Predictors and Correctors

Predictors and Correctors

We use a predictor-corrector scheme to track paths. These are the predictors and correctors currently available.

Predictors

The following predictors are currently implemented.

HomotopyContinuation.Predictors.RK4 — Type.
RK4()

The classical Runge-Kutta predictor of order 4.

HomotopyContinuation.Predictors.Euler — Type.
Euler()

This uses the explicit Euler method for prediction, also known as the tangent predictor.

HomotopyContinuation.Predictors.NullPredictor — Type.
NullPredictor()

A predictor which does no prediction step, i.e., it just returns the input as its prediction.

Correctors

HomotopyContinuation.Correctors.Newton — Type.
Newton()

A classical simple Newton operator for square linear systems using the LU factorization to solve the linear systems.