Table of contents

  1. Front Matter
    Pages i-xvi
  2. Heinz H. Bauschke, Patrick L. Combettes
    Pages 1-25
  3. Heinz H. Bauschke, Patrick L. Combettes
    Pages 27-42
  4. Heinz H. Bauschke, Patrick L. Combettes
    Pages 43-58
  5. Heinz H. Bauschke, Patrick L. Combettes
    Pages 59-74
  6. Heinz H. Bauschke, Patrick L. Combettes
    Pages 75-86
  7. Heinz H. Bauschke, Patrick L. Combettes
    Pages 87-106
  8. Heinz H. Bauschke, Patrick L. Combettes
    Pages 107-112
  9. Heinz H. Bauschke, Patrick L. Combettes
    Pages 113-127
  10. Heinz H. Bauschke, Patrick L. Combettes
    Pages 129-141
  11. Heinz H. Bauschke, Patrick L. Combettes
    Pages 143-153
  12. Heinz H. Bauschke, Patrick L. Combettes
    Pages 155-165
  13. Heinz H. Bauschke, Patrick L. Combettes
    Pages 167-180
  14. Heinz H. Bauschke, Patrick L. Combettes
    Pages 181-195
  15. Heinz H. Bauschke, Patrick L. Combettes
    Pages 197-206
  16. Heinz H. Bauschke, Patrick L. Combettes
    Pages 207-222
  17. Heinz H. Bauschke, Patrick L. Combettes
    Pages 223-240
  18. Heinz H. Bauschke, Patrick L. Combettes
    Pages 241-259
  19. Heinz H. Bauschke, Patrick L. Combettes
    Pages 261-274
  20. Heinz H. Bauschke, Patrick L. Combettes
    Pages 275-292

About this book

Introduction

This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable.

 

Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book.

Author Information:

Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "Diplom-Mathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO.  In 2009, he became UBCO's first "Researcher of the Year".

Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6, laboratoire Jacques-Louis Lions, where he is presently a Professeur de Classe Exceptionnelle.

He was elected Fellow of the IEEE in 2005.

Authors and affiliations

  • Heinz H. Bauschke
    • 1
  • Patrick L. Combettes
    • 2
  1. 1.Okanagan Campus, Department of Mathematics and StatisticUniversity of British ColumbiaKelownaCanada
  2. 2.Laboratoire Jacques-Louis LionsUniversité Pierre et Marie CurieParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-9467-7
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-9466-0
  • Online ISBN 978-1-4419-9467-7
  • Series Print ISSN 1613-5237
  • About this book