An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs

Several tensor eigenpair definitions have been put forth in the past decade, but these can all be unified under generalized tensor eigenpair framework, introduced by Chang, Pearson, and Zhang (2009). Given mth-order, n-dimensional real-valued symmetric tensors A and B, the goal is to find $lambda in R$ and $x in R^n$, $x eq 0$, such that $Ax^{m-1} = lambda Bx^{m-1}$. Different choices for B yield differe