Third and fourth order iterative methods free from second derivative for nonlinear systems

DOI10.1016/j.amc.2009.01.039zbMath1400.65027OpenAlexW2093053557MaRDI QIDQ1021506

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

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.039

zbMATH Keywords

Newton's methodpredictor-corrector methodconvergence order

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Modified Halley's method free from second derivative
• An iterative method with cubic convergence for nonlinear equations
• Modified Chebyshev's method free from second derivative for non-linear equations
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• A variant of Newton's method with accelerated third-order convergence

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