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 array A

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 syntax N = vecnorm(A, p).

To operate along a specific dimension dim, the function can be called as N = 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

Author

Allan CORNET