Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods

DOI10.1007/BF02311252zbMath0922.65043OpenAlexW2168907009MaRDI QIDQ1280661

G. Yu. Kulikov

Publication date: 10 October 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02311252

zbMATH Keywords

convergenceNewton's methodasymptotic error estimatesmethod of simple iteration

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Uses Software

• RODAS

Cites Work

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• Convergence theorems for iterative Runge-Kutta methods with a constant integration step
• The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables
• The practical implementation and efficiency of numerical methods for solving Cauchy's problem with an algebraic relation