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Author : Josef Stoer
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)
Download or read book Convexity and Optimization in Finite Dimensions written by Josef Stoer and published by . This book was released on 1970 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Monique Florenzano
Publisher : Springer Science & Business Media
ISBN 13 : 3642565220
Total Pages : 161 pages
Book Rating : 4.6/5 (425 download)
Download or read book Finite Dimensional Convexity and Optimization written by Monique Florenzano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics. The text consists of a systematic development in eight chapters, and contains exercises. The book is appropriate as a class text or for self-study.
Author : Anulekha Dhara
Publisher : CRC Press
ISBN 13 : 1439868239
Total Pages : 442 pages
Book Rating : 4.4/5 (398 download)
Download or read book Optimality Conditions in Convex Optimization written by Anulekha Dhara and published by CRC Press. This book was released on 2011-10-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimality Conditions in Convex Optimization explores an important and central issue in the field of convex optimization: optimality conditions. It brings together the most important and recent results in this area that have been scattered in the literature-notably in the area of convex analysis-essential in developing many of the important results
Author : Boris S. Mordukhovich
Publisher : Springer Nature
ISBN 13 : 3030947858
Total Pages : 597 pages
Book Rating : 4.0/5 (39 download)
Download or read book Convex Analysis and Beyond written by Boris S. Mordukhovich and published by Springer Nature. This book was released on 2022-04-24 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Josef Stoer
Publisher :
ISBN 13 :
Total Pages : 293 pages
Book Rating : 4.:/5 (18 download)
Download or read book Convexity and Optimization in Finite Dimensions Volume I written by Josef Stoer and published by . This book was released on 1970 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivar Ekeland
Publisher : University of Chicago Press
ISBN 13 : 0226199886
Total Pages : 175 pages
Book Rating : 4.2/5 (261 download)
Download or read book Infinite-Dimensional Optimization and Convexity written by Ivar Ekeland and published by University of Chicago Press. This book was released on 1983-09-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The caratheodory approach; Infinite-dimensional optimization; Duality theory.
Author :
Publisher :
ISBN 13 :
Total Pages : 293 pages
Book Rating : 4.:/5 (472 download)
Download or read book Convexity and Optimization in Finite Dimensions. Vol. 1 written by and published by . This book was released on 1970 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viorel Barbu
Publisher : Springer
ISBN 13 : 9027717613
Total Pages : 397 pages
Book Rating : 4.0/5 (277 download)
Download or read book Convexitate Şi Optimizare În Spaţii Banach written by Viorel Barbu and published by Springer. This book was released on 1986 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 008087522X
Total Pages : 411 pages
Book Rating : 4.0/5 (88 download)
Download or read book Convex Analysis and Variational Problems written by and published by Elsevier. This book was released on 1976-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis and Variational Problems
Author : Dan Butnariu
Publisher : Springer Science & Business Media
ISBN 13 : 9780792362876
Total Pages : 230 pages
Book Rating : 4.3/5 (628 download)
Download or read book Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization written by Dan Butnariu and published by Springer Science & Business Media. This book was released on 2000 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to present, in a unified approach, several algorithms for fixed point computation, convex feasibility and convex optimization in infinite dimensional Banach spaces, and for problems involving, eventually, infinitely many constraints. For instance, methods like the simultaneous projection algorithm for feasibility, the proximal point algorithm and the augmented Lagrangian algorithm are rigorously formulated and analyzed in this general setting and shown to be applicable to much wider classes of problems than previously known. For this purpose, a new basic concept, total convexity, is introduced. Its properties are deeply explored, and a comprehensive theory is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis. For making a general approach possible the work aims to improve upon classical results like the Holder-Minkowsky inequality of ℒp.
Author : Leonard D. Berkovitz
Publisher : John Wiley & Sons
ISBN 13 : 0471461660
Total Pages : 283 pages
Book Rating : 4.4/5 (714 download)
Download or read book Convexity and Optimization in Rn written by Leonard D. Berkovitz and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to convexity and optimization inRn This book presents the mathematics of finite dimensionalconstrained optimization problems. It provides a basis for thefurther mathematical study of convexity, of more generaloptimization problems, and of numerical algorithms for the solutionof finite dimensional optimization problems. For readers who do nothave the requisite background in real analysis, the author providesa chapter covering this material. The text features abundantexercises and problems designed to lead the reader to a fundamentalunderstanding of the material. Convexity and Optimization in Rn provides detailed discussionof: * Requisite topics in real analysis * Convex sets * Convex functions * Optimization problems * Convex programming and duality * The simplex method A detailed bibliography is included for further study and an indexoffers quick reference. Suitable as a text for both graduate andundergraduate students in mathematics and engineering, thisaccessible text is written from extensively class-tested notes.
