A one-parameter family of second-order iteration methods

DOI10.1016/j.amc.2006.07.140zbMath1119.65044OpenAlexW2086295374MaRDI QIDQ884601

Janak Raj Sharma

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.140

zbMATH Keywords

convergencenumerical examplesNewton methodnonlinear equationsroot finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

A one-parameter family of quadratically convergent iteration formulae ⋮ The convergence of the perturbed Newton method and its application for ill-conditioned problems ⋮ Newton-type iterative methods for finding zeros having higher multiplicity

Cites Work

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• On a class of quadratic convergence iteration formulae without derivatives
• A new continuation Newton-like method and its deformation
• On a class of quadratically convergent iteration formulae
• New high-order convergence iteration methods without employing derivatives for solving nonlinear equations