Dehomogenization for completely positive tensors

J Nie, X Tang, Z Yang, S Zhong - arXiv preprint arXiv:2206.12553, 2022 - arxiv.org
A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers
of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors …

A hierarchy of semidefinite relaxations for completely positive tensor optimization problems

A Zhou, J Fan - Journal of Global Optimization, 2019 - Springer
In this paper, we study the completely positive (CP) tensor program, which is a linear
optimization problem with the cone of CP tensors and some linear constraints. We …

[HTML][HTML] Constrained Low Rank Approximation of the Hermitian Nonnegative-Definite Matrix

H Chang - Advances in Linear Algebra & Matrix Theory, 2020 - scirp.org
In this paper, we consider a constrained low rank approximation problem:, where E is a
given complex matrix, p is a positive integer, and is the set of the Hermitian nonnegative …