QR algorithm
= QR algorithm
{wiki=QR_algorithm}
The QR algorithm is a numerical procedure used to find the eigenvalues and eigenvectors of a matrix. It is based on the QR decomposition of a matrix, which factors a matrix \\( A \\) into a product of an orthogonal matrix \\( Q \\) and an upper triangular matrix \\( R \\). The algorithm is particularly effective for real and complex matrices and is widely used in computational linear algebra.