New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations

DOI10.1134/S0965542515120040zbMath1336.65088OpenAlexW2194712885MaRDI QIDQ266083

Alicia Cordero, Dzmitry A. Budzko, Juan Ramón Torregrosa Sánchez

Publication date: 13 April 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515120040

zbMATH Keywords

stabilityconvergencethree-body problemnumerical examplesfour-body problemsystemnonlinear equationsnumerical resultErmakov-Kalitkin schemeLagrange's triangular solutionstwo-step iterative scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Three-body problems (70F07) Numerical computation of solutions to single equations (65H05) (n)-body problems (70F10)

Related Items (4)

Some modifications of Newton's method for solving systems of equations ⋮ Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations ⋮ Multi-step preconditioned Newton methods for solving systems of nonlinear equations ⋮ Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs

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