Norm

Norm[expr] gives the norm of a number or array.

Norm[expr, p] gives the -norm.

For complex numbers, Norm[z] is Abs[z].

For vectors, Norm[v] is Sqrt[v . Conjugate[v]].

Norm[v, p] is Total[Abs[v^p]]^(1/p).

Norm[v, Infinity] is the -norm given by Max[Abs[v]].

For matrices, Norm[m] gives the maximum singular value of m.

Norm can be used on SparseArray objects.

See Section 1.8.3.

See also: Abs, Dot, Total, SingularValueList, Integrate.

New in Version 5.0.

Further Examples