20 citations · 24 across the 5 of their papers we have counts for
5 papers
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…
Newton's Method for M-Tensor Equations
Dong-Hui Li Jie-Feng Xu, Hong-Bo Guan
We are concerned with the tensor equations whose coefficient tensor is an M-tensor. We first propose a Newton method for solving the equation with a positive constant term and esta…
Inexact Newton Method for M-Tensor Equations
Dong-Hui Li, Hong-Bo Guan, Jie-Feng Xu
We first investigate properties of M-tensor equations. In particular, we show that if the constant term of the equation is nonnegative, then finding a nonnegative solution of the e…
A Lower Dimensional Linear Equation Approach to The M-Tensor Complementarity Problem
Dong-Hui Li, Cui-Dan Chen, Hong-Bo Guan
We are interested in finding a solution to the tensor complementarity problem with a strong M-tensor, which we call the M-tensor complementarity problem. We propose a lower dimensi…
Finding a Nonnegative Solution to an M-Tensor Equation
Dong-Hui Li, Hong-Bo Guan, Xiao-Zhou Wang
We are concerned with the tensor equation with an M-tensor or Z-tensor, which we call the M- tensor equation or Z-tensor equation respectively. We derive a necessary and sufficient…