Inertial and relaxed versions of the nonlinear forward-backward method converge weakly to solutions of monotone inclusions, and they specialize to accelerated variants of forward-backward, forward-half-reflect-backward, Chambolle-Pock, and Condat-Vu.
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Relaxed and Inertial Nonlinear Forward-Backward with Momentum
Inertial and relaxed versions of the nonlinear forward-backward method converge weakly to solutions of monotone inclusions, and they specialize to accelerated variants of forward-backward, forward-half-reflect-backward, Chambolle-Pock, and Condat-Vu.