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Difference between revisions of "Unitary-triangular factorizations"

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'''Унитарно-треугольные разложения''' - разложения матриц в произведение треугольной и унитарной (в вещественном случае ортогональных).  
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'''Unitary-triangular factorizations''' are various decompositions of a matrix A into a product of a triangular matrix and a unitary one (or an orthogonal matrix, for a real A).  
  
Наиболее разработано из них нахождение [[QR-разложения плотных неособенных матриц|QR-разложения]]. Остальные же варианты задачи (LQ, QL и т.п.) сводимы к нему.
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Of all these factorizations, the [[QR-разложения плотных неособенных матриц|QR decomposition]] is the most known one. Other variants (such as the LQ decomposition, QL decomposition, etc.) can be reduced to the QR decomposition.
  
 
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Revision as of 07:35, 6 March 2018


Unitary-triangular factorizations are various decompositions of a matrix A into a product of a triangular matrix and a unitary one (or an orthogonal matrix, for a real A).

Of all these factorizations, the QR decomposition is the most known one. Other variants (such as the LQ decomposition, QL decomposition, etc.) can be reduced to the QR decomposition.