TY - JOUR
T1 - An Efficient Iterative Approach to Large Sparse Nonlinear Systems with Non-Hermitian Jacobian Matrices
AU - Chen , Min-Hong
AU - Wu , Qing-Biao
AU - Gao , Qin
AU - Lin , Rong-Fei
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 349
EP - 368
PY - 2021
DA - 2021/02
SN - 11
DO - http://doi.org/10.4208/eajam.260420.171120
UR - https://global-sci.org/intro/article_detail/eajam/18638.html
KW - Splitting iteration, positive definite Jacobian matrices, large sparse nonlinear system,
modified Newton-DMGHSS method, convergence.
AB - <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>