56 citations · 82 across the 13 of their papers we have counts for
6 papers · 1 filter
A Study on Nonnegative Tubal Matrices
Yuning Yang, Junwei Zhang
Tubal scalars are usual vectors, and tubal matrices are matrices with every element being a tubal scalar. Such a matrix is often recognized as a third-order tensor. The product bet…
On the Largest Singular Value/Eigenvalue of a Random Tensor
Yuning Yang
This short note presents upper bounds of the expectations of the largest singular values/eigenvalues of various types of random tensors in the non-asymptotic sense. For a standard…
On some properties of nonnegative weakly irreducible tensors
Yuning Yang, Qingzhi Yang
In this paper, we mainly focus on how to generalize some conclusions from nonnegative irreducible tensors to nonnegative weakly irreducible tensors. To do so, a basic and important…
Further Results for Perron-Frobenius Theorem for Nonnegative Tensors II
Yuning Yang, Qingzhi Yang
In this paper, we generalize some conclusions from the nonnegative irreducible tensor to the nonnegative weakly irreducible tensor and give more properties of eigenvalue problems.
An algorithm to find the spectral radius of nonnegative tensors and its convergence analysis
Yuning Yang, Qingzhi Yang, Yanguang Li
In this paper we propose an iterative algorithm to find out the spectral radius of nonnegative tensors. This algorithm is an extension of the smoothing method for finding the large…
A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensors
Yuning Yang, Qingzhi Yang
We prove that the spectral radius of even order nonnegative irreducible tensors is real geometrically simple. In the case when the order of the tensor is odd, or in the complex fie…