In this paper, we propose an alternated inertial generalsplitting method with linearization for a split feasibility problem. Four rules of inertial parameters and relaxation parameters are discussed, where the adapti...
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In this paper, we propose an alternated inertial generalsplitting method with linearization for a split feasibility problem. Four rules of inertial parameters and relaxation parameters are discussed, where the adaptive inertial parameters are firstly investigated. The convergence of the proposed method is established under standard conditions. The numerical examples are presented to test four choices of the parameters and illustrate the advantage of our methods. An application in signal processing is presented to illustrate the recovery of the proposed algorithm for the sparse signal.
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