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- Francisco Facchinei, Christian Kanzow
- Annals OR
- 2007

The Generalized Nash equilibrium problem is an important model that has its roots in the economic sciences but is being fruitfully used in many different fields. In this survey paper we aim atâ€¦ (More)

- Christian Kanzow
- SIAM J. Matrix Analysis Applications
- 1996

- Tecla De Luca, Francisco Facchinei, Christian Kanzow
- Math. Program.
- 1996

In this paper we present a new algorithm for the solution of nonlinear complementarity problems. The algorithm is based on a semismooth equation re-formulation of the complementarity problem. Weâ€¦ (More)

- Francisco Facchinei, Andreas Fischer, Christian Kanzow
- SIAM Journal on Optimization
- 1998

We consider nonlinear programs with inequality constraints, and we focus on the problem of identifying those constraints which will be active at an isolated local solution. The correct identificationâ€¦ (More)

- Bintong Chen, Xiaojun Chen, Christian Kanzow
- Math. Program.
- 2000

We introduce a new NCP-function in order to reformulate the nonlinear complementarity problem as a nonsmooth system of equations. This new NCP-function turns out to have stronger theoreticalâ€¦ (More)

- Francisco Facchinei, Christian Kanzow
- Math. Program.
- 1996

A new algorithm for the solution of large-scale nonlinear complementarity problems is introduced. The algorithm is based on a nonsmooth equation reformulation of the complementarity problem and on anâ€¦ (More)

- Carl Geiger, Christian Kanzow
- Comp. Opt. and Appl.
- 1996

A reformulation of the nonlinear complementarity problem (NCP) as an unconstrained minimization problem is considered. It is shown that any stationary point of the unconstrained objective function isâ€¦ (More)

Regularization methods for the solution of nonlinear complementarity problems are standard methods for the solution of monotone complementarity problems and possess strong convergence properties. Inâ€¦ (More)

- Wolfgang Achtziger, Christian Kanzow
- Math. Program.
- 2008

We consider a difficult class of optimization problems that we call a mathematical program with vanishing constraints. Problems of this kind arise in various applications including optimal topologyâ€¦ (More)

We consider the problem of finding a solution of a constrained (and not necessarily square) system of equations, i.e., we consider systems of nonlinear equations and want to find a solution thatâ€¦ (More)