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math.OC2023
Finding the spectral radius of a nonnegative irreducible symmetric tensor via DC programming
Xueli Bai, Dong-Hui Li, Lei Wu +1
The Perron-Frobenius theorem says that the spectral radius of an irreducible nonnegative tensor is the unique positive eigenvalue corresponding to a positive eigenvector. With this…
math.OC2020
Unique solvability of weakly homogeneous generalized variational inequalities
Xueli Bai, Zheng-Hai Huang, Mengmeng Zheng
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvabilit…
math.OC2018
A nonnegativity preserving algorithm for multilinear systems with nonsingular M-tensors
Xueli Bai, Hongjin He, Chen Ling +1
This paper addresses multilinear systems of equations which arise in various applications such as data mining and numerical partial differential equations. When the multilinear sys…