Mathematics of Operations Research
Homotopy continuation methods for nonlinear complementarity problems
Mathematics of Operations Research
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
NE/SQP: a robust algorithm for the nonlinear complementarity problem
Mathematical Programming: Series A and B
A superlinear infeasible-interior-point algorithm for monotone complementarity problems
Mathematics of Operations Research
On homogeneous and self-dual algorithms for LCP
Mathematical Programming: Series A and B - Special issue: interior point methods in theory and practice
Mathematical Programming: Series A and B - Special issue: interior point methods in theory and practice
Polynomiality of primal-dual affine scaling algorithms for nonlinear complementarity problems
Mathematical Programming: Series A and B
Interior point algorithms: theory and analysis
Interior point algorithms: theory and analysis
Mathematics of Operations Research
Structural and Stability Properties of P0 Nonlinear Complementarity Problems
Mathematics of Operations Research
High Order Infeasible-Interior-Point Methods for Solving Sufficient Linear Complementarity Problems
Mathematics of Operations Research
Infeasible-interior-point paths for sufficient linear complementarity problems and their analyticity
Mathematical Programming: Series A and B
Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
Strict feasibility conditions in nonlinear complementarity problems
Journal of Optimization Theory and Applications
On a New Homotopy Continuation Trajectory for Nonlinear Complementarity Problems
Mathematics of Operations Research
Properties of a Multivalued Mapping Associated with Some Nonmonotone Complementarity Problems
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
A Global and Local Superlinear Continuation-Smoothing Method for P0 and R0 NCP or Monotone NCP
SIAM Journal on Optimization
Regularization of P0-Functions in Box Variational Inequality Problems
SIAM Journal on Optimization
A Large-Step Infeasible-Interior-Point Method for the P*-Matrix LCP
SIAM Journal on Optimization
An Infeasible Path-Following Method for Monotone Complementarity Problems
SIAM Journal on Optimization
Interior point algorithm for P* nonlinear complementarity problems
Journal of Computational and Applied Mathematics
A full-Newton step feasible interior-point algorithm for P*(κ)-linear complementarity problems
Journal of Global Optimization
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Based on the recent theoretical results of Zhao and Li [Math. Oper. Res., 26 (2001), pp. 119--146], we present in this paper a new path-following method for nonlinear P* complementarity problems. Different from most existing interior-point algorithms that are based on the central path, this algorithm tracks the "regularized central path" which exists for any continuous P* problem. It turns out that the algorithm is globally convergent for any P* problem provided that its solution set is nonempty. By different choices of the parameters in the algorithm, the iterative sequence can approach to different types of points of the solution set. Moreover, local superlinear convergence of this algorithm can also be achieved under certain conditions.