Improving the convergence of non-interior point algorithms for nonlinear complementarity problems

摘要: Recently, based upon the Chen-Harker-Kanzow-Smale smoothing function and trajectory neighbourhood techniques, Hotta Yoshise proposed a noninterior point algorithm for solving nonlinear complementarity problem. Their is globally convergent under relatively mild condition. In this paper, we modify their combine it with superlinear convergence theory equations. We provide linearly result slightly updated version of Hotta-Yoshise show that further modified superlinearly convergent, Q-order 1 + t, suitable conditions, where t ∈ (0, 1) an additional parameter.