Meanings
nounSchur decomposition (uncountable)
- uncountablelinear algebraA 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: Schur triangulation
Synonyms & antonyms
nounA 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.
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Origin
Named after Russian mathematician Issai Schur (1875–1941).
Full word history & related roots →Cite this entry
APA
Schur decomposition. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Schur%20decomposition
MLA
“Schur decomposition.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Schur%20decomposition. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Schur decomposition,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Schur%20decomposition.
Source: Schur decomposition on Wiktionary, CC BY-SA 4.0.