Duality for Nonconvex Approximation and Optimization

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  • Publisher : Springer Science & Business Media
  • Release : 12 March 2007
  • ISBN : 9780387283951
  • Page : 356 pages
  • Rating : 4.5/5 from 103 voters

Duality for Nonconvex Approximation and Optimization Book PDF summary

The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

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Duality for Nonconvex Approximation and Optimization

Duality for Nonconvex Approximation and Optimization
  • Author : Ivan Singer
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-03-12
  • ISBN : 9780387283951
DOWNLOAD BOOKDuality for Nonconvex Approximation and Optimization

The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

Convexity and Optimization in Banach Spaces

Convexity and Optimization in Banach Spaces
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  • Publisher : Springer Science & Business Media
  • Release Date : 2012-01-03
  • ISBN : 9789400722477
DOWNLOAD BOOKConvexity and Optimization in Banach Spaces

An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential

Convex Optimization

Convex Optimization
  • Author : Stephen Boyd,Stephen P. Boyd,Lieven Vandenberghe
  • Publisher : Cambridge University Press
  • Release Date : 2004-03-08
  • ISBN : 0521833787
DOWNLOAD BOOKConvex Optimization

A comprehensive introduction to the tools, techniques and applications of convex optimization.

Introduction to the Theory of Nonlinear Optimization

Introduction to the Theory of Nonlinear Optimization
  • Author : Johannes Jahn
  • Publisher : Springer Nature
  • Release Date : 2020-07-02
  • ISBN : 9783030427603
DOWNLOAD BOOKIntroduction to the Theory of Nonlinear Optimization

This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.

Geometric Approximation Theory

Geometric Approximation Theory
  • Author : Alexey R. Alimov,Igor’ G. Tsar’kov
  • Publisher : Springer Nature
  • Release Date : 2022-03-29
  • ISBN : 9783030909512
DOWNLOAD BOOKGeometric Approximation Theory

This monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of

Convex Functions

Convex Functions
  • Author : Jonathan M. Borwein,Jon D. Vanderwerff
  • Publisher : Cambridge University Press
  • Release Date : 2010-01-14
  • ISBN : 9781139811095
DOWNLOAD BOOKConvex Functions

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes

Convex Analysis and Nonlinear Optimization

Convex Analysis and Nonlinear Optimization
  • Author : Jonathan Borwein,Adrian S. Lewis
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-05-05
  • ISBN : 9780387312569
DOWNLOAD BOOKConvex Analysis and Nonlinear Optimization

Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.

Topics in Mathematical Analysis and Applications

Topics in Mathematical Analysis and Applications
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  • Publisher : Springer
  • Release Date : 2014-10-13
  • ISBN : 9783319065540
DOWNLOAD BOOKTopics in Mathematical Analysis and Applications

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.