Convexity And Its Applications
DOWNLOAD
Download Convexity And Its Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Convexity And Its Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Convexity And Its Applications
DOWNLOAD
Author : GRUBER
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Convexity And Its Applications written by GRUBER and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Technische Universitat Wien (July 1981) and at the Universitat Siegen (July 1982) and in part of articles written at the invitation of the editors. This volume together with the earlier volume «Contributions to Geometry» edited by Tolke and Wills and published by Birkhauser in 1979 should give a fairly good account of many of the more important facets of convexity and its applications. Besides being an up to date reference work this volume can be used as an advanced treatise on convexity and related fields. We sincerely hope that it will inspire future research. Fenchel, in his paper, gives an historical account of convexity showing many important but not so well known facets. The articles of Papini and Phelps relate convexity to problems of functional analysis on nearest points, nonexpansive maps and the extremal structure of convex sets. A bridge to mathematical physics in the sense of Polya and Szego is provided by the survey of Bandle on isoperimetric inequalities, and Bachem's paper illustrates the importance of convexity for optimization. The contribution of Coxeter deals with a classical topic in geometry, the lines on the cubic surface whereas Leichtweiss shows the close connections between convexity and differential geometry. The exhaustive survey of Chalk on point lattices is related to algebraic number theory. A topic important for applications in biology, geology etc.
Convexity And Its Applications
DOWNLOAD
Author : Peter Gruber
language : en
Publisher:
Release Date : 1983-10
Convexity And Its Applications written by Peter Gruber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-10 with categories.
Convex Functions And Their Applications
DOWNLOAD
Author : Constantin P. Niculescu
language : en
Publisher: Springer
Release Date : 2018-06-08
Convex Functions And Their Applications written by Constantin P. Niculescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-08 with Mathematics categories.
Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Convexity Theory And Its Applications In Functional Analysis
DOWNLOAD
Author : L. Asimow
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Convexity Theory And Its Applications In Functional Analysis written by L. Asimow and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
Convexity Theory Appl Functional Analysis
Convex Sets And Their Applications
DOWNLOAD
Author : Steven R. Lay
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Convex Sets And Their Applications written by Steven R. Lay and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity. It leads students to open questions and unsolved problems, and it highlights diverse applications. Author Steven R. Lay, Professor of Mathematics at Lee University in Tennessee, reinforces his teachings with numerous examples, plus exercises with hints and answers. The first three chapters form the foundation for all that follows, starting with a review of the fundamentals of linear algebra and topology. They also survey the development and applications of relationships between hyperplanes and convex sets. Subsequent chapters are relatively self-contained, each focusing on a particular aspect or application of convex sets. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Hints, solutions, and references for the exercises appear at the back of the book.
An Easy Path To Convex Analysis And Applications
DOWNLOAD
Author : Boris Mordukhovich
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
An Easy Path To Convex Analysis And Applications written by Boris Mordukhovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and build the theory of generalized differentiation for convex functions and sets in finite dimensions. We also present new applications of convex analysis to location problems in connection with many interesting geometric problems such as the Fermat-Torricelli problem, the Heron problem, the Sylvester problem, and their generalizations. Of course, we do not expect to touch every aspect of convex analysis, but the book consists of sufficient material for a first course on this subject. It can also serve as supplemental reading material for a course on convex optimization and applications.
Abstract Convexity And Global Optimization
DOWNLOAD
Author : Alexander M. Rubinov
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-31
Abstract Convexity And Global Optimization written by Alexander M. Rubinov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-31 with Mathematics categories.
This book consists of two parts. Firstly, the main notions of abstract convexity and their applications in the study of some classes of functions and sets are presented. Secondly, both theoretical and numerical aspects of global optimization based on abstract convexity are examined. Most of the book does not require knowledge of advanced mathematics. Classical methods of nonconvex mathematical programming, being based on a local approximation, cannot be used to examine and solve many problems of global optimization, and so there is a clear need to develop special global tools for solving these problems. Some of these tools are based on abstract convexity, that is, on the representation of a function of a rather complicated nature as the upper envelope of a set of fairly simple functions. Audience: The book will be of interest to specialists in global optimization, mathematical programming, and convex analysis, as well as engineers using mathematical tools and optimization techniques and specialists in mathematical modelling.
Selected Applications Of Convex Optimization
DOWNLOAD
Author : Li Li
language : en
Publisher: Springer
Release Date : 2015-03-26
Selected Applications Of Convex Optimization written by Li Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-26 with Business & Economics categories.
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. All derivation processes are presented in detail to aid in comprehension. The book offers concrete guidance, helping readers recognize and formulate convex optimization problems they might encounter in practice.
M Natural Convexity And Its Applications In Operations
DOWNLOAD
Author : Xin Chen
language : en
Publisher:
Release Date : 2020
M Natural Convexity And Its Applications In Operations written by Xin Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
M-natural-convexity, one of the main concepts in discrete convex analysis, possesses many salient structural properties and allows for the design of efficient algorithms. In this paper, we establish several new fundamental properties of M-natural-convexity and its variant SSQM- natural-convexity (semistrictly quasi M-natural-convexity). We show that in a parametric maximization model, the optimal solution is nonincreasing in the parameters when the objective function is SSQM- natural-concave and the constraint is a box, and illustrate when SSQM- natural-convexity and M-natural-convexity are preserved. A sufficient and necessary characterization of twice continuously differentiable M- natural-convex function is provided. We then utilize them to analyze two important operations models: a classical multi-product dynamic stochastic inventory model, and a portfolio contract model where a buyer reserves capacities in blocks from multiple competing suppliers. We illustrate that looking from the lens of M-natural-convexity allows to simplify the complicated analysis in the literature for each model and extend the results to more general settings.
Generalized Convexity And Optimization
DOWNLOAD
Author : Alberto Cambini
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-14
Generalized Convexity And Optimization written by Alberto Cambini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-14 with Mathematics categories.
The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.