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Schur decomposition
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{{Short description|Matrix factorisation in mathematics}} In the [[mathematics|mathematical]] discipline of [[linear algebra]], the '''Schur decomposition''' or '''Schur triangulation''', named after [[Issai Schur]], is a [[matrix decomposition]]. It allows one to write an arbitrary complex square matrix as [[Matrix similarity|unitarily similar]] to an [[Upper-triangular matrix|upper triangular matrix]] whose diagonal elements are the eigenvalues of the original matrix.
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