A smoothing inexact Newton method for P-0 nonlinear complementarity problem

作者：Che, Haitao^*; Wang, Yiju; Li, Meixia

来源：Frontiers of Mathematics in China, 2012, 7(6): 1043-1058.

DOI：10.1007/s11464-012-0245-y

• Nonlinear complementarity problem (NCP)
• inexact Newton methods
• P-0-function
• smoothing function

We first propose a new class of smoothing functions for the nonlinear complementarity function which contains the well-known Chen-Harker-Kanzow-Smale smoothing function and Huang-Han-Chen smoothing function as special cases, and then present a smoothing inexact Newton algorithm for the P-0 nonlinear complementarity problem. The global convergence and local superlinear convergence are established. Preliminary numerical results indicate the feasibility and efficiency of the algorithm.

• 出版日期2012-12
• 单位潍坊学院; 曲阜师范大学