@Article{EAJAM-11-349, author = {Chen , Min-HongWu , Qing-BiaoGao , Qin and Lin , Rong-Fei}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.260420.171120}, url = {http://global-sci.org/intro/article_detail/eajam/18638.html} }