References

A MODIFIED BROYDEN-LIKE METHOD WITH 3-1 PIECEWISE NCP FUNCTION FOR GENERALIZED NONLINEAR COMPLEMENTARITY PROBLEM


[1] M. C. Ferris and J. S. Pang, Engineering and economic applications of complementarity problems, SIAM Review 39(4) (1997), 669-713.

[2] Vipin Gopal and Lorenz T. Biegler, Smoothing methods for complementarity problems in process engineering, American Institute of Chemical Engineers 45(7) (1999), 1535-1547.

[3] C. Kanzow and M. Fukushima, Equivalence of the generalized complementarity problem to differentiable unconstrained minimization, Journal of Optimization Theory and Applications 90(3) (1996), 581-603.

[4] Houyuan Jiang, Masao Fukushima, Liqun Qi and Defeng Sun, A trust region method for solving generalized complementarity problems, SIAM Journal on Optimization 8(1) (1998), 18.

[5] X. Chen, D. Sun and L. Qi, Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities, Mathematics of Computation 67(222) (1998), 519-540.

[6] Roberto Andreani, Ana Friedlander and Sandra A. Santos, On the resolution of the generalized nonlinear complementarity problem, SIAM Journal on Optimization 12(2) (2001), 303-321.

[7] Yiju Wang, Fengming Ma and Jianzhong Zhang, A nonsmooth L-M method for solving the generalized nonlinear complementarity problem over a polyhedral cone, Applied Mathematics and Optimization 52(1) (2005), 73-92.

[8] Yiju Wang, Xinzhen Zhang and Liqun Qi, Unconstrained optimization reformulation of the generalized nonlinear complementarity problem and related method, Optimization 54(6) (2005), 563-577.

[9] Xinzhen Zhang, Hefeng Jiang and Yiju Wang, A smoothing Newton-type method for generalized nonlinear complementarity problem, Journal of Computational and Applied Mathematics 212(1) (2008), 75-85.

[10] Bilian Chen and Changfeng Ma, Superlinear/quadratic smoothing Broyden-like method for the generalized nonlinear complementarity problem, Nonlinear Analysis. Real World Applications 12(2) (2011), 1250-1263.

[11] Dingguo Pu and Yan Zhou, Piecewise linear NCP function for QP free feasible method, Applied Mathematics: A Journal of Chinese Universities 21(3) (2006), 289-301.