The rate of multiplicity of the roots of nonlinear equations and its application to iterative methods

DOI10.1016/J.AMC.2015.04.092zbMath1410.65217OpenAlexW323999357MaRDI QIDQ1659668

Vicente F. Candela, Rosa M. Peris

Publication date: 22 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.092

zbMATH Keywords

stabilityiterative methodsnonlinear equationsorder of convergencenonsimple rootsrate of multiplicity

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Iterative methods for ill-conditioned roots ⋮ Two improved classes of Broyden's methods for solving nonlinear systems of equations

Cites Work

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• The convergence of the perturbed Newton method and its application for ill-conditioned problems
• On some modified families of multipoint iterative methods for multiple roots of nonlinear equations
• Fifth-order iterative method for finding multiple roots of nonlinear equations
• Modified Chebyshev-Halley type method and its variants for computing multiple roots
• A new fourth-order iterative method for finding multiple roots of nonlinear equations
• A study of accelerated Newton methods for multiple polynomial roots
• A third-order modification of Newton's method for multiple roots
• Multiple root-finding methods
• A method for computing a root of a single nonlinear equation, including its multiplicity
• Improving the Van de Vel root-finding method
• Some modification of Newton's method by the method of undetermined coefficients
• Convergence of the Newton process to multiple solutions
• A family of Chebyshev-Halley type methods in Banach spaces
• A variant of Newton's method with accelerated third-order convergence

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