Split proximal linearized algorithm and convergence theorems for the split DC program

Journal of Inequalities and Applications

Chih-Sheng Chuang¹  Chi-Ming Chen² 

[1] 0000 0001 0305 650X, grid.412046.5, Department of Applied Mathematics, National Chiayi University, Chiayi, Taiwan;0000 0004 0532 0580, grid.38348.34, Institute of Computational and Modeling Science, National Tsing Hua University, Hsinchu, Taiwan;

关键词: DC program;    Proximal linearized algorithm;    Strongly monotonicity;    49J50;    49J53;    49M30;    49M37;    90C26;   

DOI  :  10.1186/s13660-019-2084-9

来源: publisher

【 摘 要 】

In this paper, we study the split DC program by using the split proximal linearized algorithm. Further, linear convergence theorem for the proposed algorithm is established under suitable conditions. As applications, we first study the DC program (DCP). Finally, we give numerical results for the proposed convergence results.

【 授权许可】

CC BY