CONVERGENCE ANALYSIS ON SS-HOPM FOR BEC-LIKE NONLINEAR EIGENVALUE PROBLEMS

• 作者: Yaozong Tang Qingzhi Yang Gang Luo
• 来源期刊: 计算数学（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 621-632
• 页数: 12页
• 语种: 英文
• DOI: 10.4208/jcm.2005-m2019-0298

摘要

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 ?ojasiewicz inequality by introducing a new related sequence.