two-norm

noun

A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√(a_1²+a_2²+⋯+a_n²). The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector.

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Meanings

nountwo-norm (plural two-norms)

plural two-norms

  1. mathematicsA measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√(a_1²+a_2²+⋯+a_n²). The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector.

Translations

French norme 2
  • norme 2mathematical measure of length
Cite this entry
APA

two-norm. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/two-norm

MLA

“two-norm.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/two-norm. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “two-norm,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/two-norm.

Source: two-norm on Wiktionary, CC BY-SA 4.0.