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
Yadav, Sonia; Singh, Sukhjit; Hernández-Verón, M. A.; Martínez, Eulalia; Kumar, Ajay; Badoni, R. P. About the existence and uniqueness of solutions for some second-order nonlinear BVPs. (English) Zbl 07736233 Appl. Math. Comput. 457, Article ID 128218, 11 p. (2023). MSC: 34B15 65J15 45G10 47H10 PDFBibTeX XMLCite \textit{S. Yadav} et al., Appl. Math. Comput. 457, Article ID 128218, 11 p. (2023; Zbl 07736233) Full Text: DOI
Villalba, Eva G.; Hueso, José L.; Martínez, Eulalia Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device. (English) Zbl 07727810 Int. J. Comput. Math. 100, No. 9, 1839-1859 (2023). MSC: 45G10 47H17 65J15 PDFBibTeX XMLCite \textit{E. G. Villalba} et al., Int. J. Comput. Math. 100, No. 9, 1839--1859 (2023; Zbl 07727810) Full Text: DOI
Hernández-Verón, M. A.; Yadav, Nisha; Martínez, Eulalia; Singh, Sukhjit Kurchatov-type methods for non-differentiable Hammerstein-type integral equations. (English) Zbl 07676513 Numer. Algorithms 93, No. 1, 131-155 (2023). MSC: 65-XX 45G10 47H99 65J15 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., Numer. Algorithms 93, No. 1, 131--155 (2023; Zbl 07676513) Full Text: DOI
Behl, Ramandeep; Argyros, Ioannis K.; Martínez, Eulalia; Joshi, Janak Extended convergence for a fifth-order novel scheme free from derivatives. (English) Zbl 1527.65038 Math. Methods Appl. Sci. 45, No. 6, 3295-3304 (2022). MSC: 65J15 47J05 PDFBibTeX XMLCite \textit{R. Behl} et al., Math. Methods Appl. Sci. 45, No. 6, 3295--3304 (2022; Zbl 1527.65038) 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
Hernández-Verón, M. A.; Martínez, Eulalia Iterative schemes for solving the Chandrasekhar \(H\)-equation using the Bernstein polynomials. (English) Zbl 1481.65268 J. Comput. Appl. Math. 404, Article ID 113391, 12 p. (2022). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} and \textit{E. Martínez}, J. Comput. Appl. Math. 404, Article ID 113391, 12 p. (2022; Zbl 1481.65268) Full Text: DOI
Hernández-Verón, M. A.; Martínez, Eulalia; Singh, Sukhjit A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel. (English) Zbl 1480.65376 J. Comput. Appl. Math. 404, Article ID 113115, 13 p. (2022). MSC: 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., J. Comput. Appl. Math. 404, Article ID 113115, 13 p. (2022; Zbl 1480.65376) Full Text: DOI
Gupta, Dharmendra Kumar; Martínez, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative. (English) Zbl 1525.65046 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3-4, 267-285 (2021). MSC: 65J15 47H99 47J05 PDFBibTeX XMLCite \textit{D. K. Gupta} et al., Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3--4, 267--285 (2021; Zbl 1525.65046) Full Text: DOI
Kumar, Abhimanyua; Gupta, D. K.; Martínez, Eulalia; Hueso, José L. Convergence and dynamics of improved Chebyshev-secant-type methods for non differentiable operators. (English) Zbl 1489.65076 Numer. Algorithms 86, No. 3, 1051-1070 (2021). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{A. Kumar} et al., Numer. Algorithms 86, No. 3, 1051--1070 (2021; Zbl 1489.65076) Full Text: DOI
Alarcón, Diego; Hueso, Jose L.; Martínez, Eulalia An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown. (English) Zbl 1512.65083 Int. J. Comput. Math. 97, No. 1-2, 312-329 (2020). MSC: 65H05 PDFBibTeX XMLCite \textit{D. Alarcón} et al., Int. J. Comput. Math. 97, No. 1--2, 312--329 (2020; Zbl 1512.65083) Full Text: DOI Link
