A family of methods for solving nonlinear equations using quadratic interpolation

DOI10.1016/J.CAMWA.2004.05.004zbMath1067.65051OpenAlexW1989019717MaRDI QIDQ1770644

Janak Raj Sharma

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.05.004

zbMATH Keywords

convergencenumerical examplesNonlinear equationsIteration methodinverse parabolic interpolation methodRoot findingtwo-parameter derivative-free methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Efficient polynomial root-refiners: a survey and new record efficiency estimates ⋮ A family of derivative-free methods for solving nonlinear equations

Cites Work

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• A Method for Solving Algebraic Equations Using an Automatic Computer
• Method of parabolic approximation for solving the equationX=F(X)
• The Use of Rational Functions in the Iterative Solution of Equations on a Digital Computer
• A variant of Newton's method with accelerated third-order convergence

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