ParameterHomotopy -- a homotopy that involves parameters

Types of ParameterHomotopy:

• GateParameterHomotopy -- a homotopy that involves parameters and is implemented via straight line programs

Methods that use an object of class ParameterHomotopy:

• evaluateH(ParameterHomotopy,Matrix,Matrix,Number) -- see evaluateH -- evaluates the homotopy
• evaluateHt(ParameterHomotopy,Matrix,Matrix,Number) -- see evaluateHt -- evaluates the derivative of the homotopy with respect to the continuation parameter
• evaluateHx(ParameterHomotopy,Matrix,Matrix,Number) -- see evaluateHx -- evaluates the jacobian of the homotopy
• numParameters(ParameterHomotopy) -- the number of parameters in the parameter homotopy
• numVariables(ParameterHomotopy) -- the number of variables in the parameter homotopy
• parameters(ParameterHomotopy) -- the parameters in the parameter homotopy
• specialize(ParameterHomotopy,Matrix) -- specialize a parameter homotopy

For the programmer

The object ParameterHomotopy is a type, with ancestor classes MutableHashTable < HashTable < Thing.

The source of this document is in NumericalAlgebraicGeometry/doc.m2:1309:0.