Singh, Sukjith; Martínez, Eulalia; Maroju, P.; Behl, Ramandeep A study of the local convergence of a fifth order iterative method. (English) Zbl 1443.65079 Indian J. Pure Appl. Math. 51, No. 2, 439-455 (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{S. Singh} et al., Indian J. Pure Appl. Math. 51, No. 2, 439--455 (2020; Zbl 1443.65079) Full Text: DOI Link
Hernández-Verón, M. A.; Ibáñez, María; Martínez, Eulalia; Singh, Sukhjit Localization and separation of solutions for Fredholm integral equations. (English) Zbl 07184973 J. Math. Anal. Appl. 487, No. 2, Article ID 124008, 16 p. (2020). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124008, 16 p. (2020; Zbl 07184973) Full Text: DOI
Behl, Ramandeep; Martínez, Eulalia A new high-order and efficient family of iterative techniques for nonlinear models. (English) Zbl 1435.65077 Complexity 2020, Article ID 1706841, 11 p. (2020). MSC: 65H10 PDFBibTeX XMLCite \textit{R. Behl} and \textit{E. Martínez}, Complexity 2020, Article ID 1706841, 11 p. (2020; Zbl 1435.65077) Full Text: DOI
Behl, Ramandeep; Martínez, Eulalia; Cevallos, Fabricio; Alshomrani, Ali S. Local convergence balls for nonlinear problems with multiplicity and their extension to eighth-order convergence. (English) Zbl 1435.65073 Math. Probl. Eng. 2019, Article ID 1427809, 17 p. (2019). MSC: 65H05 65H10 65H04 PDFBibTeX XMLCite \textit{R. Behl} et al., Math. Probl. Eng. 2019, Article ID 1427809, 17 p. (2019; Zbl 1435.65073) Full Text: DOI
Gupta, Dharmendra Kumar; Martínez, Eulalia; Kumar, Abhimanyu; Hueso, José L. Local convergence and dynamics of a family of iterative methods for multiple roots of nonlinear equations. (English) Zbl 1422.65075 Vietnam J. Math. 47, No. 2, 367-386 (2019). MSC: 65H05 65H10 PDFBibTeX XMLCite \textit{D. K. Gupta} et al., Vietnam J. Math. 47, No. 2, 367--386 (2019; Zbl 1422.65075) Full Text: DOI
Hueso, José L.; Martínez, Eulalia; Gupta, D. K.; Cevallos, Fabricio A note on “Convergence radius of Osada’s method under Hölder continuous condition”. (English) Zbl 1426.65066 Appl. Math. Comput. 321, 689-699 (2018). MSC: 65H05 65J15 41A58 37F10 37F50 PDFBibTeX XMLCite \textit{J. L. Hueso} et al., Appl. Math. Comput. 321, 689--699 (2018; Zbl 1426.65066) Full Text: DOI Link
Singh, Sukhjit; Gupta, Dharmendra Kumar; Singh, Randhir; Singh, Mehakpreet; Martinez, Eulalia Convergence of an iteration of fifth-order using weaker conditions on first order Fréchet derivative in Banach spaces. (English) Zbl 1404.65050 Int. J. Comput. Methods 15, No. 6, Article ID 1850048, 18 p. (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Singh} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850048, 18 p. (2018; Zbl 1404.65050) Full Text: DOI
Kumar, Abhimanyu; Gupta, Dharmendra K.; Martínez, Eulalia; Singh, Sukhjit Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces. (English) Zbl 1390.47021 Complexity 2018, Article ID 7352780, 11 p. (2018). MSC: 47J25 65J15 65R20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Complexity 2018, Article ID 7352780, 11 p. (2018; Zbl 1390.47021) Full Text: DOI
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. On the local convergence study for an efficient \(k\)-step iterative method. (English) Zbl 1503.65115 J. Comput. Appl. Math. 343, 753-761 (2018). MSC: 65J15 47H20 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Appl. Math. 343, 753--761 (2018; Zbl 1503.65115) Full Text: DOI Link
Kumar, Abhimanyu; Gupta, D. K.; Martinez, Eulalia; Singh, Sukhjit Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis. (English) Zbl 1446.65025 Mediterr. J. Math. 15, No. 2, Paper No. 34, 25 p. (2018). MSC: 65H05 65H10 65R20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Mediterr. J. Math. 15, No. 2, Paper No. 34, 25 p. (2018; Zbl 1446.65025) Full Text: DOI
