Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
A globally convergent Newton method for solving strongly monotone variational inequalities
Mathematical Programming: Series A and B
A class of gap functions for variational inequalities
Mathematical Programming: Series A and B
Globally and Superlinearly Convergent Algorithm for Minimizing a Normal Merit Function
SIAM Journal on Control and Optimization
Mathematics of Operations Research
A continuation method for (strongly) monotone variational inequalities
Mathematical Programming: Series A and B
SIAM Journal on Optimization
SIAM Journal on Optimization
SIAM Journal on Optimization
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
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In this note, we introduce a new continuously differentiable merit functionfor solving variational inequalities. Our function is closely related to theaugmented lagrangian function for nonlinear optimization problems. We solvetwo equilibrium problems and obtain numerical results making use of aquasi-Newton method. Our computational experience shows that the new functionperforms quite well.