@Article{JCM-39-4,
author = {Yaozong, Tang and Yang, Qingzhi and Luo, Gang},
title = {Convergence Analysis on SS-HOPM for BEC-Like Nonlinear Eigenvalue Problems},
journal = {Journal of Computational Mathematics},
year = {2021},
volume = {39},
number = {4},
pages = {621--632},
abstract = {<p style="text-align: justify;">Shifted symmetric higher-order power method (SS-HOPM) has been proved effective
in solving the nonlinear eigenvalue problem oriented from the Bose-Einstein Condensation
(BEC-like NEP for short) both theoretically and numerically. However, the convergence of
the sequence generated by SS-HOPM is based on the assumption that the real eigenpairs
of BEC-like NEP are finite. In this paper, we will establish the point-wise convergence via
 Lojasiewicz inequality by introducing a new related sequence.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2005-m2019-0298},
url = {https://global-sci.com/article/84251/convergence-analysis-on-ss-hopm-for-bec-like-nonlinear-eigenvalue-problems}
}