In this article, we first introduce a modified inertialmannalgorithm and an inertial CQ-algorithm by combining the accelerated mannalgorithm and the CQ-algorithm with the inertial extrapolation, respectively. This ...
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In this article, we first introduce a modified inertialmannalgorithm and an inertial CQ-algorithm by combining the accelerated mannalgorithm and the CQ-algorithm with the inertial extrapolation, respectively. This strategy is intended to speed up the convergence of the given algorithms. Then we established the convergence theorems for two provided algorithms. For the inertial CQ-algorithm, the conditions on the inertial parameters are very weak. Finally, the numerical experiments are presented to illustrate that the modified inertialmannalgorithm and inertial CQ-algorithm may have a number of advantages over other methods in computing for some cases.
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