An Efficient Iterative Approach to Large Sparse Nonlinear Systems with Non-Hermitian Jacobian Matrices
Year: 2021
Author: Min-Hong Chen, Qing-Biao Wu, Qin Gao, Rong-Fei Lin
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.260420.171120
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 349–368
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Splitting iteration positive definite Jacobian matrices large sparse nonlinear system modified Newton-DMGHSS method convergence.
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