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QR decomposition
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{{Redirects here|QRD|the Maltese locality|Qrendi}}{{Short description|Matrix decomposition}} In [[linear algebra]], a '''QR decomposition''', also known as a '''QR factorization''' or '''QU factorization''', is a [[matrix decomposition|decomposition]] of a [[matrix (mathematics)|matrix]] ''A'' into a product ''A'' = ''QR'' of an [[orthonormal matrix]] ''Q'' and an [[upper triangular matrix]] ''R''. QR decomposition is often used to solve the [[linear least squares (mathematics)|linear least squares]] (LLS) problem and is the basis for a particular [[eigenvalue algorithm]], the [[QR algorithm]].
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