@Article{JCM-3-3,
author = {},
title = {On the Convergence of Diagonal Elements and Asymptotic Convergence Rates for the Shifted Tridiagonal QL Algorithm},
journal = {Journal of Computational Mathematics},
year = {1985},
volume = {3},
number = {3},
pages = {252--261},
abstract = {<p style="text-align: justify;">The convergence of diagonal elements of an irreducible symmetric triadiagonal matrix under QL algorithm with some kinds of shift is discussed. It is proved that if $\alpha_1-\sigma$→0 and $\beta_j$→0, j=1,2,...,m, then $\alpha_j$→$λ_j$ where $λ_j$ are m eigenvalues of the matrix, and $\sigma$ is the origin shift. The asymptotic convergence rates of three kinds of shift, Rayleigh quotient shift, Wilkinson&#39;s shift and RW shift, are analysed. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1985-JCM-9622},
url = {https://global-sci.com/article/86248/on-the-convergence-of-diagonal-elements-and-asymptotic-convergence-rates-for-the-shifted-tridiagonal-ql-algorithm}
}