Existence and Limiting Behavior of Trajectories Associatedwith P0-equations
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part I
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part II
Journal of Optimization Theory and Applications
Complexity of a noninterior path-following method for the linear complementarity problem
Journal of Optimization Theory and Applications
Smoothing Newton and Quasi-Newton Methods for Mixed Complementarity Problems
Computational Optimization and Applications
A Smoothing Newton Method for General Nonlinear Complementarity Problems
Computational Optimization and Applications
Computational Optimization and Applications
A Complexity Bound of a Predictor-Corrector Smoothing Method Using CHKS-Functions for Monotone LCP
Computational Optimization and Applications
Computational Optimization and Applications
Quadratic one-step smoothing Newton method for P0-LCP without strict complementarity
Applied Mathematics and Computation
A Smoothing Method for a Mathematical Program with P-Matrix Linear Complementarity Constraints
Computational Optimization and Applications
Computational Optimization and Applications
Journal of Global Optimization
Applications of smoothing methods in numerical analysis and optimization
Focus on computational neurobiology
An entropic regularization approach for mathematical programs with equilibrium constraints
Computers and Operations Research
Computational Optimization and Applications
Journal of Global Optimization
Smoothing-type algorithm for solving linear programs by using an augmented complementarity problem
Applied Mathematics and Computation
Expected Residual Minimization Method for Stochastic Linear Complementarity Problems
Mathematics of Operations Research
A new smoothing quasi-Newton method for nonlinear complementarity problems
Journal of Computational and Applied Mathematics
Globally convergent Jacobian smoothing inexact Newton methods for NCP
Computational Optimization and Applications
A smoothing conic trust region filter method for the nonlinear complementarity problem
Journal of Computational and Applied Mathematics
Solving mathematical programs with fuzzy equilibrium constraints
Computers & Mathematics with Applications
Smoothing algorithms for complementarity problems over symmetric cones
Computational Optimization and Applications
Computational Optimization and Applications
Smoothing Newton method for NCP with the identification of degenerate indices
Journal of Computational and Applied Mathematics
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
Computers & Mathematics with Applications
SIAM Journal on Optimization
A Continuation Method for Nonlinear Complementarity Problems over Symmetric Cones
SIAM Journal on Optimization
Collapse load evaluation of structures with frictional contact supports under combined stresses
Computers and Structures
A new hybrid method for nonlinear complementarity problems
Computational Optimization and Applications
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 size scaling approach for mixed-size placement
Proceedings of the 2012 ACM international symposium on International Symposium on Physical Design
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 neural network for the linear complementarity problem
Mathematical and Computer Modelling: An International Journal
A smoothing Broyden-like method for the mixed complementarity problems
Mathematical and Computer Modelling: An International Journal
A new approach to continuation methods for complementarity problems with uniform P-functions
Operations Research Letters
On the equivalence of linear complementarity problems
Operations Research Letters
Computational Optimization and Applications
A quasisecant method for solving a system of nonsmooth equations
Computers & Mathematics with Applications
A fixed-point method for a class of super-large scale nonlinear complementarity problems
Computers & Mathematics with Applications
Hi-index | 0.00 |
We introduce some new path-following methods for the solution of the linear complementarity problem. We call these methods noninterior continuation methods since, in contrast to interior-point methods, not all iterates have to stay in the positive orthant. This is possible since we reformulate certain perturbed complementarity problems as a nonlinear system of equations. However, similar to interior-point methods, we also try to follow the central path. We present some conditions which guarantee the existence of this central path, prove a global convergence result for some implementable noninterior continuation methods, and report some numerical results obtained with these methods. We also prove global error bound results for the perturbed linear complementarity problems.