An extended continuous Newton method (Q1264096)

This paper describes a numerical realization of an extended continuous Newton method defined previously by the first author [Math. Program. 39, 181-188 (1987; Zbl 0632.65057)]. It traces a connected set of locally one-dimensional trajectories which contains all critical points of a smooth function f: \({\mathbb{R}}^ n\to {\mathbb{R}}\). The results show that the method is effectively applicable.