two-norm

Noun. Mathematical measure of length given by "the square root of the squares." Denoted by

||cdot||_2

, the two-norm of a vector

vec v=

||vec v||_2=sqrt{a_1^2+a_2^2+cdots+a_n^2}

. The two norm of an

m	imes m

matrix

A

is defined by

max_{vec v
eqvec 0}frac{||Avec v||_2}{||vec v||_2}

where

vec v

is an m-dimensional vector that is not the zero vector.

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This entry was last updated on RefTopia from its source on 3/20/2012.