Norm

Euclidean Norm

The Euclidean norm (or 2-norm) of a vector v that has N elements is defined by

General Vector Norm

The general definition for the vector p-norm of a vector v that has N elements is

where p is any positive real value, Inf, or -Inf.

Maximum Absolute Column Sum

The maximum absolute column sum of an m-by-n matrix X (with m,n >= 2) is defined by

Maximum Absolute Row Sum

The maximum absolute row sum of an m-by-n matrix X (with m,n >= 2) is defined by

Frobenius Norm

The Frobenius norm of an m-by-n matrix X (with m,n >= 2) is defined by

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19 + 14 =

79 − 74 =