On nonlinear SOR-like methods. II: Convergence of the SOR-Newton method for mildly nonlinear equations

DOI10.1007/BF03167313zbMath0881.65041OpenAlexW2064522561MaRDI QIDQ1365320

Kazuo Ishihara, Yoshiaki Muroya, Tetsuro Yamamoto

Publication date: 7 December 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167313

zbMATH Keywords

systemsiterative methodssemilinear elliptic equationlocal systemsnonlinear Gauss-Seidel methodSOR-Newton methodnonlinear SOR-like methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

On convergence of SOR methods for nonsmooth equations ⋮ SOR-like new iterative method for solving the epidemic model and the prey and predator problem ⋮ Adaptive improved block SOR method with orderings ⋮ On nonlinear SOR-like methods. III: Global convergence of SOR, SSOR and USSOR methods for convex problems ⋮ A practical choice of parameters in improved SOR-Newton method with orderings

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