Table of contents
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.
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