Newton waveform relaxation method for solving algebraic nonlinear equations

DOI10.1016/j.amc.2007.12.044zbMath1151.65046OpenAlexW1980107663MaRDI QIDQ945285

Yong Liu, Shu-Lin Wu, Cheng-Ming Huang

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.044

zbMATH Keywords

global convergenceNewton's methodparallel computationwaveform relaxationnonlinear algebraic systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Parallel numerical computation (65Y05)

Related Items

Split Newton iterative algorithm and its application, Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential, Two-step relaxation Newton algorithm for solving nonlinear algebraic equations, Some notes on split Newton iterative algorithm, Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory

Uses Software

• NewtonLib

Cites Work

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• Newton's method and its use in optimization
• Remarks on Picard-Lindelöf iteration. II
• Linear acceleration of Picard-Lindelöf iteration
• Sets of convergence and stability regions
• Dynamic iteration methods applied to linear DAE systems
• Remarks on Picard-Lindelöf iteration
• On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations