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Sylvester equation

Sylvester equation noun: a 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.

Noun

Sylvester equation (plural Sylvester equations)

  1. A 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.

Forms of Sylvester equation

pluralSylvester equations

Origin of Sylvester equation

Named after J. Sylvester, who published on the topic in 1884.

Questions about Sylvester equation

What does Sylvester equation mean?
Sylvester equation means a 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.
What part of speech is Sylvester equation?
Sylvester equation is a noun.
What is the plural of Sylvester equation?
The plural of Sylvester equation is Sylvester equations.

Words near Sylvester equation in the dictionary

  1. sylvatics
  2. Sylve
  3. sylver
  4. Sylves
  5. sylvester
  6. Sylvester equation
  7. Sylvester equations
  8. Sylvester's criterion
  9. Sylvester's formula
  10. Sylvester-Gallai theorem
  11. sylvesters

Source and license

Adapted from Wiktionary: Sylvester equation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

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