Year: 2021
Author: Yaozong Tang, Qingzhi Yang, Gang Luo
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 4 : pp. 621–632
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2005-m2019-0298
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 4 : pp. 621–632
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: nonlinear eigenvalues Bose-Einstein Condensation SS-HOPM point-wise convergence Lojasiewicz inequality.