We will discuss difficulties associated with determining various spectral attributes of a 3-tensor: (ⅰ) Over the rational numbers,deciding eigenvalues or s
The geometric measure of entanglement for a symmetric pure state with nonnegative amplitudes has attracted much attention,and the spectral theory of nonnega
Since the pioneering works of Qi(2005)and Lim (2005),the tensor eigenproblem has become an important part of numerical multilinear algebra.In this talk,we c
A popular approach to solve a large scale optimization problem under independent constraints is to cyclically update a subset of variables by minimizing a l
Both polynomial and tensor optimization problems have been challenging research topics and wide range of applications.We first construct the constant ratio