@Article{EAJAM-10-381,
author = {Deng , Ming-Yu and Guo , Xue-Ping},
title = {On HSS-Based Iteration Methods for Two Classes of Tensor Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {2},
pages = {381--398},
abstract = {<p style="text-align: justify;">HSS-based iteration methods for large systems of tensor equations $\mathcal{T}$($x$) = $b$ and $Ax$ = $\mathcal{T}$($x$) + $b$ are considered and conditions of their local convergence are presented. Numerical experiments show that for the equations $\mathcal{T}$($x$) = $b$, the Newton-HSS method outperforms the Newton-GMRES method. For nonlinear convection-diffusion equations the methods based on HSS iterations are generally more efficient and robust than the Newton-GMRES method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.140819.071019},
url = {http://global-sci.org/intro/article_detail/eajam/16132.html}
}