Douglas–Rachford splitting and ADMM for pathological convex optimization

Author:

Ryu Ernest K.ORCID,Liu Yanli,Yin WotaoORCID

Funder

Directorate for Mathematical and Physical Sciences

Office of Naval Research Global

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Reference80 articles.

1. Artacho, F.J.A., Borwein, J.M., Tam, M.K.: Douglas–Rachford feasibility methods for matrix completion problems. The ANZIAM J. 55(4), 299–326 (2014)

2. Artacho, F.J.A., Borwein, J.M., Tam, M.K.: Global behavior of the Douglas–Rachford method for a nonconvex feasibility problem. J. Global Optim. 65(2), 309–327 (2016)

3. Attouch, H., Baillon, J.B., Théra, M.: Variational sum of monotone operators. J. Convex Anal. 1(11), 001–030 (1994)

4. Attouch, H., Théra, M.: A general duality principle for the sum of two operators. J. Convex Anal. 3(1), 1–24 (1996)

5. Baillon, J.B., Bruck, R.E., Reich, S.: On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces. Houston J. Math. 4(1), 1–9 (1978)

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