BEC类非线性特征值问题的平移对称高阶幂法  

SS-HOPM FOR BEC-LIKE NONLINEAR EIGENVALUE PROBLEMS

作　　者：唐耀宗 杨庆之[1,2] 黄鹏斐 Tang Yaozong;Yang Qingzhi;Huang Pengfei(School of Mathematical Sciences,Nankai University,Tianjin 300071;School of Mathematics and Statistics,Kashi University,Kashi 844000)

机构地区：[1]南开大学数学科学学院,天津300071 [2]喀什大学数学与统计学院,喀什844000

出　　处：《高等学校计算数学学报》2020年第2期163-192,共30页Numerical Mathematics A Journal of Chinese Universities

基　　金：新疆维吾尔自治区自然科学基金面上项目(2018D01A01)资助.

摘　　要：We consider the nonlinear eigenvalue problem(NEP) originated from Bose-Einstein Condensation(BEC)(BEC-like NEP for short).We extend the shifted symmetric higher-order power method(SS-HOPM) proposed by Kolda and Mayo for symmetric tensor eigenvalue to BEC-like NEP.We have shown that given a proper shift term,the Algorithm SS-HOPM is convergent theorically and numerically.We also analyze the influence of data disturbance on eigenvalues theoretically and numerically.

关 键 词：nonlinear eigenvalues Bose-Einstein Condensation SS-HOPM perturbation analysis 

分 类 号：O221.2[理学—运筹学与控制论] O224[理学—数学]