Transformation methods for finding multiple roots of nonlinear equations

DOI10.1016/j.amc.2010.05.094zbMath1205.65177OpenAlexW1989697284MaRDI QIDQ711289

Beong In Yun

Publication date: 25 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.094

zbMATH Keywords

convergencenonlinear equationmultiple rootmultiplicity numerical integration methodSteffen\-sen-type iterative method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (11)

Dynamical behaviors of some iterative methods for multiple roots of nonlinear equations ⋮ On generalized Halley-like methods for solving nonlinear equations ⋮ A third-order iterative algorithm for inversion of cumulative central beta distribution ⋮ A modified Brent's method for finding zeros of functions ⋮ Iterative methods for solving nonlinear equations with finitely many roots in an interval ⋮ Fifth-order iterative method for finding multiple roots of nonlinear equations ⋮ Symbolic computation and computer graphics as tools for developing and studying new root-finding methods ⋮ Fifth-order iterative method for solving multiple roots of the highest multiplicity of nonlinear equation ⋮ On an application of symbolic computation and computer graphics to root-finders: the case of multiple roots of unknown multiplicity ⋮ SOME FAMILIES OF ONE AND TWO-STEP ITERATIVE METHODS FOR APPROXIMATING MULTIPLE ROOTS OF NONLINEAR EQUATIONS ⋮ New families of third-order iterative methods for finding multiple roots

Cites Work

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• A non-iterative method for solving non-linear equations
• A family of multiopoint iterative functions for finding multiple roots of equations
• A secant method for multiple roots
• Quadratically convergent multiple roots finding method without derivatives

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