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Solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators
- Source :
- Inverse Problems and Imaging. 10:617-640
- Publication Year :
- 2016
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2016.
-
Abstract
- 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.<br />25 pages
- Subjects :
- 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
Subjects
Details
- ISSN :
- 19308337
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Inverse Problems and Imaging
- Accession number :
- edsair.doi.dedup.....7b6245443fc66efdd03409c85321c5c9