Overview
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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Table of contents (16 chapters)
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Front Matter
Keywords
- operator splitting methods
- monotone operators and optimization algortihms
- monotone operators
- quantification of convergence rates
- splitting algorithms
- monotone operator theory
- variational problems
- decomposition and operator splitting
- optimization algorithms
- Dykstra projection method
- dedicated to Jonathan Borwein
- optimal control
- Moreau envelopes
- ADMM
- ill-posed problems
- inverse function theorem
- Gaussian back substitution
- variable metric algorithms
- discrete-time dyanamics
- vector optimization problem
About this book
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: Splitting Algorithms, Modern Operator Theory, and Applications
Editors: Heinz H. Bauschke, Regina S. Burachik, D. Russell Luke
DOI: https://doi.org/10.1007/978-3-030-25939-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-25938-9Published: 15 November 2019
Softcover ISBN: 978-3-030-25941-9Published: 15 November 2020
eBook ISBN: 978-3-030-25939-6Published: 06 November 2019
Edition Number: 1
Number of Pages: XIX, 489
Number of Illustrations: 10 b/w illustrations, 25 illustrations in colour
Topics: Operator Theory, Calculus of Variations and Optimal Control; Optimization, Partial Differential Equations, Functional Analysis, Numerical Analysis