An SDP Method for Copositivity of Partially Symmetric Tensors

Abstract EN

In this paper, we consider the problem of detecting the copositivity of partially symmetric rectangular tensors.

We first propose a semidefinite relaxation algorithm for detecting the copositivity of partially symmetric rectangular tensors.

Then, the convergence of the proposed algorithm is given, and it shows that we can always catch the copositivity of given partially symmetric tensors.

Several preliminary numerical results confirm our theoretical findings.