vecnorm

Vector-wise norm.

📝 Syntax

• N = vecnorm(A)

• N = vecnorm(A, p)

• N = vecnorm(A, p, dim)

📥 Input argument

• A - vector, matrix or multidimensional array

• p - Norm type: 2 (default), a positive scalar, or Inf.

• dim - positive integer scalar

📤 Output argument

• n - norm: scalar or vector

📄 Description

vecnorm computes the 2-norm or Euclidean norm of the input arrayA

If A is a vector,vecnorm returns the norm of the vector.

If A is a matrix,vecnorm returns the norm of each column.

For multidimensional arrays,vecnorm returns the norm along the first array dimension whose size does not equal 1.

To compute the generalized vector p-norm, you can use the syntaxN = vecnorm(A, p).

To operate along a specific dimension dim, the function can be called asN = vecnorm(A, p, dim).

In this case, the size of the specified dimension reduces to 1, while the sizes of all other dimensions remain unchanged.

💡 Example

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];
n = vecnorm(A)
n = vecnorm(A, 2, 2)
n = vecnorm(A, 1)

🔗 See also

norm.

🕔 History

Version	📄 Description
1.3.0	initial version