A smoothing gradient-based neural network strategy for solving semidefinite programming problems. (2nd October 2022)

• Record Type: Journal Article
• Authors: Nikseresht, Asiye; Nazemi, Alireza
• Is Part Of: Network. Volume 33:Number 3/4(2022)
• Page Start: 187
• Page End: 213
• Publication Date: 2022-10-02
• Subjects: Gradient-based neural network -- semidefinite programming -- convex programming -- convergent and stability; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; 006.32
• DOI: 10.1080/0954898X.2022.2104463
• Languages: English
• ISSNs: 0954-898X

Abstract

ABSTRACT: Linear semidefinite programming problems have received a lot of attentions because of large variety of applications. This paper deals with a smooth gradient neural network scheme for solving semidefinite programming problems. According to some properties of convex analysis and using a merit function in matrix form, a neural network model is constructed. It is shown that the proposed neural network is asymptotically stable and converges to an exact optimal solution of the semidefinite programming problem. Numerical simulations are given to show that the numerical behaviours are in good agreement with the theoretical results.