Newton's Method for M-Tensor Equations
Optimization and Control
2021-01-28 v1
Abstract
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.
Cite
@article{arxiv.2101.11140,
title = {Newton's Method for M-Tensor Equations},
author = {Dong-Hui Li Jie-Feng Xu and Hong-Bo Guan},
journal= {arXiv preprint arXiv:2101.11140},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2007.13324