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ParameterHomotopy -- a homotopy that involves parameters

Description

An abstract type that of homotopy that involves parameters. Can be specialized to produce SpecializedParameterHomotopy.

See also

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 -- evaluate a homotopy and its derivatives
  • evaluateHt(ParameterHomotopy,Matrix,Matrix,Number) -- see evaluateH -- evaluate a homotopy and its derivatives
  • evaluateHx(ParameterHomotopy,Matrix,Matrix,Number) -- see evaluateH -- evaluate a homotopy and its derivatives
  • 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) -- see specialize -- specialize parameters

For the programmer

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

The source of this document is in /build/reproducible-path/macaulay2-1.26.06+ds/M2/Macaulay2/packages/NumericalAlgebraicGeometry/doc.m2:1411:0.