The natural norm induced by the L_1-norm is called the maximum absolute column sum norm and is defined by left double bracketing bar A right double bracketing bar _1 = max_j sum_(i = 1)^n left bracketing bar a_(i j) right bracketing bar for a matrix A. This matrix norm is implemented as MatrixNorm[m, 1] in the Wolfram Language package MatrixManipulationˋ .

Frobenius norm | Hilbert-Schmidt norm | L^1-norm | matrix norm | maximum absolute row sum norm | spectral norm