Interface MultivariateFunction

All Superinterfaces:

Function<Vector<Real>, Real>, Function<Vector<Real>, Real>, Relation<Vector<Real>, Real>, ScalarFunction<Vector<Real>>

public interface MultivariateFunction
extends ScalarFunction<Vector<Real>>

Multivariate function (multiple variables: ℝⁿ → ℝ).

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
default Vector<Real>	gradient(Vector<Real> x)	Computes the gradient at a point.
default Real	partialDerivative(Vector<Real> x, int index)	Computes the partial derivative with respect to variable i.

Methods inherited from interface Function

compose

Methods inherited from interface Function

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

Methods inherited from interface Relation

getCodomain, getDomain

Method Details

partialDerivative

default Real partialDerivative(Vector<Real> x,
 int index)

Computes the partial derivative with respect to variable i.

Parameters:

x - the point

index - the variable index

Returns:

the partial derivative

gradient

default Vector<Real> gradient(Vector<Real> x)

Computes the gradient at a point.

Parameters:

x - the point

Returns:

the gradient vector