A PRIMAL-DUAL ACCELERATION ALGORITHM FOR MATRIX COMPLETION PROBLEMS
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Matrix completion has a wide application in many areas such as ma-chine learning,image processing,and computer vision.The primal-dual algorithm is one of the classic algorithms for solving matrix completion problems.However,when solving large-scale matrix completion problems,the efficiency of this primal-dual algorithm is still needed to be further improved.Therefore,on the basis of the primal-dual algorithm framework,this paper improves the efficiency of the al-gorithm through the correction technique,and proposes a primal-dual acceleration algorithm by adding a correction step.Under reasonable assumptions,its global convergence is proved.Finally,numerical experiments are carried out to verify its effectiveness.