two-norm

Noun

 * 1)  A measure of length given by "the square root of the squares." Denoted by $$||\cdot||_2$$, the two-norm of a vector $$\vec v=$$ is $$||\vec v||_2=\sqrt{a_1^2+a_2^2+\cdots+a_n^2}$$. The two norm of an $$m\times m$$ matrix $$A$$ is defined by $$\max_{\vec v\neq\vec 0}\frac{||A\vec v||_2}{||\vec v||_2}$$ where $$\vec v$$ is an m-dimensional vector that is not the zero vector.

Translations

 * French: norme 2