Busquier, Sonia; Gutiérrez, José M.; Ramos, Higinio Third order root-finding methods based on a generalization of Gander’s result. (English) Zbl 07823418 Malays. J. Math. Sci. 16, No. 4, 659-671 (2022). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{S. Busquier} et al., Malays. J. Math. Sci. 16, No. 4, 659--671 (2022; Zbl 07823418) Full Text: DOI
Gutiérrez, José M.; Varona, Juan L. Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev’s method on cubic polynomials. (English) Zbl 1440.37053 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020). MSC: 37F10 37F46 65H05 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{J. L. Varona}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020; Zbl 1440.37053) Full Text: DOI
García-Olivo, M.; Gutiérrez, José M.; Magreñán, Á. A. A first overview on the real dynamics of Chebyshev’s method. (English) Zbl 1357.65054 J. Comput. Appl. Math. 318, 422-432 (2017). MSC: 65H04 PDFBibTeX XMLCite \textit{M. García-Olivo} et al., J. Comput. Appl. Math. 318, 422--432 (2017; Zbl 1357.65054) Full Text: DOI
Gutiérrez, José M. Numerical properties of different root-finding algorithms obtained for approximating continuous Newton’s method. (English) Zbl 1461.65076 Algorithms (Basel) 8, No. 4, 1210-1218 (2015). MSC: 65H05 PDFBibTeX XMLCite \textit{J. M. Gutiérrez}, Algorithms (Basel) 8, No. 4, 1210--1218 (2015; Zbl 1461.65076) Full Text: DOI
García-Olivo, Martín; Gutiérrez, José M.; Alberto Magreñán, Á. A complex dynamical approach of Chebyshev’s method. (English) Zbl 1327.65096 S\(\vec{\text{e}}\)MA J. 71, No. 1, 57-68 (2015). MSC: 65H05 65H04 65E05 30C15 PDFBibTeX XMLCite \textit{M. García-Olivo} et al., S\(\vec{\text{e}}\)MA J. 71, No. 1, 57--68 (2015; Zbl 1327.65096) Full Text: DOI
García Olivo, Martín; Gutiérrez, José M. Historical notes on the Chebyshev method for solving nonlinear equations. (Spanish) Zbl 1439.65002 Misc. Mat. 57, 63-83 (2013). MSC: 65-03 65H05 01A50 01A55 PDFBibTeX XMLCite \textit{M. García Olivo} and \textit{J. M. Gutiérrez}, Misc. Mat. 57, 63--83 (2013; Zbl 1439.65002) Full Text: Link
Diloné, Manuel A.; García-Olivo, Martín; Gutiérrez, José M. A note on the semilocal convergence of Chebyshev’s method. (English) Zbl 1279.65064 Bull. Aust. Math. Soc. 88, No. 1, 98-105 (2013). Reviewer: Werner H. Schmidt (Greifswald) MSC: 65J15 47H10 PDFBibTeX XMLCite \textit{M. A. Diloné} et al., Bull. Aust. Math. Soc. 88, No. 1, 98--105 (2013; Zbl 1279.65064) Full Text: DOI
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S. Chebyshev-secant-type methods for non-differentiable operators. (English) Zbl 1282.47073 Milan J. Math. 81, No. 1, 25-35 (2013). Reviewer: Ştefan M. Şoltuz (Westmount) MSC: 47J25 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Milan J. Math. 81, No. 1, 25--35 (2013; Zbl 1282.47073) Full Text: DOI
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S. On the semilocal convergence of efficient Chebyshev-secant-type methods. (English) Zbl 1215.65102 J. Comput. Appl. Math. 235, No. 10, 3195-3206 (2011). Reviewer: János Karátson (Budapest) MSC: 65J15 49M15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 235, No. 10, 3195--3206 (2011; Zbl 1215.65102) Full Text: DOI
Amat, S.; Busquier, S.; Gutiérrez, J. M. Third-order iterative methods with applications to Hammerstein equations: a unified approach. (English) Zbl 1216.65064 J. Comput. Appl. Math. 235, No. 9, 2936-2943 (2011). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 47J25 65R20 45G10 47H30 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Appl. Math. 235, No. 9, 2936--2943 (2011; Zbl 1216.65064) Full Text: DOI
Grau-Sánchez, Miquel; Gutiérrez, José M. Some variants of the Chebyshev-Halley family of methods with fifth order of convergence. (English) Zbl 1193.65060 Int. J. Comput. Math. 87, No. 4, 818-833 (2010). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65H05 65Y20 PDFBibTeX XMLCite \textit{M. Grau-Sánchez} and \textit{J. M. Gutiérrez}, Int. J. Comput. Math. 87, No. 4, 818--833 (2010; Zbl 1193.65060) Full Text: DOI
Gutiérrez, J. M.; Hernández, M. A.; Romero, N. Dynamics of a new family of iterative processes for quadratic polynomials. (English) Zbl 1201.65071 J. Comput. Appl. Math. 233, No. 10, 2688-2695 (2010). Reviewer: Zhen Mei (Toronto) MSC: 65H04 30C15 65E05 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} et al., J. Comput. Appl. Math. 233, No. 10, 2688--2695 (2010; Zbl 1201.65071) Full Text: DOI
