The filter-idea and its application 
                     to the nonlinear feasibility problem

                       N.I.M. Gould and Ph. L. Toint

                                Report 03/18


The note presents an outline of the filter-trust-region idea applied to the
nonlinear feasibility problem with special emphasis on systems of nonlinear
equations.  The main algorithmic ingredients are discussed, the algorithm is
outlined and some motivating numerical results presented.