Interface VectorFunction<F extends Field<F>>

All Superinterfaces:

ContinuousFunction<Vector<F>, Vector<F>>, DifferentiableFunction<Vector<F>, Vector<F>>, Function<Vector<F>, Vector<F>>, Function<Vector<F>, Vector<F>>, Relation<Vector<F>, Vector<F>>

All Known Implementing Classes:

DiscreteFourierTransform

public interface VectorFunction<F extends Field<F>>
extends DifferentiableFunction<Vector<F>, Vector<F>>

Represents a function from a vector space to another (F^n -> F^m).

Supports Jacobian matrix calculation for differentiation.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
default Function<Vector<F>, Vector<F>>	differentiate()	Returns the derivative of this function, which is the linear map represented by the Jacobian.
default Matrix<F>	jacobian(Vector<F> point)	Calculates the Jacobian matrix at the given point.
int	outputDimension()	Returns the dimension of the output vector.

Methods inherited from interface ContinuousFunction

isContinuous

Methods inherited from interface DifferentiableFunction

isDifferentiable

Methods inherited from interface Function

compose

Methods inherited from interface Function

andThen, apply, compose, contains, evaluate, evaluate, getBackend, setBackend

Methods inherited from interface Relation

getCodomain, getDomain

Method Details

outputDimension

int outputDimension()

Returns the dimension of the output vector.

Returns:

m where f: F^n -> F^m

jacobian

default Matrix<F> jacobian(Vector<F> point)

Calculates the Jacobian matrix at the given point. J_ij = d(f_i)/d(x_j) Default implementation uses central difference approximation if F is Real.

Parameters:

point - the point at which to evaluate the Jacobian

Returns:

the Jacobian matrix (m x n)

differentiate

default Function<Vector<F>, Vector<F>> differentiate()

Returns the derivative of this function, which is the linear map represented by the Jacobian.

Specified by:

differentiate in interface DifferentiableFunction<Vector<F extends Field<F>>, Vector<F extends Field<F>>>

Returns:

f'