A new iterative method for finding the multiple roots of nonlinear equations

DOI10.1007/s13370-019-00681-4zbMath1449.65103OpenAlexW2921512685MaRDI QIDQ2322287

Reza Dehghan

Publication date: 4 September 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-019-00681-4

zbMATH Keywords

Newton's methoditerative methodnonlinear equationmultiple roots

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

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• Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
• Some new iterative methods for nonlinear equations
• Fifth-order iterative method for finding multiple roots of nonlinear equations
• Modified Jarratt method for computing multiple roots
• Some fourth-order nonlinear solvers with closed formulae for multiple roots
• Some new variants of Newton's method.
• A variant of Newton's method based on Simpson's three-eighths rule for nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• A family of multiopoint iterative functions for finding multiple roots of equations
• Some Fourth Order Multipoint Iterative Methods for Solving Equations
• A Family of Fourth Order Methods for Nonlinear Equations

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