Fernández-Díaz, Julio M.; Menéndez-Pérez, César O. A superlinear scaling factor regula falsi root finder that detects the simple or multiple character of the root. (English) Zbl 07764055 Math. Comput. Simul. 215, 1-20 (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{J. M. Fernández-Díaz} and \textit{C. O. Menéndez-Pérez}, Math. Comput. Simul. 215, 1--20 (2024; Zbl 07764055) Full Text: DOI
Fernández-Díaz, Julio M.; Menéndez-Pérez, César O. A common framework for modified regula falsi methods and new methods of this kind. (English) Zbl 07628014 Math. Comput. Simul. 205, 678-696 (2023). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{J. M. Fernández-Díaz} and \textit{C. O. Menéndez-Pérez}, Math. Comput. Simul. 205, 678--696 (2023; Zbl 07628014) Full Text: DOI
Liu, Dongjie; Liu, Chein-Shan Two-point generalized Hermite interpolation: double-weight function and functional recursion methods for solving nonlinear equations. (English) Zbl 07442878 Math. Comput. Simul. 193, 317-330 (2022). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{D. Liu} and \textit{C.-S. Liu}, Math. Comput. Simul. 193, 317--330 (2022; Zbl 07442878) Full Text: DOI
Liu, Chein-Shan; Hong, Hong-Ki; Lee, Tsung-Lin A splitting method to solve a single nonlinear equation with derivative-free iterative schemes. (English) Zbl 07431547 Math. Comput. Simul. 190, 837-847 (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{C.-S. Liu} et al., Math. Comput. Simul. 190, 837--847 (2021; Zbl 07431547) Full Text: DOI
Sharma, Janak Raj; Kumar, Sunil An excellent numerical technique for multiple roots. (English) Zbl 1524.65206 Math. Comput. Simul. 182, 316-324 (2021). MSC: 65H05 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{S. Kumar}, Math. Comput. Simul. 182, 316--324 (2021; Zbl 1524.65206) Full Text: DOI
Campos, B.; Vindel, P. Dynamics of subfamilies of Ostrowski-Chun methods. (English) Zbl 1524.65204 Math. Comput. Simul. 181, 57-81 (2021). MSC: 65H05 PDFBibTeX XMLCite \textit{B. Campos} and \textit{P. Vindel}, Math. Comput. Simul. 181, 57--81 (2021; Zbl 1524.65204) Full Text: DOI
Geum, Young Hee; Kim, Young Ik; Neta, Beny A family of optimal quartic-order multiple-zero finders with a weight function of the principal \(k\)th root of a derivative-to-derivative ratio and their basins of attraction. (English) Zbl 07313804 Math. Comput. Simul. 136, 1-21 (2017). MSC: 65Hxx PDFBibTeX XMLCite \textit{Y. H. Geum} et al., Math. Comput. Simul. 136, 1--21 (2017; Zbl 07313804) Full Text: DOI
Sharifi, Somayeh; Salimi, Mehdi; Siegmund, Stefan; Lotfi, Taher A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations. (English) Zbl 07313592 Math. Comput. Simul. 119, 69-90 (2016). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{S. Sharifi} et al., Math. Comput. Simul. 119, 69--90 (2016; Zbl 07313592) Full Text: DOI arXiv
Cordero, Alicia; Ferrero, Alfredo; Torregrosa, Juan R. Damped Traub’s method: convergence and stability. (English) Zbl 07313591 Math. Comput. Simul. 119, 57-68 (2016). MSC: 37-XX 65-XX PDFBibTeX XMLCite \textit{A. Cordero} et al., Math. Comput. Simul. 119, 57--68 (2016; Zbl 07313591) Full Text: DOI
Magreñán, Ángel Alberto; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R. Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane. (English) Zbl 07312639 Math. Comput. Simul. 105, 49-61 (2014). MSC: 37-XX 65-XX PDFBibTeX XMLCite \textit{Á. A. Magreñán} et al., Math. Comput. Simul. 105, 49--61 (2014; Zbl 07312639) Full Text: DOI Link