Splitting Algorithms, Modern Operator Theory, and Applications
This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics fro
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Splitting Algorithms, Modern Operator Theory, and Applications
Splitting Algorithms, Modern Operator Theory, and Applications
Heinz H. Bauschke • Regina S. Burachik D. Russell Luke Editors
Splitting Algorithms, Modern Operator Theory, and Applications
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Editors Heinz H. Bauschke Department of Mathematics University of British Columbia Kelowna, BC, Canada
Regina S. Burachik School of IT & Mathematical Sciences University of South Australia Mawson Lakes, SA, Australia
D. Russell Luke Inst. Numerische & Angewandte Mathematik Universit¨at G¨ottingen G¨ottingen, Niedersachsen, Germany
ISBN 978-3-030-25938-9 ISBN 978-3-030-25939-6 (eBook) https://doi.org/10.1007/978-3-030-25939-6 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This book is dedicated to the memory of Jonathan Michael Borwein, who was a great visionary, researcher, teacher, and mentor to many of us.
Preface
This book brings together several carefully reviewed papers in the broad areas of optimization and numerical analysis, with a particular emphasis on algorithms. The volume is a compendium of topics presented at the interdisciplinary workshop on Splitting Algorithms, Modern Operator Theory, and Applications, held at Casa Matemática Oaxaca (CMO) in Mexico, September 17–22, 2017. The participants came from Australia, Austria, Belgium, Brazil, Canada, Chile, France, Germany, Hong Kong, Japan, the Netherlands, Poland, Russia, Spain, Sweden, and the United States. Most papers in this volume grew out of talks delivered at this workshop. We believe that the reader will find this volume to be a valuable snapshot of the state of the art. We thank Elizabeth Loew from Springer for her help
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