@Article{EAJAM-11-2,
author = {Min-Hong, Chen and Wu, Qing-Biao and Qin, Gao and Rong-Fei, Lin},
title = {An Efficient Iterative Approach to Large Sparse Nonlinear Systems with Non-Hermitian Jacobian Matrices},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {2},
pages = {349--368},
abstract = {<p style="text-align: justify;">Inner-outer iterative methods for large sparse non-Hermitian nonlinear systems are considered. Using the ideas of modified generalised Hermitian and skew Hermitian methods and double-parameter GHSS method, we develop a double-parameter
modified generalised Hermitian and skew Hermitian method (DMGHSS) for linear non-Hermitian systems. Using this method as the inner iterations and the modified Newton
method as the outer iterations, we introduce modified Newton-DMGHSS methods for
large sparse non-Hermitian nonlinear systems. The convergence of the methods is studied. Numerical results demonstrate the efficacy of the methods.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.260420.171120},
url = {https://global-sci.com/article/82506/an-efficient-iterative-approach-to-large-sparse-nonlinear-systems-with-non-hermitian-jacobian-matrices}
}