3 papers
math.AG2022
Separable symmetric tensors and separable anti-symmetric tensors
Changqing Xu
In this paper, we first introduce the invertibility of even-order tensors and the separable tensors, including separable symmetry tensors and separable anti-symmetry tensors, defin…
math.PR2020
High order tensor moments of random vectors
Yan Feng, Shan Song, Changqing Xu
A random vector $\bx\in \R^n$ is a vector whose coordinates are all random variables. A random vector is called a Gaussian vector if it follows Gaussian distribution. These termino…
math.CO2018
Commutation matrices and Commutation tensors
Changqing Xu
The commutation matrix was first introduced in statistics as a transposition matrix by Murnaghan in 1938. In this paper, we first investigate the commutation matrix which is employ…