A SIMPLE METHOD FOR COMPUTING THE VANDERMONDE DECOMPOSITION OF A HANKEL TENSOR

摘要

This paper aims to compute the exact Vandermonde decomposition of a Hankel tensor. We first reformulate the Hankel tensor decomposition problem as the system of nonlinear equations. Then we design a new direct method to solve the system of nonlinear equations by a series of matrix transformations. Finally, Some numerical examples illustrate that the new method is feasible and effective.