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by Xiaojun Chen, Yinyu Ye
ftp://dollar.biz.uiowa.edu/pub/yyye/smooth2.ps
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Abstract:

A variational inequality problem with a mapping g:! n

Citations

352 Rheinboldt, Iterative Solution of Nonlinear Equations – Ortega, W - 2000
134 Finite-dimensional variational inequality and nonlinear complementarity problems, A survey of theory, algorithms and applications – Harker, Pang - 1990
126 A Unified Approach to Interior Point Algorithms for Linear Complimentarity Problems – Kojima, Meggido, et al. - 1991
119 Convergence analysis of some algorithms for solving nonsmooth equations – Qi - 1993
97 Engineering and economic applications of complementarity problems – Ferris, Pang - 1997
93 The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems – Dirkse, Ferris - 1995
78 A class of smoothing functions for nonlinear and mixed complementarity problems," Mathematical Programming – Chen, Mangasarian - 1994
58 Complementarity Linear and NonLinear Programming – Murty, Ya, et al. - 1999
50 Some noninterior continuation methods for linear complementarity problems – Kanzow - 1996
48 On the finite convergence of interior-point algorithms for linear programming – Ye - 1992
42 Smooth approximations to nonlinear complementarity problems – Chen, Harker - 1997
42 On quadratic and O( p nL) convergence of a predictor-corrector algorithm for LCP – Ye, Anstreicher - 1993
34 A non-interior-point continuation method for linear complementarity problems – Chen, Harker - 1993
34 Homotopy continuation methods for nonlinear complementarity problems – Kojima, Megiddo, et al. - 1991
34 A globally convergent successive approximation method for severely nonsmooth equations – Qi, Chen - 1995
32 A semismooth Newton method for variational inequalities: The case of box constraints – Facchinei, Fischer, et al. - 1997
31 Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities – Chen, Qi, et al. - 1998
30 The global linear convergence of a non-interior path-following algorithm for linear complementarity problem – Burke, Xu - 1998
30 Newton's method for a class of nonsmooth functions – Robinson - 1994
29 On the basic theorem of complementarity – Eaves - 1971
24 Smoothing of mixed complementarity problems – Gabriel, Mor'e - 1997
22 On finite termination of an iterative method for linear complementarity problems – Fischer, Kanzow - 1996
17 Yoshise: Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems – Hotta, Yoshise - 1996
17 Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities – Kanzow, Fukushima - 1998
14 An interior point potential reduction algorithm for the linear complementarity problem – Kojima, Megiddo, et al. - 1992
13 A polynomial time interior-point path-following algorithm for LCP based on Chen-Harker-Kanzow smoothing techniques – Xu, Burke - 1999
11 A parameterized Newton method and a Broyden-like method for solving nonsmooth equations – Chen, Qi - 1994
10 Interior point methods for nonlinear complementarity problems – Potra, Ye - 1996
7 Computational complexity of LCPs associated with positive definite matrices – Fathi - 1979
6 A damped Newton method for the linear complementarity problem – Harker, Pang - 1990
5 Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations – Chen - 1997
5 Simplified analysis of an O(nL)--iteration infeasible predictor--corrector path--following method for monotone LCP – Tseng - 1994
4 A Further Result on the Potential Reduction Algorithm for the P -Matrix Linear Complementarity – Ye - 1992
3 Iterative methods for linear complementarity problem with upperbounds and lowerbounds – Ahn - 1983
3 A hybrid smoothing method for mixed nonlinear complementarity problems – Gabriel - 1996
2 On the finite termination of the damped-Newton algorithm for the linear complementarity problem – Sun, Han, et al.