@Article{JCM-30-139,
author = {Bo Yu, Donghui Li and Ning Dong},
title = {Convergence of the Cyclic Reduction Algorithm for a Class of Weakly Overdamped Quadratics},
journal = {Journal of Computational Mathematics},
year = {2012},
volume = {30},
number = {2},
pages = {139--156},
abstract = {<p style="text-align: justify;">In this paper, we establish a convergence result of the cyclic reduction (CR) algorithm for a class of weakly overdamped quadratic matrix polynomials without assumption that the partial multiplicities of the $n$th largest eigenvalue are all equal to 2. Our result can be regarded as a complement of that by Guo, Higham and Tisseur [SIAM J. Matrix Anal. Appl., 30 (2009), pp. 1593-1613]. The numerical example indicates that the convergence behavior of the CR algorithm is largely dictated by our theory.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1110-m3395},
url = {http://global-sci.org/intro/article_detail/jcm/8422.html}
}