Kumar, Abhimanyu; Gupta, D. K.; Martínez, Eulalia; Singh, Sukhjit Semilocal convergence of a secant-type method under weak Lipschitz conditions in Banach spaces. (English) Zbl 1478.65051 J. Comput. Appl. Math. 330, 732-741 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{A. Kumar} et al., J. Comput. Appl. Math. 330, 732--741 (2018; Zbl 1478.65051) Full Text: DOI Link
Hernández-Verón, M. A.; Martínez, Eulalia Improving the accessibility of Steffensen’s method by decomposition of operators. (English) Zbl 1503.65116 J. Comput. Appl. Math. 330, 536-552 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} and \textit{E. Martínez}, J. Comput. Appl. Math. 330, 536--552 (2018; Zbl 1503.65116) Full Text: DOI Link
Hernández-Verón, M. A.; Martínez, Eulalia; Teruel, Carles Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems. (English) Zbl 06808517 Numer. Algorithms 76, No. 2, 309-331 (2017). MSC: 47H99 65H10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., Numer. Algorithms 76, No. 2, 309--331 (2017; Zbl 06808517) Full Text: DOI Link
Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez, E.; Hueso, José L. Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces. (English) Zbl 1387.47033 Calcolo 54, No. 2, 527-539 (2017). Reviewer: Xiaolong Qin (Chengdu) MSC: 47J25 65J15 47N20 PDFBibTeX XMLCite \textit{S. Singh} et al., Calcolo 54, No. 2, 527--539 (2017; Zbl 1387.47033) Full Text: DOI Link
Martínez, Eulalia; Singh, Sukhjit; Hueso, José L.; Gupta, Dharmendra K. Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces. (English) Zbl 1410.65223 Appl. Math. Comput. 281, 252-265 (2016). MSC: 65J15 45G10 PDFBibTeX XMLCite \textit{E. Martínez} et al., Appl. Math. Comput. 281, 252--265 (2016; Zbl 1410.65223) Full Text: DOI Link
Singh, Sukhjit; Gupta, Dharmendra Kumar; Martínez, E.; Hueso, José L. Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition. (English) Zbl 1410.65225 Appl. Math. Comput. 276, 266-277 (2016). MSC: 65J15 45G10 PDFBibTeX XMLCite \textit{S. Singh} et al., Appl. Math. Comput. 276, 266--277 (2016; Zbl 1410.65225) Full Text: DOI Link
Singh, Sukhjit; Gupta, D. K.; Martínez, E.; Hueso, José L. Semilocal convergence analysis of an iteration of order five using recurrence relations in Banach spaces. (English) Zbl 1354.65109 Mediterr. J. Math. 13, No. 6, 4219-4235 (2016). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{S. Singh} et al., Mediterr. J. Math. 13, No. 6, 4219--4235 (2016; Zbl 1354.65109) Full Text: DOI Link
Martínez, Eulalia; Singh, Sukhjit; Hueso, José L.; Gupta, Dharmendra K. Local convergence of a family of iterative methods for Hammerstein equations. (English) Zbl 1448.47066 J. Math. Chem. 54, No. 7, 1370-1386 (2016). Reviewer: Jürgen Appell (Würzburg) MSC: 47J25 45G10 30D05 PDFBibTeX XMLCite \textit{E. Martínez} et al., J. Math. Chem. 54, No. 7, 1370--1386 (2016; Zbl 1448.47066) Full Text: DOI Link
Hernández-Verón, M. A.; Martínez, Eulalia On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions. (English) Zbl 1325.47119 Numer. Algorithms 70, No. 2, 377-392 (2015). MSC: 47J25 47H99 65H10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} and \textit{E. Martínez}, Numer. Algorithms 70, No. 2, 377--392 (2015; Zbl 1325.47119) Full Text: DOI Link
Hueso, José L.; Martínez, Eulalia Semilocal convergence of a family of iterative methods in Banach spaces. (English) Zbl 1307.65080 Numer. Algorithms 67, No. 2, 365-384 (2014). Reviewer: Zhihua Zhang (Beijing) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. L. Hueso} and \textit{E. Martínez}, Numer. Algorithms 67, No. 2, 365--384 (2014; Zbl 1307.65080) Full Text: DOI Link