A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes
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- Moin-ud-Din Junjua & Fiza Zafar & Nusrat Yasmin, 2019. "Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
- Faisal Ali & Waqas Aslam & Kashif Ali & Muhammad Adnan Anwar & Akbar Nadeem, 2018. "New Family of Iterative Methods for Solving Nonlinear Models," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-12, April.
- F. Soleymani & S. Shateyi & H. Salmani, 2012. "Computing Simple Roots by an Optimal Sixteenth-Order Class," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, November.
- Liu, Dongjie & Liu, Chein-Shan, 2022. "Two-point generalized Hermite interpolation: Double-weight function and functional recursion methods for solving nonlinear equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 317-330.
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Keywords
nonlinear equation; two-dimensional approach; fractional iterative scheme; modified derivative-free Newton method; quadratures; fourth-order optimal iterative scheme; three-point generalized Hermite interpolation; eighth-order optimal iterative scheme;All these keywords.
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