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QRDecompositionLUDecomposition

SchurDecomposition

FilledSmallSquareSchurDecomposition[m] yields the Schur decomposition for a numerical matrix m. The result is a list q, t where q is an orthogonal matrix and t is a block upper triangular matrix.

FilledSmallSquare The original matrix m is equal to q . t . Conjugate[Transpose[q]].

FilledSmallSquareSchurDecomposition[m, Pivoting -> True] yields a list q, t, d where d is a permuted diagonal matrix such that m . d is equal to d . q . t . Conjugate[Transpose[q]].

FilledSmallSquare See The Mathematica Book: Section 3.7.10.

FilledSmallSquare Implementation Notes: see section A.9.4.

FilledSmallSquare See also: QRDecomposition, LUDecomposition, SingularValues, JordanDecomposition.

FilledSmallSquare Related package: LinearAlgebra`Cholesky`.

Further Examples

QRDecompositionLUDecomposition