Solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators
| Autor: | Radu Ioan Boţ, Christopher Hendrich |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Primal dual algorithm
Pure mathematics 021103 operations research Control and Optimization Fenchel duality 0211 other engineering and technologies 90C25 90C46 47A52 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Functional Analysis (math.FA) Mathematics - Functional Analysis Monotone polygon Optimization and Control (math.OC) Modeling and Simulation Bounded function Convex optimization FOS: Mathematics Discrete Mathematics and Combinatorics 0101 mathematics Mathematics - Optimization and Control Analysis Mathematics |
| Zdroj: | Inverse Problems and Imaging. 10:617-640 |
| ISSN: | 1930-8337 |
| DOI: | 10.3934/ipi.2016014 |
| Popis: | The aim of this article is to present two different primal-dual methods for solving structured monotone inclusions involving parallel sums of compositions of maximally monotone operators with linear bounded operators. By employing some elaborated splitting techniques, all of the operators occurring in the problem formulation are processed individually via forward or backward steps. The treatment of parallel sums of linearly composed maximally monotone operators is motivated by applications in imaging which involve first- and second-order total variation functionals, to which a special attention is given. 25 pages |
| Databáze: | OpenAIRE |
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