A family of iterative methods with higher-order convergence

DOI10.1016/J.AMC.2006.04.008zbMath1111.65051OpenAlexW2086537615MaRDI QIDQ861130

Peng Wu, Danfu Han

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.008

zbMATH Keywords

convergenceFréchet differentiable operatoriterative methodBanach spacenonlinear operator equationalgebraic precisionNewton-Cotes quadrature formula

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs ⋮ On new third-order convergent iterative formulas

Cites Work

• Some variant of Newton's method with third-order convergence.
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• Unnamed Item

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