Meanings
nounSylvester equation (plural Sylvester equations)
plural Sylvester equations
- mathematicsA matrix equation, used in control theory, of the form AX + XB = C. Given matrices A, B, and C, the problem is to find possible matrices for X.
Origin
Named after J. Sylvester, who published on the topic in 1884.
Full word history & related roots →Cite this entry
APA
Sylvester equation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Sylvester%20equation
MLA
“Sylvester equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sylvester%20equation. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Sylvester equation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Sylvester%20equation.
Source: Sylvester equation on Wiktionary, CC BY-SA 4.0.