An efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equations
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Publication:890170
DOI10.1007/s40010-015-0221-5zbMath1325.65069OpenAlexW1160452921MaRDI QIDQ890170
Anuradha Singh, Jai Prakash Jaiswal
Publication date: 9 November 2015
Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40010-015-0221-5
Numerical computation of solutions to single equations (65H05) Rate of convergence, degree of approximation (41A25)
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Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations ⋮ New higher order iterative method for multiple roots of nonlinear equations ⋮ An optimal order method for multiple roots in case of unknown multiplicity
Cites Work
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- Several new third-order and fourth-order iterative methods for solving nonlinear equations
- On a numerical technique for finding multiple zeros and its dynamic
- Two new classes of optimal Jarratt-type fourth-order methods
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Basins of attraction for several methods to find simple roots of nonlinear equations
- Finding the solution of nonlinear equations by a class of optimal methods
- A class of Steffensen type methods with optimal order of convergence
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- New third and fourth order nonlinear solvers for computing multiple roots
- Novel computational iterative methods with optimal order for nonlinear equations
- Graphic and numerical comparison between iterative methods
- Modified Jarratt method for computing multiple roots
- Newton's method's basins of attraction revisited
- A new fourth-order iterative method for finding multiple roots of nonlinear equations
- New optimal class of higher-order methods for multiple roots, permitting \(f'(x_{n})=0\)
- Several new third-order iterative methods for solving nonlinear equations
- On Newton-type methods with cubic convergence
- An optimized derivative-free form of the Potra-Pták method
- Construction of optimal derivative-free techniques without memory
- On a new method for computing the numerical solution of systems of nonlinear equations
- A new third-order Newton-type iterative method for solving nonlinear equations
- Some iterative methods for solving a system of nonlinear equations
- Optimal equi-scaled families of Jarratt's method
- Optimal Order of One-Point and Multipoint Iteration
- Families of optimal multipoint methods for solving nonlinear equations: A survey
- A variant of Newton's method with accelerated third-order convergence
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