Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Sharifi, Somayeh & Salimi, Mehdi & Siegmund, Stefan & Lotfi, Taher, 2016. "A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 119(C), pages 69-90.
- Behl, Ramandeep & Argyros, Ioannis K. & Motsa, S.S., 2016. "A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 175-186.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- 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.
- Syahmi Afandi Sariman & Ishak Hashim & Faieza Samat & Mohammed Alshbool, 2021. "Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations," Mathematics, MDPI, vol. 9(9), pages 1-12, April.
- Chein-Shan Liu & Essam R. El-Zahar & Chih-Wen Chang, 2023. "A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes," Mathematics, MDPI, vol. 11(21), pages 1-21, November.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Ramandeep Behl & Arwa Jeza Alsolami & Bruno Antonio Pansera & Waleed M. Al-Hamdan & Mehdi Salimi & Massimiliano Ferrara, 2019. "A New Optimal Family of Schröder’s Method for Multiple Zeros," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
- Daniele Tommasini & David N. Olivieri, 2020. "Fast Switch and Spline Function Inversion Algorithm with Multistep Optimization and k-Vector Search for Solving Kepler’s Equation in Celestial Mechanics," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
- Vinay Kanwar & Puneet Sharma & Ioannis K. Argyros & Ramandeep Behl & Christopher Argyros & Ali Ahmadian & Mehdi Salimi, 2021. "Geometrically Constructed Family of the Simple Fixed Point Iteration Method," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
- Syahmi Afandi Sariman & Ishak Hashim & Faieza Samat & Mohammed Alshbool, 2021. "Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations," Mathematics, MDPI, vol. 9(9), pages 1-12, April.
- Ramandeep Behl & Munish Kansal & Mehdi Salimi, 2020. "Modified King’s Family for Multiple Zeros of Scalar Nonlinear Functions," Mathematics, MDPI, vol. 8(5), pages 1-17, May.
More about this item
Keywords
nonlinear equations; simple roots; inverse interpolation; optimal iterative methods; higher order of convergence;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:164-:d:205163. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.