Year: 2020
Author: Ming-Yu Deng, Xue-Ping Guo
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 381–398
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.140819.071019
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 381–398
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Tensor equation HSS iteration k-mode product convergence large sparse system.
Author Details
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King-NSS iteration method for solving a class of large sparse nonlinear systems
Zhang, Yuanyuan
Wu, Qingbiao
Dai, Pingfei
Xiao, Yao
Journal of Applied Mathematics and Computing, Vol. 68 (2022), Iss. 5 P.2913
https://doi.org/10.1007/s12190-021-01649-z [Citations: 1]