Families of third and fourth order methods for multiple roots of nonlinear equations
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Publication:371508
DOI10.1016/j.amc.2012.12.041zbMath1273.65064OpenAlexW2048270647MaRDI QIDQ371508
Xiaojian Zhou, Xin Chen, Yong-Zhong Song
Publication date: 10 October 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.12.041
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Cites Work
- On generalized multipoint root-solvers with memory
- Constructing higher-order methods for obtaining the multiple roots of nonlinear equations
- Construction of optimal order nonlinear solvers using inverse interpolation
- Modified Jarratt method for computing multiple roots
- New third order nonlinear solvers for multiple roots
- New families of nonlinear third-order solvers for finding multiple roots
- Some fourth-order nonlinear solvers with closed formulae for multiple roots
- A family of root finding methods
- An optimal multiple root-finding method of order three
- On Newton-type methods for multiple roots with cubic convergence
- Some fourth-order iterative methods for solving nonlinear equations
- Some fourth-order modifications of Newton's method
- High-order nonlinear solver for multiple roots
- A composite third order Newton-Steffensen method for solving nonlinear equations
- On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
- Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
- A family of multiopoint iterative functions for finding multiple roots of equations
- A higher order method for multiple zeros of nonlinear functions
- Optimal Order of One-Point and Multipoint Iteration
- A Family of Fourth Order Methods for Nonlinear Equations
- Unnamed Item
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