norm

Matrix and vector norms

Syntax

• R = norm(V)
• R = norm(V, p)
• R = norm(V, 'fro')
• R = norm(M)
• R = norm(M, 1)
• R = norm(M, 2)
• R = norm(M, Inf)
• R = norm(M, 'fro')

Input argument

• M - a 2D matrix single or double
• V - a vector single or double
• p - a scalar (p-norm)

Output argument

• R - result of norm: scalar.

Description

norm computes the norm of a vector or a matrix.

Frobenius norm of M is equal to sqrt (sum (diag (M' * M))) .

Examples

M = [1 2; 3 4];
norm(M)
norm(M, 1)
norm(M, 2)
norm(M, Inf)
norm(M, 'fro')
V = [1 2 3 4];
norm(V)
norm(V, 1)
norm(V, 2)
norm(V, Inf)
norm(V, 'fro')

x = ones(3000, 3000);
tic();R = norm(x);toc

See also

svd.

History

Author

Allan CORNET