Nonlinear systems of equations

Unlike the other areas which have been discussed tonight , th is problem is not one for which "safe" programs or algorithms exis t which are assured of solving broad classes of problems. Rather, the f i e ld is characterized by the existence of numerous approaches, each of which may work for certain speci f ic types of systems and f a i l for others. Looking towards the future, the s i tuat ion may change with the development of su i t able polyalgorithms which combine a var ie ty of approaches. Typical applications where such systems as (1) arise are: