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Norm

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

FilledSmallSquare Norm[expr, p] gives the -norm.

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

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

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

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

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

FilledSmallSquare Norm can be used on SparseArray objects.

FilledSmallSquare See Section 1.8.3.

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

FilledSmallSquare New in Version 5.0.

Further Examples