Grau-Sánchez, Miquel; Gutiérrez, José M. Zero-finder methods derived from Obreshkov’s techniques. (English) Zbl 1187.65051 Appl. Math. Comput. 215, No. 8, 2992-3001 (2009). Reviewer: K. N. Shukla (Gurgaon) MSC: 65H05 PDFBibTeX XMLCite \textit{M. Grau-Sánchez} and \textit{J. M. Gutiérrez}, Appl. Math. Comput. 215, No. 8, 2992--3001 (2009; Zbl 1187.65051) Full Text: DOI
Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A. On the global convergence of Chebyshev’s iterative method. (English) Zbl 1149.65035 J. Comput. Appl. Math. 220, No. 1-2, 17-21 (2008). MSC: 65H05 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Appl. Math. 220, No. 1--2, 17--21 (2008; Zbl 1149.65035) Full Text: DOI
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Salanova, M. A. Chebyshev-like methods and quadratic equations. (English) Zbl 1074.47516 Rev. Anal. Numér. Théor. Approx. 28, No. 1, 23-35 (1999). MSC: 47J25 65J15 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Rev. Anal. Numér. Théor. Approx. 28, No. 1, 23--35 (1999; Zbl 1074.47516)
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Salanova, M. A. Iterative processes of Chebyshev type. (Spanish) Zbl 1013.47030 Madaune-Tort, Monique (ed.) et al., Proceedings of the 5th Zaragoza-Pau conference on applied mathematics and statistics, Jaca, Spain, September 15-16, 1997. Zaragoza: Universidad de Zaragoza. Publ. Semin. Mat. García de Galdeano, Serie II. 20, 263-270 (1999). MSC: 47J25 65J15 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., in: Actas de las V jornadas Zaragoza-Pau de matemática aplicada y estadísta. Zaragoza: Universidad de Zaragoza. 263--270 (1999; Zbl 1013.47030)
Gutiérrez, J. M.; Hernández, M. A. Recurrence relations for the super-Halley method. (English) Zbl 0933.65063 Comput. Math. Appl. 36, No. 7, 1-8 (1998). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{M. A. Hernández}, Comput. Math. Appl. 36, No. 7, 1--8 (1998; Zbl 0933.65063) Full Text: DOI
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A. A construction procedure of iterative methods with cubical convergence. II: Another convergence approach. (English) Zbl 0944.65058 Appl. Math. Comput. 92, No. 1, 59-68 (1998). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Appl. Math. Comput. 92, No. 1, 59--68 (1998; Zbl 0944.65058) Full Text: DOI
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A. Solving a nonlinear equation by a uniparametric family of iterative processes. (English) Zbl 0908.65030 Int. J. Comput. Math. 68, No. 3-4, 301-308 (1998). Reviewer: A.Swift (Palmerston North) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Int. J. Comput. Math. 68, No. 3--4, 301--308 (1998; Zbl 0908.65030) Full Text: DOI
Gutiérrez, J. M.; Hernández, M. A. New recurrence relations for Chebyshev method. (English) Zbl 0883.65050 Appl. Math. Lett. 10, No. 2, 63-65 (1997). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{M. A. Hernández}, Appl. Math. Lett. 10, No. 2, 63--65 (1997; Zbl 0883.65050) Full Text: DOI
Gutiérrez, José M.; Hernández, Miguel A. Third-order iterative methods for operators with bounded second derivative. (English) Zbl 0891.65064 J. Comput. Appl. Math. 82, No. 1-2, 171-183 (1997). Reviewer: B.Döring (Düsseldorf) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{M. A. Hernández}, J. Comput. Appl. Math. 82, No. 1--2, 171--183 (1997; Zbl 0891.65064) Full Text: DOI
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A. A construction procedure of iterative methods with cubical convergence. (English) Zbl 0879.65035 Appl. Math. Comput. 85, No. 2-3, 181-199 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Appl. Math. Comput. 85, No. 2--3, 181--199 (1997; Zbl 0879.65035) Full Text: DOI
Gutiérrez, J. M.; Hernández, M. A. A family of Chebyshev-Halley type methods in Banach spaces. (English) Zbl 0893.47043 Bull. Aust. Math. Soc. 55, No. 1, 113-130 (1997). MSC: 47J25 47H10 65J15 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{M. A. Hernández}, Bull. Aust. Math. Soc. 55, No. 1, 113--130 (1997; Zbl 0893.47043) Full Text: DOI