BEC类非线性特征值问题的平移对称高阶幂法（英文）

作者：唐耀宗; 杨庆之^*; 黄鹏斐

来源：高等学校计算数学学报, 2020, 42(02): 163-192.

• nonlinear eigenvalues
• Bose-Einstein Condensation
• SS-HOPM
• perturbation analysis nonlinear eigenvalues
• perturbation analysis

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.

• 单位
  南开大学