An Easy Path to Convex Analysis and Applications, Boris S. Mordukhovich, Nguyen Mau Nam

Название: Selected Applications of Convex Optimization
ISBN: 3662463555 ISBN-13(EAN): 9783662463550
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book focuses on the applications of convex optimization and highlights several topics, including support vector machines, parameter estimation, norm approximation and regularization, semi-definite programming problems, convex relaxation, and geometric problems.

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: Koldobsky, Alexander
Название: Fourier analysis in convex geometry
ISBN: 0821837877 ISBN-13(EAN): 9780821837870
Издательство: Mare Nostrum (Eurospan)
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Цена: 51210.00 T
Наличие на складе: Нет в наличии.
Описание: Discusses Fourier analysis approach. This book expresses certain geometric properties of bodies in terms of Fourier analysis and uses harmonic analysis methods to solve geometric problems. It is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability.

Автор: Olivier Druet, Frederic Robert, Juncheng Wei
Название: The Lin-Ni`s Problem for Mean Convex Domains
ISBN: 0821869094 ISBN-13(EAN): 9780821869093
Издательство: Mare Nostrum (Eurospan)
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Цена: 70230.00 T
Наличие на складе: Невозможна поставка.
Описание: The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$.

Автор: Ball
Название: Convex Geometric Analysis
ISBN: 0521155649 ISBN-13(EAN): 9780521155649
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of `Geometric Functional Analysis`. It arises arises from an MSRI program held in the spring of 1996.

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: 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: Schneider
Название: Convex Bodies: The Brunn–Minkowski Theory
ISBN: 1107601010 ISBN-13(EAN): 9781107601017
Издательство: Cambridge Academ
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Цена: 170010.00 T
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Описание: Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn-Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list.