• two-norm
• two-norms

two-norm (suomeksi)

Määritelmät:

• 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.