@Article{JCM-15-138,
author = {D. L. Hu and D. Y. Cai},
title = {RQI Dynamics for Non-Normal Matrices with Real Eigenvalues},
journal = {Journal of Computational Mathematics},
year = {1997},
volume = {15},
number = {2},
pages = {138--148},
abstract = {<p style="text-align: justify;">RQI is an approach for eigenvectors of matrices. In 1974, B.N Parlett proved that it was a &quot;successful algorithm&quot; with cubic convergent speed for normal matrices. After then, several authors developed relevant theory and put this research into dynamical frame. [3] indicated that RQI failed for non-normal matrices with complex eigenvalues. <br/>In this paper, RQI for non-normal matrices with only real spectrum is analyzed. The authers proved that eigenvectors are super-attractive fixed points of RQI. The geometrical and topological behaviours of two periodic orbits are considered in detail. <br/>The existence of three or higher periodic orbits and their geometry are considered in detail. <br/>The existence of three or higher periodic orbits and their geometry are still open and of interest. It will be reported in our forthcoming paper. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9195.html}
}