two-norm

Fetched 2026-10-26 (cache).

Synonyms: two-form, two-port, t-norm

Antonyms: two-form, two-port, t-norm

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|math}} A [[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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