A Partially Inexact Proximal Alternating Direction Method of Multipliers and Its Iteration-Complexity Analysis
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DOI: 10.1007/s10957-019-01525-8
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- Max L. N. Gonçalves & Maicon Marques Alves & Jefferson G. Melo, 2018. "Pointwise and Ergodic Convergence Rates of a Variable Metric Proximal Alternating Direction Method of Multipliers," Journal of Optimization Theory and Applications, Springer, vol. 177(2), pages 448-478, May.
- Gonçalves, M.L.N., 2018. "On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 315-325.
- Jonathan Eckstein & Wang Yao, 2017. "Approximate ADMM algorithms derived from Lagrangian splitting," Computational Optimization and Applications, Springer, vol. 68(2), pages 363-405, November.
- M. H. Xu, 2007. "Proximal Alternating Directions Method for Structured Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 134(1), pages 107-117, July.
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Cited by:
- Yunier Bello-Cruz & Max L. N. Gonçalves & Nathan Krislock, 2023. "On FISTA with a relative error rule," Computational Optimization and Applications, Springer, vol. 84(2), pages 295-318, March.
- V. A. Adona & M. L. N. Gonçalves & J. G. Melo, 2020. "An inexact proximal generalized alternating direction method of multipliers," Computational Optimization and Applications, Springer, vol. 76(3), pages 621-647, July.
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Keywords
Alternating direction method of multipliers; Relative error criterion; Hybrid extragradient method; Convex program; Pointwise iteration-complexity; Ergodic iteration-complexity;All these keywords.
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