165 citations · 1.2k across the 132 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.NA2011★ 107 cited
Finding the Spectral Radius of a Nonnegative Tensor
Shenglong Hu, Zheng-Hai Huang, Liqun Qi
In this paper, we introduce a new class of nonnegative tensors --- strictly nonnegative tensors. A weakly irreducible nonnegative tensor is a strictly nonnegative tensor but not vi…
math.NA2011★ 2 cited
The Dominant Eigenvalue of an Essentially Nonnegative Tensor
Liping Zhang, Liqun Qi, Ziyan Luo
It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries. This convexity is of practical importance in po…
math.NA2011★ 165 cited
E-Determinants of Tensors
Shenglong Hu, Zheng-Hai Huang, Chen Ling +1
We generalize the concept of the symmetric hyperdeterminants for symmetric tensors to the E-determinants for general tensors. We show that the E-determinant inherits many propertie…