Mathematical Programming: Series A and B
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
A semismooth equation approach to the solution of nonlinear complementarity problems
Mathematical Programming: Series A and B
Modified Newton methods for solving a semismooth reformulation of monotone complementarity problems
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
Solution of monotone complementarity problems with locally Lipschitzian functions
Mathematical Programming: Series A and B - Special issue on computational nonsmooth optimization
Global methods for nonlinear complementarity problems
Mathematics of Operations Research
New NCP-functions and their properties
Journal of Optimization Theory and Applications
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part II
Jacobian Smoothing Methods for Nonlinear Complementarity Problems
SIAM Journal on Optimization
Lagrangian globalization methods for nonlinear complementarity problems
Journal of Optimization Theory and Applications
The Lagrangian Globalization Method for Nonsmooth Constrained Equations
Computational Optimization and Applications
A smoothing inexact Newton method for nonlinear complementarity problems
Journal of Computational and Applied Mathematics
A new filled function method for an unconstrained nonlinear equation
Journal of Computational and Applied Mathematics
Hi-index | 0.00 |
Based on NCP functions, we present a Lagrangian globalization (LG) algorithm model for solving the nonlinear complementarity problem. In particular, this algorithm model does not depend on some specific NCP function. Under several theoretical assumptions on NCP functions we prove that the algorithm model is well-defined and globally convergent. Several NCP functions applicable to the LG-method are analyzed in details and shown to satisfy these assumptions. Furthermore, we identify not only the properties of NCP functions which enable them to be used in the LG method but also their properties which enable the strict complementarity condition to be removed from the convergence conditions of the LG method. Moreover, we construct a new NCP function which possesses some favourable properties.