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