Convex analysis and monotone operator theory in Hilbert spaces
type: Item
instance of: scholarly article
title: Convex analysis and monotone operator theory in Hilbert spaces
zbMATH Open document ID: 1359.26003
DOI: 10.1007/978-3-319-48311-5
author: Heinz H. Bauschke
author: Patrick L. Combettes
published in: CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC
publication date: 2016-10-27T00:00:00Z
review text: The first edition of this book appeared in 2011 and was reviewed in [Zbl 1218.47001]. Hédy Attouch wrote with respect to the first edition in the foreword: ``Choosing to work in Hilbert spaces offers a wide range of applications, while keeping the mathematics accessible to a large audience. Each topic is developed in a self-contained fashion, and the presentation often draws on recent advances.'' All this is more than ever valid for the new edition which ``greatly expands on the first edition, containing over 140 pages of new material, over 270 new results, and more than 100 new exercises. It features a new chapter on proximity operators including two sections on proximity operators of matrix functions, in addition to several new sections distributed throughout the original chapters. Many existing results have been improved, and the list of references has been updated'' (cited from the publisher's description).
Mathematics Subject Classification ID: 26-02
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 47-02
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 52A41
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 6644703
reviewed by: Bernd Bank
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-48311-5
OpenAlex ID: W205960364
description: scientific article; zbMATH DE number 6644703