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Matrix decomposition
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=== Real Schur decomposition === *Applicable to: [[square matrix]] ''A'' *Decomposition: This is a version of Schur decomposition where <math>V</math> and <math>S</math> only contain real numbers. One can always write <math>A=VSV^\mathsf{T}</math> where ''V'' is a real [[orthogonal matrix]], <math>V^\mathsf{T}</math> is the [[matrix transpose|transpose]] of ''V'', and ''S'' is a [[block matrix|block upper triangular]] matrix called the real [[Schur form]]. The blocks on the diagonal of ''S'' are of size 1Γ1 (in which case they represent real eigenvalues) or 2Γ2 (in which case they are derived from [[complex conjugate]] eigenvalue pairs).
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