The natural norm induced by the L1-norm is called the maximum absolute column sum norm and is defined by
 |
for a matrix 
. This matrix norm is implemented
as MatrixNorm[m,
1] in the Wolfram Language package
MatrixManipulation` .
Maximum Absolute Column Sum Norm
See also
Frobenius Norm, Hilbert-Schmidt Norm, L1-Norm, Matrix Norm, Maximum Absolute Row Sum Norm, Spectral NormExplore with Wolfram|Alpha
References
Horn, R. A. and Johnson, C. R. "Norms for Vectors and Matrices." Ch. 5 in Matrix Analysis. Cambridge, England: Cambridge University Press, 1990.Referenced on Wolfram|Alpha
Maximum Absolute Column Sum NormCite this as:
Weisstein, Eric W. "Maximum Absolute Column Sum Norm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MaximumAbsoluteColumnSumNorm.html