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一种求解矩阵填充问题的原始对偶加速算法

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.

primal-dual algorithmlow rank matrix completionconvergenceaccelerate

闫喜红、张宁、段永红

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太原师范学院数学与统计学院,晋中 030619

太原学院数学系,太原 030032

primal-dual algorithm low rank matrix completion convergence accelerate

山西省科技创新人才团队专项山西省回国留学人员科研项目

2022040510020182022-170

2024

高等学校计算数学学报
南京大学

高等学校计算数学学报

CSTPCD
影响因子:0.164
ISSN:1000-081X
年,卷(期):2024.46(2)