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Linear algebra

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gradient

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Numerical gradient.

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Syntax

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FX = gradient(F)

[FX, FY] = gradient(F)

[FX, FY, FZ, ..., FN] = gradient(F)

[...] = gradient(F, h)

[...] = gradient(F, hx, hy, ... , hN)

Input argument

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F

Input array: vector, matrix or multidimensional array.

h

Uniform spacing between points: scalar or 1 (default).

hx, hy, ..., hN

Spacing between points: vector, scalar or 1 (default).

Output argument

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FX, FY, FZ, ..., FN

Numerical gradients: array.

Description

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gradient(F) calculates the one-dimensional numerical gradient of the vector or matrix F.

The output FX represents the differences in the x (horizontal) direction, corresponding to ∂F/∂x.

It assumes that the spacing between points is 1.

gradient(F, h) allows for specifying a uniform spacing h between points in each direction.

This uniform spacing can also be individually specified for each dimension of F using gradient(F, hx, hy, ..., hN).

Example

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[X, Y] = meshgrid(-2:0.2:2);
Z = X .* exp(-X.^2 - Y.^2);
[U, V] = gradient(Z, 0.2, 0.2);

See also

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diff.

History

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Version	Description
1.3.0	initial version

Author

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Allan CORNET