2021/01/27 by Dong-Hui Li Jie-Feng Xu, Xu, Dong-Hui Li Jie-Feng, Hong-Bo Guan +1
Mathematics · #65H10 #65K10 #90C33 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:65H10 #msc:65K10 #msc:90C33
paper · pdf · doi:10.48550/arxiv.2101.11140
arXiv admin note: text overlap with arXiv:2007.13324
arxiv created 2021/01/27 · arxiv updated 2021/01/28
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 establish its global and quadratic convergence. Then we extend the method to solve the equation with a nonnegative constant term and establish its convergence. At last, we do numerical experiments to test the proposed methods. The results show that the proposed method is quite efficient.