Journal of Optimization Theory and Applications
Complexity of a noninterior path-following method for the linear complementarity problem
Journal of Optimization Theory and Applications
Computational Optimization and Applications
A Smoothing Newton Method for General Nonlinear Complementarity Problems
Computational Optimization and Applications
Computational Optimization and Applications
Smoothing Method for Minimax Problems
Computational Optimization and Applications
A Complexity Bound of a Predictor-Corrector Smoothing Method Using CHKS-Functions for Monotone LCP
Computational Optimization and Applications
Quadratic one-step smoothing Newton method for P0-LCP without strict complementarity
Applied Mathematics and Computation
Computational Optimization and Applications
Computational Optimization and Applications
Applications of smoothing methods in numerical analysis and optimization
Focus on computational neurobiology
A New Path-Following Algorithm for Nonlinear P*Complementarity Problems
Computational Optimization and Applications
Smoothing-type algorithm for solving linear programs by using an augmented complementarity problem
Applied Mathematics and Computation
A smoothing-type algorithm for solving system of inequalities
Journal of Computational and Applied Mathematics
A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems
Optimization Methods & Software
A self-adjusting interior point algorithm for linear complementarity problems
Computers & Mathematics with Applications
Computational Optimization and Applications
A new smoothing and regularization Newton method for P0-NCP
Journal of Global Optimization
A non-interior continuation algorithm for the CP based on a generalized smoothing function
Journal of Computational and Applied Mathematics
A new smoothing Broyden-like method for solving nonlinear complementarity problem with a P0-function
Journal of Global Optimization
A full-Newton step non-interior continuation algorithm for a class of complementarity problems
Journal of Computational and Applied Mathematics
A continuation method for the linear second-order cone complementarity problem
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
A fixed-point method for a class of super-large scale nonlinear complementarity problems
Computers & Mathematics with Applications
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A noninterior path-following algorithm is proposed for the linear complementarity problem. The method employs smoothing techniques introduced by Kanzow. If the LCP is P0 + R0 and satisfies a nondegeneracy condition due to Fukushima, Luo, and Pang, then the algorithm is globally linearly convergent. As with interior point path-following methods, the convergence theory relies on the notion of a neighborhood for the central path. However, the choice of neighborhood differs significantly from that which appears in the interior point literature. Numerical experiments are presented that illustrate the significance of the neighborhood concept for this class of methods.