Computing the Resolvent of the Sum of Maximally Monotone Operators with the Averaged Alternating Modified Reflections Algorithm-Reference-Cited by-同舟云学术

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Computing the Resolvent of the Sum of Maximally Monotone Operators with the Averaged Alternating Modified Reflections Algorithm

Published:2019-02-05 Issue:3 Volume:181 Page:709-726
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Aragón Artacho Francisco J.,Campoy Rubén^ORCID

Funder

Ministerio de Economía y Competitividad

European Regional Development Fund

European Social Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/article/10.1007/s10957-019-01481-3/fulltext.html

Reference16 articles.

1. Aragón Artacho, F.J., Campoy, R.: A new projection method for finding the closest point in the intersection of convex sets. Comput. Optim. Appl. 69(1), 99–132 (2018)

2. Aragón Artacho, F.J., Campoy, R.: Optimal rates of linear convergence of the averaged alternating modified reflections method for two subspaces. Numer. Algor. 1–25 (2018). https://doi.org/10.1007/s11075-018-0608-x

3. Bauschke, H.H.; Burachik, R.S., Kaya, C.Y.: Constraint splitting and projection methods for optimal control of double integrator. ArXiv e-prints: arXiv:1804.03767 (2018)

4. Douglas, J., Rachford, H.H.: On the numerical solution of heat conduction problems in two and three space variables. Trans. Am. Math. Soc. 82, 421–439 (1956)

5. Svaiter, B.F.: On weak convergence of the Douglas–Rachford method. SIAM J. Control Optim. 49(1), 280–287 (2011)

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