vec_math
Interface VectorDifferentiable

All Superinterfaces:

VectorFunction

All Known Implementing Classes:

AbstractVectorDifferentiable

public interface VectorDifferentiable
extends VectorFunction

A interface that defines multidimensional functions, VectorFunctions, that are also differentiable to a certain degree.

Method Summary

VectorG

gradient(int[] i, VectorG x) Returns the evaluation of the gradient of the function in carthesian coordinates.

Methods inherited from interface vec_math.VectorFunction

argumentDimension, evaluate, functionDimension

Method Detail

gradient

VectorG gradient(int[] i,
                 VectorG x)

Returns the evaluation of the gradient of the function in carthesian coordinates.

       g_i = dn[]F_i/(dx_j)n_j(dx_k))n_k
       

, where the provided integer array gives the depth in all x_i. The returned VectorG is of dimension VectorFunction.functionDimension().

Parameters:

i - For each index i in x the differntiation depth. Length of array is VectorFunction.argumentDimension().

x - The values where the gradient should be evaluated.

Returns:

VectorG of dimensionality VectorFunction.functionDimension()

Throws:

UnsupportedOperationException - If the requested order cannot be calculated