An inertial extrapolation method for multiple-set split feasibility problem

[摘要] 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.

[学科分类] 电力

[关键词] Multiple-set split feasibility problem;Sublevel set;Subdifferential;Inertial extrapolation;Self-adaptive technique