A locally parameterized continuation process
Werner C. Rheinboldt, John V. Burkardt · ACM Transactions on Mathematical Software · 1983
The design of a package of continuation procedures called PITCON to handle the following tasks is described' (1) follow numerically any a priori specified curve on an equilibrium manifold; (2) on such a curve determine the exact location of target points where a given variable has a specified value; and(3) on such a curve identify and compute exactly the (simple) limit points where stability may be lost.The process is based on the local parametenzatmn wh]ch uses an estimate of the curvature to control the chome of parameter varmble.Categorms and Subject Descriptors.G 1.