New higher order methods for solving nonlinear equations with multiple roots
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Publication:609249
DOI10.1016/j.cam.2010.07.024zbMath1205.65178OpenAlexW1991750168MaRDI QIDQ609249
Publication date: 30 November 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.024
convergencenumerical examplesnonlinear equationmultiple roothigher order iterative methodsSteffensen's transformation
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Convergence radius of Osada's method under center-Hölder continuous condition ⋮ Dynamical behaviors of some iterative methods for multiple roots of nonlinear equations ⋮ Convergence radius of Halley's method for multiple roots under center-Hölder continuous condition ⋮ Iterative methods for solving nonlinear equations with finitely many roots in an interval
Cites Work
- Eighth-order methods with high efficiency index for solving nonlinear equations
- A derivative free iterative method for finding multiple roots of nonlinear equations
- An improved method for finding multiple roots and it's multiplicity of nonlinear equations in \(\mathbb R\)
- A class of three-point root-solvers of optimal order of convergence
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- An optimal multiple root-finding method of order three
- High-order nonlinear solver for multiple roots
- A non-iterative method for solving non-linear equations
- A family of multiopoint iterative functions for finding multiple roots of equations
