Cauchy-Schwarz inequality

proper noun

A theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors.

Meanings

proper noun
  1. linear algebraA theorem which states that the absolute value of the dot product between two vectors is less than or equal to the product of the magnitudes of the two vectors.

Origin

Named after Augustin-Louis Cauchy and Hermann Amandus Schwarz.

Full word history & related roots →
Cite this entry
APA

Cauchy-Schwarz inequality. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Cauchy-Schwarz%20inequality

MLA

“Cauchy-Schwarz inequality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cauchy-Schwarz%20inequality. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cauchy-Schwarz inequality,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Cauchy-Schwarz%20inequality.

Source: Cauchy-Schwarz inequality on Wiktionary, CC BY-SA 4.0.