A Generalized Projetion Gradient Algorithm for Mathematical Programs with Complementary Constraints. Issue 1 (1st June 2022)

• Record Type: Journal Article
• Authors: Zhang, Cong; Sun, Limin; Xiao, Ya
• Is Part Of: Journal of physics. Volume 2289:Issue 1(2022)
• Publication Date: 2022-06-01
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/2289/1/012019
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Against the shortcomings that many existing algorithms for solving the standard smoothing nonlinear programming would fail if they were used directly to solve the mathematical programs with complementary constraints( MPCC). By using a complementarity function and the idea of smoothing approximation method, the MPCC problem was transformed into a smoothing nonlinear programming. Combined with the supermemory gradient idea, a generalized projection gradient algorithm is proposed and its global convergence is obtained.