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An inertial extrapolation method for multiple-set split feasibility problem

Article scientifique 2020 Anglais

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Abstract In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the implementation of our algorithm does not need any prior information about the operator norm. We then prove the strong convergence of a sequence generated by our algorithm. We also present numerical examples to illustrate that the acceleration of our algorithm is effective.

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Taddele, G., Kumam, P., Gebrie, A. (2020). An inertial extrapolation method for multiple-set split feasibility problem. https://doi.org/10.1186/s13660-020-02508-4

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