4 papers
Regular simplex tensors: optimization landscape, conjecture proof, and beyond
Lei Wang
The concept of tensor eigenpairs has attracted increasing research attention in the past decades. Recent works have focused on a special class termed regular simplex tensors, which…
Robust Eigenvectors of Regular Simplex Tensors: Conjecture Proof
Lei Wang, Xiurui Geng, Lei Zhang
The concept of tensor eigenpairs has received more researches in past decades. Recent works have paid attentions to a special class of symmetric tensors termed regular simplex tens…
Locally Optimal Eigenvectors of Regular Simplex Tensors
Lei Wang
Identifying locally optimal solutions is an important issue given an optimization model. In this paper, we focus on a special class of symmetric tensors termed regular simplex tens…
The Z-eigenpairs of orthogonally diagonalizable symmetric tensors
Lei Wang, Xiurui Geng
In this paper, we focus on a special class of symmetric tensors, which can be orthogonally diagonalizable, and investigate their Z-eigenpairs problem. We show that the eigenpairs c…