3 papers
math.SP2025
Quasi-Irreducibility of Nonnegative Biquadratic Tensors
Liqun Qi, Chunfeng Cui, Yi Xu
While the adjacency tensor of a bipartite 2-graph is a nonnegative biquadratic tensor, it is inherently reducible. To address this limitation, we introduce the concept of quasi-irr…
math.OC2019
A Note On the Rank of the Optimal Matrix in Symmetric Toeplitz Matrix Completion Problem
Xihong Yan, Jiahao Guo, Yi Xu
We consider the symmetric Toeplitz matrix completion problem, whose matrix under consideration possesses specific row and column structures. This problem, which has wide applicatio…
math.SP2016
A New Class of Positive Semi-definite Tensors
Yi Xu, Jinjie Liu, Liqun Qi
In this paper, a new class of positive semi-definite tensors, the MO tensor, is introduced. It is inspired by the structure of Moler matrix, a class of test matrices. Then we focus…