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O que (quem) é QR algorithm - definição
QR algorithm
.gif?width=200 "Figure 1: How the output of a single iteration of the QR or LR algorithm varies alongside its input")
ALGORITHM
QR method; Francis algorithm; Bulge chasing; QR iteration
In numerical linear algebra, the QR algorithm or QR iteration is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors of a matrix. The QR algorithm was developed in the late 1950s by John G.
QR decomposition
MATRIX DECOMPOSITION
QR factorization; QR factorisation; LQ decomposition; RQ decomposition; QL decomposition; QRD; QR Factorization; Qr factorization; QR Decomposition; Qr decomposition; Qr Decomposition
In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, 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.
RRQR factorization
An RRQR factorization or rank-revealing QR factorization is a matrix decomposition algorithm based on the QR factorization which can be used to determine the rank of a matrix. The singular value decomposition can be used to generate an RRQR, but it is not an efficient method to do so.
