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• W3212784844 abstract "We extend the Malitsky-Tam forward-reflected-backward (FRB) splitting method for inclusion problems of monotone operators to nonconvex minimization problems. By assuming the generalized concave Kurdyka-Łojasiewicz (KL) property of a quadratic regularization of the objective, we show that the FRB method converges globally to a stationary point of the objective and enjoys the finite length property. Convergence rates are also given. The sharpness of our approach is guaranteed by virtue of the exact modulus associated with the generalized concave KL property. Numerical experiments suggest that FRB is competitive compared to the Douglas-Rachford method and the Boţ-Csetnek inertial Tseng’s method." @default.
• W3212784844 created "2021-11-22" @default.
• W3212784844 creator A5005122439 @default.
• W3212784844 creator A5038221217 @default.
• W3212784844 date "2022-04-04" @default.
• W3212784844 modified "2023-09-24" @default.
• W3212784844 title "Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems" @default.
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• W3212784844 doi "https://doi.org/10.1007/s10589-022-00364-0" @default.
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