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Convex analysis and optimization in Hadamard spaces, Miroslav Bacak


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Автор: Miroslav Bacak
Название:  Convex analysis and optimization in Hadamard spaces
ISBN: 9783110361032
Издательство: Walter de Gruyter
Классификация:



ISBN-10: 3110361035
Обложка/Формат: Hardback
Страницы: 193
Вес: 0.51 кг.
Дата издания: 29.09.2014
Серия: De gruyter series in nonlinear analysis & applications
Язык: English
Размер: 244 x 170 x 13
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Functional analysis & transforms,Calculus of variations,Optimization, MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis
Основная тема: MATHEMATICS / Mathematical Analysis,MATHEMATICS / Functional Analysis
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Convex Optimization

Автор: Stephen Boyd
Название: Convex Optimization
ISBN: 0521833787 ISBN-13(EAN): 9780521833783
Издательство: Cambridge Academ
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Цена: 17950.00 р.
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Описание: The focus of this book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.

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.

Hadamard matrix analysis and synthesis

Автор: Yarlagadda, R.k.rao Hershey, John E.
Название: Hadamard matrix analysis and synthesis
ISBN: 1461378982 ISBN-13(EAN): 9781461378983
Издательство: Springer
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Цена: 23508.00 р.
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Описание: Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing presents the basic concepts of Sylvester`s construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms.

Convex Optimization of Power Systems

Автор: Joshua Adam Taylor
Название: Convex Optimization of Power Systems
ISBN: 1107076870 ISBN-13(EAN): 9781107076877
Издательство: Cambridge Academ
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Цена: 12038.00 р.
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Описание: This mathematically rigorous guide to convex optimization for power systems engineering includes convex models for a variety of real-world applications, and a selection of problems and practical examples. An invaluable resource for students and researchers from industry and academia in power systems, optimization, and control.

Convex polytopes / second edition

Автор: GrГјnbaum Branko, Ziegler GГјnter M.
Название: Convex polytopes / second edition
ISBN: 0387004246 ISBN-13(EAN): 9780387004242
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The appearance of Gruenbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book's immense influence made them quickly obsolete. Some other chapters promise beautiful unexplored land for future research. The appearance of the new edition is going to be another moment of grace. Kaibel, Klee and Ziegler were able to update the convex polytope saga in a clear, accurate, lively, and inspired way. --Gil Kalai, The Hebrew University of Jerusalem The original book of Gruenbaum has provided the central reference for work in this active area of mathematics for the past 35 years...I first consulted this book as a graduate student in 1967; yet, even today, I am surprised again and again by what I find there. It is an amazingly complete reference for work on this subject up to that time and continues to be a major influence on research to this day. --Louis J. Billera, Cornell University The original edition of Convex Polytopes inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again. --Peter McMullen, University College London


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