Shenglong Hu

activity

20112023

most citedE-Determinants of Tensors

165 citations · 445 across the 26 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.SP2014★ 1 cited

Multiplicities of eigenvalues of tensors

Shenglong Hu, Ke Ye

We study in this article multiplicities of eigenvalues of tensors. There are two natural multiplicities associated to an eigenvalue $λ$ of a tensor: algebraic multiplicity $\operat…

math.NA2014★ 1 cited

Relations of the Nuclear Norms of a Tensor and its Matrix Flattenings

Shenglong Hu

For a $3$ -tensor of dimensions $I_{1} \times I_{2} \times I_{3}$ , we show that the nuclear norm of its every matrix flattening is a lower bound of the tensor nuclear norm, and which in tur…

math.OC2014★ 2 cited

A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure

Shenglong Hu, Guoyin Li, Liqun Qi

Yuan's theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system invol…