Hernández-Verón, Miguel Ángel; Magreñán, Ángel Alberto; Martínez, Eulalia; Singh, Sukhjit An improvement of derivative-free point-to-point iterative processes with central divided differences. (English) Zbl 07773930 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781-2799 (2023). MSC: 45G10 47H17 65J15 PDFBibTeX XMLCite \textit{M. Á. Hernández-Verón} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781--2799 (2023; Zbl 07773930) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A.; Moysi, A. A significant improvement of a family of secant-type methods. (English) Zbl 1524.65211 J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023; Zbl 1524.65211) Full Text: DOI
Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, Á. Alberto; Martínez, Eulalia; Singh, Sukhjit An improvement of the Kurchatov method by means of a parametric modification. (English) Zbl 1527.65035 Math. Methods Appl. Sci. 45, No. 11, 6844-6860 (2022). MSC: 65H10 65F10 45G10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., Math. Methods Appl. Sci. 45, No. 11, 6844--6860 (2022; Zbl 1527.65035) Full Text: DOI OA License
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. How to increase the accessibility of Newton’s method for operators with center-Lipschitz continuous first derivative. (English) Zbl 1492.65147 Numer. Funct. Anal. Optim. 43, No. 3, 350-363 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Numer. Funct. Anal. Optim. 43, No. 3, 350--363 (2022; Zbl 1492.65147) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. On global convergence for an efficient third-order iterative process. (English) Zbl 1481.65081 J. Comput. Appl. Math. 404, Article ID 113417, 11 p. (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 404, Article ID 113417, 11 p. (2022; Zbl 1481.65081) Full Text: DOI
Argyros, Ioannis Konstantinos; Ezquerro, José Antonio; Hernández-Verón, Miguel Ángel; Kim, Young Ik; Magreñán, Ángel Alberto Extending the choice of starting points for Newton’s method. (English) Zbl 1452.65099 Math. Methods Appl. Sci. 43, No. 14, 8042-8050 (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Math. Methods Appl. Sci. 43, No. 14, 8042--8050 (2020; Zbl 1452.65099) Full Text: DOI
Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel A.; Magreñán, Á. Alberto; Martínez, Eulalia A multistep Steffensen-type method for solving nonlinear systems of equations. (English) Zbl 1448.65050 Math. Methods Appl. Sci. 43, No. 13, 7518-7536 (2020). MSC: 65H10 65D10 PDFBibTeX XMLCite \textit{S. Amat} et al., Math. Methods Appl. Sci. 43, No. 13, 7518--7536 (2020; Zbl 1448.65050) Full Text: DOI
Hernández-Verón, M. A.; Magreñán, Á. A.; Rubio, M. J. Dynamics and local convergence of a family of derivative-free iterative processes. (English) Zbl 1432.65066 J. Comput. Appl. Math. 354, 414-430 (2019). MSC: 65J15 45G10 65R20 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., J. Comput. Appl. Math. 354, 414--430 (2019; Zbl 1432.65066) Full Text: DOI
Argyros, I. K.; Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. Extending the domain of starting points for Newton’s method under conditions on the second derivative. (English) Zbl 1432.65065 J. Comput. Appl. Math. 340, 1-10 (2018). MSC: 65J15 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 340, 1--10 (2018; Zbl 1432.65065) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. Starting points for Newton’s method under a center Lipschitz condition for the second derivative. (English) Zbl 1478.65041 J. Comput. Appl. Math. 330, 721-731 (2018). MSC: 65H10 65J15 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 330, 721--731 (2018; Zbl 1478.65041) Full Text: DOI
Argyros, I. K.; Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. Alberto Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains. (English) Zbl 1387.65050 J. Math. Chem. 55, No. 7, 1392-1406 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 55, No. 7, 1392--1406 (2017; Zbl 1387.65050) Full Text: DOI
Argyros, I. K.; Ezquerro, J. A.; Hernández-Verón, M. A.; Hilout, S.; Magreñán, Á. A. Enlarging the convergence domain of secant-like methods for equations. (English) Zbl 1357.65064 Taiwanese J. Math. 19, No. 2, 629-652 (2015). MSC: 65J15 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Taiwanese J. Math. 19, No. 2, 629--652 (2015; Zbl 1357.65064) Full Text: DOI