Abstract Convex Analysis (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) 1st Edition by Ivan Singer (PDF)

Description

This book examines abstract convex analysis and presents the results of recent research, specifically on parametrizations of Minkowski type dualities and of conjugations of type Lau. It explains the main concepts through cases and detailed proofs.

User’s Reviews

Editorial Reviews: From the Publisher This landmark monograph presents a new theory of abstract convex analysis, i.e. of extensions of the concepts and results of general convex analysis to arbitrary sets and functions. Contains numerous examples of abstract convex sets, functions, conjugations, subdifferentials, etc. and of applications with regard to the general theory of these particular cases. Demonstrates the use of diverse components of abstract convex analysis to several topics in non-convex optimization. Describes the latest developments including parametrizations of Minkowski type dualities and conjugations of type Lau. About the Author Ivan Singer is the author of Abstract Convex Analysis, published by Wiley.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book talk about a standard wavelet multiresolution analysis can be defined via a sequence of projectors onto a monotone sequence of closed vector subspaces possessing certain properties. It also propose a nonlinear extension of this framework in which the vector subspaces are replaced by convex subsets. These sets are chosen so as to provide a recursive, monotone approximation scheme that allows for various signal and image features to be investigated. Several classes of convex multiresolution analyses are discussed and numerical applications to signal and image-processing problems are demonstrated. Therefore I recommended.

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