Newton-based matrix splitting iteration methods for the weakly nonlinear system
Li, Cui-Xia 1Wu, Shi-Liang1
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作者信息
1. Yunnan Normal Univ
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Abstract
In this paper, combining the Newton method with matrix splitting technique, a class of Newton-based matrix splitting iteration methods is presented to solve the weakly nonlinear system with some special matrices. Theoretical analysis shows that this kind of iteration method for some special matrices is convergent under suitable conditions. Numerical results show that this kind of iteration method is feasible and effective for the weakly nonlinear system. (c) 2022 Elsevier B.V. All rights reserved.
Key words
The weakly nonlinear system/Newton method/Matrix splitting/Convergence/CONVERGENCE
NSTL
Elsevier