Inexact Newton methods for the nonlinear complementarity problem
Mathematical Programming: Series A and B
Newton's method for B-differentiable equations
Mathematics of Operations Research
Newton's method for the nonlinear complementarity problem: a B-differentiable equation problem
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
A general descent framework for the monotone variational inequality problem
Mathematical Programming: Series A and B
A class of gap functions for variational inequalities
Mathematical Programming: Series A and B
A nonsmooth Newton method for variational inequalities, I: theory
Mathematical Programming: Series A and B
Error bounds for analytic systems and their applications
Mathematical Programming: Series A and B
Nonlinear complementarity as unconstrained and constrained minimization
Mathematical Programming: Series A and B - Special issue: Festschrift in Honor of Philip Wolfe part II: studies in nonlinear programming
A Newton method for a class of quasi-variational inequalities
Computational Optimization and Applications
On stationary points of the implicit Lagrangian for nonlinear complementarity problems
Journal of Optimization Theory and Applications
Inexact Newton methods for solving nonsmooth equations
Proceedings of the international meeting on Linear/nonlinear iterative methods and verification of solution
A Newton-type method for positive-semidefinite linear complementarity problems
Journal of Optimization Theory and Applications
Smoothing methods for convex inequalities and linear complementarity problems
Mathematical Programming: Series A and B
Growth behavior of a class of merit functions for the nonlinear complementarity problem
Journal of Optimization Theory and Applications
On the resolution of monotone complementarity problems
Computational Optimization and Applications
Algorithms for complementarity problems and generalized equations
Algorithms for complementarity problems and generalized equations
Equivalence of the generalized complementarity problem to differentiable unconstrained minimization
Journal of Optimization Theory and Applications
A semismooth equation approach to the solution of nonlinear complementarity problems
Mathematical Programming: Series A and B
Unconstrained optimization reformulations of variational inequality problems
Journal of Optimization Theory and Applications
A nonsmooth inexact Newton method for the solution of large-scale nonlinear 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
Convexity of the implicit Lagrangian
Journal of Optimization Theory and Applications
A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
On unconstrained and constrained stationary points of the implicit Lagrangian
Journal of Optimization Theory and Applications
Global methods for nonlinear complementarity problems
Mathematics of Operations Research
Stationary points of bound constrained minimization reformulations of complementarity problems
Journal of Optimization Theory and Applications
Equivalence of variational inequality problems to unconstrained minimization
Mathematical Programming: Series A and B
New NCP-functions and their properties
Journal of Optimization Theory and Applications
Solution of finite-dimensional variational inequalities using smooth optimization with simple bounds
Journal of Optimization Theory and Applications
New constrained optimization reformulation of complementarity problems
Journal of Optimization Theory and Applications
Structural and Stability Properties of P0 Nonlinear Complementarity Problems
Mathematics of Operations Research
Mathematical Programming: Series A and B
Merit functions for semi-definite complementarity problems
Mathematical Programming: Series A and B
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems
Computational Optimization and Applications
Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
SIAM Journal on Control and Optimization
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
Stabilized Sequential Quadratic Programming
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
SIAM Journal on Optimization
A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
SIAM Journal on Optimization
On the Identification of Zero Variables in an Interior-Point Framework
SIAM Journal on Optimization
On the Accurate Identification of Active Constraints
SIAM Journal on Optimization
Smooth Approximations to Nonlinear Complementarity Problems
SIAM Journal on Optimization
Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
SIAM Journal on Optimization
Regularity Properties of a Semismooth Reformulation of Variational Inequalities
SIAM Journal on Optimization
A Linearly Convergent Derivative-Free Descent Method for Strongly Monotone Complementarity Problems
Computational Optimization and Applications
Minimization of SC1 functions and the Maratos effect
Operations Research Letters
Hi-index | 0.00 |
Merit functions have become important tools for solving various mathematical problems arising from engineering sciences and economic systems. In this paper, we are surveying basic principles and properties of merit functions and some of their applications. As a particular case we will consider the nonlinear complementarity problem (NCP) and present a collection of different merit functions. We will also introduce and study a class of smooth merit functions for the NCP.