gradient

Numerical gradient.

📝 Syntax

• FX = gradient(F)

• [FX, FY] = gradient(F)

• [FX, FY, FZ, ..., FN] = gradient(F)

• [...] = gradient(F, h)

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

📥 Input argument

• 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

• FX, FY, FZ, ..., FN - Numerical gradients: array.

📄 Description

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 usinggradient(F, hx, hy, ..., hN).

💡 Example

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

🔗 See also

diff.

🕔 History

Version	📄 Description
1.3.0	initial version