Efficient derivative-free variants of Hansen-Patrick's family with memory for solving nonlinear equations
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Publication:501967
DOI10.1007/s11075-016-0127-6zbMath1357.65058OpenAlexW2322714405MaRDI QIDQ501967
Saurabh Bhatia, Munish Kansal, Vinay Kanwar
Publication date: 10 January 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0127-6
numerical experimentcomputational efficiencyderivative-free methods\(R\)-order of convergencemultipoint iterative methodsmethods with memory
Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)
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Cites Work
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- Solving nonlinear equations by a derivative-free form of the King's family with memory
- On generalized multipoint root-solvers with memory
- Three-point methods with and without memory for solving nonlinear equations
- An optimal Steffensen-type family for solving nonlinear equations
- New modifications of Hansen-Patrick's family with optimal fourth and eighth orders of convergence
- A family of root finding methods
- Geometric constructions of iterative functions to solve nonlinear equations
- A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem
- An optimized derivative-free form of the Potra-Pták method
- Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior
- An efficient two-parametric family with memory for nonlinear equations
- Some variants of Hansen-Patrick method with third and fourth order convergence
- On efficient two-parameter methods for solving nonlinear equations
- Three-step iterative methods with optimal eighth-order convergence
- Some efficient derivative free methods with memory for solving nonlinear equations
- Mathematica®: A Problem-Centered Approach
- The solution of Kepler's equation, I
- Optimal Order of One-Point and Multipoint Iteration
- A family of two-point methods with memory for solving nonlinear equations
- Some efficient fourth order multipoint methods for solving equations
- A Family of Fourth Order Methods for Nonlinear Equations
- A variant of Newton's method with accelerated third-order convergence
- A note on \(Q\)-order of convergence
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