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

Abstract

Abstract 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.

Keywords

• DC program
• Proximal linearized algorithm
• Strongly monotonicity