On the asymptotic behaviour of the Aragón Artacho–Campoy algorithm
| Autor: | Salihah Alwadani, Walaa M. Moursi, Xianfu Wang, Heinz H. Bauschke |
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| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
021103 operations research Generalization Applied Mathematics 010102 general mathematics 0211 other engineering and technologies Regular polygon Hilbert space Zero (complex analysis) 02 engineering and technology Management Science and Operations Research 01 natural sciences Industrial and Manufacturing Engineering Projection (linear algebra) symbols.namesake Monotone polygon Intersection symbols 0101 mathematics Software Mathematics Resolvent |
| Zdroj: | Operations Research Letters. 46:585-587 |
| ISSN: | 0167-6377 |
| Popis: | Aragon Artacho and Campoy recently proposed a new method for computing the projection onto the intersection of two closed convex sets in Hilbert space; moreover, they proposed in 2018 a generalization from normal cone operators to maximally monotone operators. In this paper, we complete this analysis by demonstrating that the underlying curve converges to the nearest zero of the sum of the two operators. We also provide a new interpretation of the underlying operators in terms of the resolvent and the proximal average. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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