English-French translations for two-norm

• norme 2

Definition of two-norm

• Mathematical measure of length given by "the square root of the squares." Denoted by $||\backslash cdot||\_2$, the two-norm of a vector 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 m-dimensional vector that is not the zero vector

Related words

• two-
• two-way
• two-piece
• two-dimensional
• two-minded
• two-tailed
• two-line
• two-accented
• two-legged
• two-headed