• Corpus ID: 236155035

Fast convergence of generalized forward-backward algorithms for structured monotone inclusions

@inproceedings{Mainge2021FastCO,
  title={Fast convergence of generalized forward-backward algorithms for structured monotone inclusions},
  author={Paul-Emile Maing'e},
  year={2021}
}
In this paper, we develop rapidly convergent forward-backward algorithms for computing zeroes of the sum of finitely many maximally monotone operators. A modification of the classical forward-backward method for two general operators is first considered, by incorporating an inertial term (closed to the acceleration techniques introduced by Nesterov), a constant relaxation factor and a correction term. In a Hilbert space setting, we prove the weak convergence to equilibria of the iterates (xn… 
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