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Schur decomposition

Schur decomposition noun: a matrix decomposition allowing one to write complex square matrices as similar to a triangular matrix whose diagonal elements are the eigenvalues of the original matrix.

Noun

Schur decomposition (uncountable)

  1. A matrix decomposition allowing one to write complex square matrices as similar to a triangular matrix whose diagonal elements are the eigenvalues of the original matrix.

Synonyms of Schur decomposition

Origin of Schur decomposition

Named after Russian mathematician Issai Schur.

Questions about Schur decomposition

What does Schur decomposition mean?
Schur decomposition means a matrix decomposition allowing one to write complex square matrices as similar to a triangular matrix whose diagonal elements are the eigenvalues of the original matrix.
What part of speech is Schur decomposition?
Schur decomposition is a noun.

Words near Schur decomposition in the dictionary

  1. Schupbach
  2. Schupbachs
  3. Schupp
  4. Schuppan
  5. Schur
  6. Schur decomposition
  7. Schur function
  8. Schur functions
  9. Schur triangulation
  10. Schur-concavity
  11. Schur-convexity

Source and license

Adapted from Wiktionary: Schur decomposition (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.

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