Third order iterative methods free from second derivative for nonlinear systems

DOI10.1016/j.amc.2009.04.046zbMath1190.65084OpenAlexW2036152691MaRDI QIDQ732445

José L. Hueso, Eulalia Martínez, Juan Ramón Torregrosa Sánchez

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.046

zbMATH Keywords

Newton's methodpredictor-corrector methodconvergence order

Mathematics Subject Classification ID

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

Related Items (3)

Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ New iterative technique for solving a system of nonlinear equations ⋮ Efficient method for solving a system of nonlinear equations

Cites Work

• An iterative method with cubic convergence for nonlinear equations
• Second-derivative-free variant of the Chebyshev method for nonlinear equations
• A uniparametric Chebyshev-type method free from second derivatives
• A variant of Newton's method with accelerated third-order convergence
• Chebyshev's approximation algorithms and applications
• Unnamed Item

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