Splitting Algorithms, Modern Operator Theory, and Applications (eBook)

Heinz H. Bauschke, Regina S. Burachik, D. Russell Luke (Herausgeber)

eBook Download: PDF

2019 | 1st ed. 2019
XIX, 489 Seiten
Springer International Publishing (Verlag)
978-3-030-25939-6 (ISBN)

Infos

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.

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.

Produkt-Details

• Erscheint lt. Verlag: 6.11.2019
• Zusatzinfo: XIX, 489 p. 35 illus., 25 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: ADMM • decomposition and operator splitting • dedicated to Jonathan Borwein • discrete-time dyanamics • Dykstra projection method • Gaussian back substitution • ill-posed problems • inverse function theorem • Monotone Operators • monotone operators and optimization algortihms • monotone operator theory • Moreau envelopes • Operator Splitting Methods • optimal control • optimization algorithms • quantification of convergence rates • splitting algorithms • Variable Metric Algorithms • Variational Problems • vector optimization problem
• ISBN-10: 3-030-25939-0 / 3030259390
• ISBN-13: 978-3-030-25939-6 / 9783030259396