EAN): 9781441921277
Издательство: Springer
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Цена: 55850.00 T
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Описание: Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This new edition adds material on semismooth optimization, as well as several new proofs.

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: 83850.00 T
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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.

Автор: Bicheng Yang; Michael Th. Rassias
Название: On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
ISBN: 3030292673 ISBN-13(EAN): 9783030292676
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Поставка под заказ.
Описание: This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.

Автор: D. Butnariu; A.N. Iusem
Название: Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
ISBN: 9401057885 ISBN-13(EAN): 9789401057882
Издательство: Springer
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Цена: 46570.00 T
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Описание: The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

Автор: Regina S. Burachik; Alfredo N. Iusem
Название: Set-Valued Mappings and Enlargements of Monotone Operators
ISBN: 1441943463 ISBN-13(EAN): 9781441943460
Издательство: Springer
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Цена: 60550.00 T
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Описание: This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. Throughout the text, examples help readers make the bridge from theory to application. Numerous exercises are also offered to enable readers to apply and build their own skills and knowledge.

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: Philippe G. Ciarlet
Название: Locally Convex Spaces and Harmonic Analysis: An Introduction
ISBN: 1611976642 ISBN-13(EAN): 9781611976649
Издательство: Mare Nostrum (Eurospan)
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Цена: 57690.00 T
Наличие на складе: Нет в наличии.
Описание: This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, Fourier transform, Hilbert transform, and Calderon-Zygmund singular integrals. An ideal introduction to more advanced texts, the book complements Ciarlet's Linear and Nonlinear Functional Analysis with Applications (SIAM), where the titular topics were not treated. Pedagogical features such as detailed theorems and 93 problems make the book ideal for a one-semester first-year graduate course or for self-study.The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory

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: Dragomir, Silvestru Sever (victoria University, Melbourne, Australia)
Название: Riemann-stieltjes integral inequalities for complex functions defined on unit circle
ISBN: 036733710X ISBN-13(EAN): 9780367337100
Издательство: Taylor&Francis
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Цена: 63280.00 T
Наличие на складе: Невозможна поставка.
Описание: The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers.

Автор: Vladimir M. Tikhomirov; David Newton; R.V. Gamkrel
Название: Analysis II
ISBN: 3642647685 ISBN-13(EAN): 9783642647680
Издательство: Springer
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Цена: 97820.00 T
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Описание: Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
ISBN: 3110606127 ISBN-13(EAN): 9783110606126
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 first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.

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.