Relaxed and Inertial Nonlinear Forward–Backward with Momentum
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DOI: 10.1007/s10957-025-02694-5
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- Daniel Cortild & Juan Peypouquet, 2025. "Krasnoselskii–Mann Iterations: Inertia, Perturbations and Approximation," Journal of Optimization Theory and Applications, Springer, vol. 204(2), pages 1-30, February.
- Laurent Condat, 2013. "A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms," Journal of Optimization Theory and Applications, Springer, vol. 158(2), pages 460-479, August.
- Luis Briceño-Arias & Sergio López Rivera, 2019. "A Projected Primal–Dual Method for Solving Constrained Monotone Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 907-924, March.
- M. Marques Alves & Jonathan Eckstein & Marina Geremia & Jefferson G. Melo, 2020. "Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms," Computational Optimization and Applications, Springer, vol. 75(2), pages 389-422, March.
- Luis Briceño & Roberto Cominetti & Cristián Cortés & Francisco Martínez, 2008. "An Integrated Behavioral Model of Land Use and Transport System: A Hyper-network Equilibrium Approach," Networks and Spatial Economics, Springer, vol. 8(2), pages 201-224, September.
- Luis Briceño-Arias & Julio Deride & Cristian Vega, 2022. "Random Activations in Primal-Dual Splittings for Monotone Inclusions with a Priori Information," Journal of Optimization Theory and Applications, Springer, vol. 192(1), pages 56-81, January.
- Boţ, Radu Ioan & Csetnek, Ernö Robert & Hendrich, Christopher, 2015. "Inertial Douglas–Rachford splitting for monotone inclusion problems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 472-487.
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Keywords
Operator splitting; Monotone operators; Monotone inclusion; Inertial methods; Convex optimization;All these keywords.
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