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Wikipedia definition
1. QR decompositionIn linear algebra, a QR decomposition (also called a QR factorization) of a matrix is a decomposition of a matrix A into a product A=QR of an orthogonal matrix Q and an upper triangular matrix R. QR decomposition is often used to solve the linear least squares problem, and is the basis for a particular eigenvalue algorithm, the QR algorithm. If A has linearly independent columns (say n columns), then the first n columns of Q form an orthonormal basis for the column space of A.
Read “QR decomposition” on English Wikipedia
Read “QR分解” on Japanese Wikipedia
Read “QR decomposition” on DBpedia

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