Author : Jon Dattorro
Publisher : Lulu.com
ISBN 13 : 0615193684
Total Pages : 734 pages
Book Rating : 4.6/5 (151 download)
Download or read book Convex Optimization & Euclidean Distance Geometry written by Jon Dattorro and published by Lulu.com. This book was released on 2010-06-09 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis is the calculus of inequalities while Convex Optimization is its application. Analysis is inherently the domain of the mathematician while Optimization belongs to the engineer. In layman’s terms, the mathematical science of Optimization is the study of how to make a good choice when confronted with conflicting requirements. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. Any Convex Optimization problem has geometric interpretation. Conversely, recent advances in geometry and in graph theory hold Convex Optimization within their proofs’ core. This book is about Convex Optimization, convex geometry (with particular attention to distance geometry), and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convex problems. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. International Edition III
Author :
Publisher : Academic Press
ISBN 13 : 0080873723
Total Pages : 321 pages
Book Rating : 4.0/5 (88 download)
Download or read book Convex Functions written by and published by Academic Press. This book was released on 1974-02-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Functions
Author : Josef Stoer
Publisher :
ISBN 13 :
Total Pages : 293 pages
Book Rating : 4.:/5 (464 download)
Download or read book Convexity and Optimization in Finite Dimensions. Bd. 1 written by Josef Stoer and published by . This book was released on 1970 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rafael Correa
Publisher : Springer
ISBN 13 : 9783031295508
Total Pages : 0 pages
Book Rating : 4.2/5 (955 download)
Download or read book Fundamentals of Convex Analysis and Optimization written by Rafael Correa and published by Springer. This book was released on 2023-06-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Dimitri Bertsekas
Publisher : Athena Scientific
ISBN 13 : 1886529280
Total Pages : 576 pages
Book Rating : 4.8/5 (865 download)
Download or read book Convex Optimization Algorithms written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2015-02-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and accessible presentation of algorithms for solving convex optimization problems. It relies on rigorous mathematical analysis, but also aims at an intuitive exposition that makes use of visualization where possible. This is facilitated by the extensive use of analytical and algorithmic concepts of duality, which by nature lend themselves to geometrical interpretation. The book places particular emphasis on modern developments, and their widespread applications in fields such as large-scale resource allocation problems, signal processing, and machine learning. The book is aimed at students, researchers, and practitioners, roughly at the first year graduate level. It is similar in style to the author's 2009"Convex Optimization Theory" book, but can be read independently. The latter book focuses on convexity theory and optimization duality, while the present book focuses on algorithmic issues. The two books share notation, and together cover the entire finite-dimensional convex optimization methodology. To facilitate readability, the statements of definitions and results of the "theory book" are reproduced without proofs in Appendix B.
Author : Dimitri Bertsekas
Publisher : Athena Scientific
ISBN 13 : 1886529310
Total Pages : 256 pages
Book Rating : 4.8/5 (865 download)
Download or read book Convex Optimization Theory written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2009-06-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the analytical/geometrical foundations of convex optimization and duality theory. Convexity theory is first developed in a simple accessible manner, using easily visualized proofs. Then the focus shifts to a transparent geometrical line of analysis to develop the fundamental duality between descriptions of convex functions in terms of points, and in terms of hyperplanes. Finally, convexity theory and abstract duality are applied to problems of constrained optimization, Fenchel and conic duality, and game theory to develop the sharpest possible duality results within a highly visual geometric framework. This on-line version of the book, includes an extensive set of theoretical problems with detailed high-quality solutions, which significantly extend the range and value of the book. The book may be used as a text for a theoretical convex optimization course; the author has taught several variants of such a course at MIT and elsewhere over the last ten years. It may also be used as a supplementary source for nonlinear programming classes, and as a theoretical foundation for classes focused on convex optimization models (rather than theory). It is an excellent supplement to several of our books: Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 2017), Network Optimization(Athena Scientific, 1998), Introduction to Linear Optimization (Athena Scientific, 1997), and Network Flows and Monotropic Optimization (Athena Scientific, 1998).
