On LPMHSS-based iteration methods for a class of weakly nonlinear systems
Journal Article
·
· Computational and Applied Mathematics
- Anyang Normal University, School of Mathematics and Statistics (China)
In this paper, for a class of the large sparse system of weakly nonlinear equations, combining separable property of the linear and nonlinear terms with the lopsided Hermitian and skew-Hermitian splitting (LHSS) of the coefficient matrix, the Picard-LPMHSS and nonlinear LPMHSS-like iteration methods are presented. Theoretical analysis shows that these methods are locally convergent under suitable conditions. Numerical results show that both Picard-LPMHSS and nonlinear LPMHSS-like iteration methods are feasible and effective for the large-scale system of weakly nonlinear equations.
- OSTI ID:
- 22769351
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 2 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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