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Splitting Algorithms, Modern Operator Theory, and Applications

Editors: Bauschke, Heinz H., Burachik, Regina Sandra S., Luke, D. Russell (Eds.)

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  • Brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis
  • Theory and applications are presented in novel and insightful ways
  • Focuses on algorithms, advances in monotone operator theory, topics from variational analysis and nonsmooth optimization
  • Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history
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eBook $89.00
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  • ISBN 978-3-030-25939-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-25938-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods.   The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory, and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history, this compilation brings theory together with applications in novel and insightful ways.

About the authors

Heinz H. Bauschke is a Full Professor of Mathematics at the University of British Columbia (Okanagan campus). His main research interests are in convex analysis and optimization, monotone operator theory, projection methods, and applications. He has authored or co-authored more than 125 refereed publications, including 1 book, and co-edited several conference proceedings with Springer.
Regina S. Burachik is an associate professor in the School of Information Technology and Mathematical Sciences at the University of South Australia (UniSA). Regina’s research focuses on several aspects of optimization, ranging from functional analysis and variational inequalities to practical applications. She publishes in optimization theory, solution techniques for nonsmooth optimization, and convergence analysis of algorithms. Regina has published more than 60 journal articles and co-authored a Springer book with A.N. Iusem.
D. Russell Luke is professor of continuous optimization at the Institute for Numerical and Applied Mathematics at the Georg-August University of Göttingen where he leads the workgroup in continuous optimization and variational analysis. Prof.  Luke  has published over fifty refereed journal  articles and proceedings and is co-author of one book.  This is his second edited volume with Springer.

Table of contents (16 chapters)

Table of contents (16 chapters)
  • Convergence Rate of Proximal Inertial Algorithms Associated with Moreau Envelopes of Convex Functions

    Pages 1-44

    Attouch, Hedy (et al.)

  • Constraint Splitting and Projection Methods for Optimal Control of Double Integrator

    Pages 45-68

    Bauschke, Heinz H. (et al.)

  • Numerical Explorations of Feasibility Algorithms for Finding Points in the Intersection of Finite Sets

    Pages 69-90

    Bauschke, Heinz H. (et al.)

  • Variable Metric ADMM for Solving Variational Inequalities with Monotone Operators over Affine Sets

    Pages 91-112

    Boţ, Radu Ioan (et al.)

  • Regularization of Ill-Posed Problems with Non-negative Solutions

    Pages 113-135

    Clason, Christian (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-25939-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-25938-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Splitting Algorithms, Modern Operator Theory, and Applications
Editors
  • Heinz H. Bauschke
  • Regina Sandra S. Burachik
  • D. Russell Luke
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-25939-6
DOI
10.1007/978-3-030-25939-6
Hardcover ISBN
978-3-030-25938-9
Edition Number
1
Number of Pages
XIX, 489
Number of Illustrations
10 b/w illustrations, 25 illustrations in colour
Topics