Home eBooks Download › optimization on metric and normed spaces

Optimization On Metric And Normed Spaces

Download Optimization On Metric And Normed Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Optimization On Metric And Normed Spaces 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

Optimization On Metric And Normed Spaces

DOWNLOAD

Author : Alexander J. Zaslavski
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-05

Optimization On Metric And Normed Spaces written by Alexander J. Zaslavski 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 2010-08-05 with Mathematics categories.

"Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. The book is intended for mathematicians interested in optimization and applied functional analysis.

Optimization On Metric And Normed Spaces

DOWNLOAD

Author : Alexander Zaslavski
language : en
Publisher: Springer
Release Date : 2010-11-08

Optimization On Metric And Normed Spaces written by Alexander Zaslavski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-08 with Mathematics categories.

Metric And Normed Spaces

DOWNLOAD

Author : Andreĭ Nikolaevich Kolmogorov
language : en
Publisher:
Release Date : 1957

Metric And Normed Spaces written by Andreĭ Nikolaevich Kolmogorov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Functional analysis categories.

Nonconvex Optimal Control And Variational Problems

DOWNLOAD

Author : Alexander J. Zaslavski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-12

Nonconvex Optimal Control And Variational Problems written by Alexander J. Zaslavski 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 2013-06-12 with Mathematics categories.

Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of general topology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with “good” functions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author. This volume is intended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization, and applied functional analysis, as well as both undergraduate and graduate students specializing in those areas. The text devoted to Turnpike properties may be of particular interest to the economics community.

Geometry Of Linear 2 Normed Spaces

DOWNLOAD

Author : Raymond W. Freese
language : en
Publisher: Nova Publishers
Release Date : 2001

Geometry Of Linear 2 Normed Spaces written by Raymond W. Freese and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

A First Course In Optimization Theory

DOWNLOAD

Author : Rangarajan K. Sundaram
language : en
Publisher: Cambridge University Press
Release Date : 1996-06-13

A First Course In Optimization Theory written by Rangarajan K. Sundaram and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-13 with Business & Economics categories.

Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

Classical And Modern Optimization

DOWNLOAD

Author : Guillaume Carlier
language : en
Publisher: World Scientific
Release Date : 2022-03-16

Classical And Modern Optimization written by Guillaume Carlier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-16 with Mathematics categories.

The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class.

Optimization In Function Spaces

DOWNLOAD

Author : Peter Kosmol
language : en
Publisher: Walter de Gruyter
Release Date : 2011-02-28

Optimization In Function Spaces written by Peter Kosmol and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-28 with Mathematics categories.

This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. A particular emphasis is placed on the geometrical aspects of strong solvability of a convex optimization problem: it turns out that this property is equivalent to local uniform convexity of the corresponding convex function. This treatise also provides a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level. From the contents: Approximation and Polya Algorithms in Orlicz Spaces Convex Sets and Convex Functions Numerical Treatment of Non-linear Equations and Optimization Problems Stability and Two-stage Optimization Problems Orlicz Spaces, Orlicz Norm and Duality Differentiability and Convexity in Orlicz Spaces Variational Calculus

Functional Analysis And Applied Optimization In Banach Spaces

DOWNLOAD

Author : Fabio Botelho
language : en
Publisher: Springer
Release Date : 2014-06-12

Functional Analysis And Applied Optimization In Banach Spaces written by Fabio Botelho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Mathematics categories.

This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. 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. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields.

Convex Optimization In Normed Spaces

DOWNLOAD

Author : Juan Peypouquet
language : en
Publisher: Springer
Release Date : 2015-03-18

Convex Optimization In Normed Spaces written by Juan Peypouquet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-18 with Mathematics categories.

This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.

Optimization On Metric And Normed Spaces

Recent Posts