Maximum Absolute Column Sum Norm

The natural norm induced by the L1-norm is called the maximum absolute column sum norm and is defined by


for a matrix A. This matrix norm is implemented as MatrixNorm[m, 1] in the Wolfram Language package MatrixManipulation` .

See also

Frobenius Norm, Hilbert-Schmidt Norm, L1-Norm, Matrix Norm, Maximum Absolute Row Sum Norm, Spectral Norm

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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 Norm

Cite this as:

Weisstein, Eric W. "Maximum Absolute Column Sum Norm." From MathWorld--A Wolfram Web Resource.

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