English

Noun
two-norm

1. 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.

• 2006-05-10 21:20 - 212.201.37.138 - dimensional

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