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Mathematica > Matrix-Based Minimization >

Norm

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

Norm[expr, p]
gives the

-norm.

MORE INFORMATION

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

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

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

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

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

Norm[m, "Frobenius"] gives the Frobenius norm of m. »

Norm can be used on SparseArray objects. »

Basic Examples (2)

Norm of a vector:

Norm of a complex number:

Generalizations & Extensions (6)

Applications (3)

Properties & Relations (4)

Possible Issues (1)

Neat Examples (2)

Normalize Abs EuclideanDistance Dot Total RootMeanSquare SingularValueList Integrate Outer

Vectors and Matrices

Vector Operations

Linear Systems

Math & Counting Operations on Lists

Matrices and Linear Algebra

Matrix-Based Minimization

Numerical Evaluation & Precision

Operations on Vectors

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