## Package org.apache.commons.math3.analysis.differentiation

This package holds the main interfaces and basic building block classes dealing with differentiation.

See:
Description

Interface Summary
MultivariateDifferentiableFunction: Extension of `MultivariateFunction` representing a multivariate differentiable real function.
MultivariateDifferentiableVectorFunction: Extension of `MultivariateVectorFunction` representing a multivariate differentiable vectorial function.
UnivariateDifferentiableFunction: Interface for univariate functions derivatives.
UnivariateDifferentiableMatrixFunction: Extension of `UnivariateMatrixFunction` representing a univariate differentiable matrix function.
UnivariateDifferentiableVectorFunction: Extension of `UnivariateVectorFunction` representing a univariate differentiable vectorial function.
UnivariateFunctionDifferentiator: Interface defining the function differentiation operation.
UnivariateMatrixFunctionDifferentiator: Interface defining the function differentiation operation.
UnivariateVectorFunctionDifferentiator: Interface defining the function differentiation operation.

Class Summary
DerivativeStructure: Class representing both the value and the differentials of a function.
DerivativeStructure.DataTransferObject: Internal class used only for serialization.
DSCompiler: Class holding "compiled" computation rules for derivative structures.
FiniteDifferencesDifferentiator: Univariate functions differentiator using finite differences.
GradientFunction: Class representing the gradient of a multivariate function.
JacobianFunction: Class representing the Jacobian of a multivariate vector function.

## Package org.apache.commons.math3.analysis.differentiation Description

This package holds the main interfaces and basic building block classes dealing with differentiation. The core class is `DerivativeStructure` which holds the value and the differentials of a function. This class handles some arbitrary number of free parameters and arbitrary derivation order. It is used both as the input and the output type for the `UnivariateDifferentiableFunction` interface. Any differentiable function should implement this interface.

The `UnivariateFunctionDifferentiator` interface defines a way to differentiation a simple `UnivariateFunction` and get a `UnivariateDifferentiableFunction`.

Similar interfaces also exist for multivariate functions and for vector or matrix valued functions.

Copyright (c) 2003-2013 Apache Software Foundation