
Definition of Twonorm
1. Noun. Mathematical measure of length given by "the square root of the squares." Denoted by $\backslash cdot\_2$, the twonorm of a vector $\backslash vec\; v=,a\_2,\backslash ldots,a\_n>$ is $\backslash vec\; v\_2=\backslash sqrt\{a\_1^2+a\_2^2+\backslash cdots+a\_n^2\}$. The two norm of an $m\backslash times\; m$ matrix $A$ is defined by $\backslash max\_\{\backslash vec\; v\backslash neq\backslash vec\; 0\}\backslash frac\{A\backslash vec\; v\_2\}\{\backslash vec\; v\_2\}$ where $\backslash vec\; v$ is an mdimensional vector that is not the zero vector. ¹
¹ Source: wiktionary.com
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