Accessibility Of Solutions By Newton's Method. - José M. Gutiérrez 001; Miguel Ángel Hernández 001; M. A. Salanova (Int. J. Comput. Math., 1995)

Newton's Method under Different Lipschitz Conditions. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández 001 (NAA, 2000)

An acceleration of Newton's method: Super-Halley method. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández 001 (Appl. Math. Comput., 2001)

On the local convergence of secant-type methods. - Sergio Amat; Sonia Busquier; José Manuel Gutiérrez Jiménez (Int. J. Comput. Math., 2004)

Accelerated iterative methods for finding solutions of a system of nonlinear equations. - Miquel Grau-Sánchez; Josep M. Peris; José Manuel Gutiérrez Jiménez (Appl. Math. Comput., 2007)

A note on a modification of Moser's method. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (J. Complex., 2008)

Zero-finder methods derived from Obreshkov's techniques. - Miquel Grau-Sánchez; José Manuel Gutiérrez Jiménez (Appl. Math. Comput., 2009)

On some computational orders of convergence. - Miquel Grau-Sánchez; Miquel Noguera; José Manuel Gutiérrez Jiménez (Appl. Math. Lett., 2010)

Some variants of the Chebyshev-Halley family of methods with fifth order of convergence. - Miquel Grau-Sánchez; José Manuel Gutiérrez Jiménez (Int. J. Comput. Math., 2010)

Dynamics of a new family of iterative processes for quadratic polynomials. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (J. Comput. Appl. Math., 2010)

The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane. - José Manuel Gutiérrez Jiménez; Ángel Alberto Magreñán; Juan Luis Varona (Appl. Math. Comput., 2011)

Third-order iterative methods with applications to Hammerstein equations: A unified approach. - Sergio Amat; Sonia Busquier; José Manuel Gutiérrez Jiménez (J. Comput. Appl. Math., 2011)

On the semilocal convergence of efficient Chebyshev-Secant-type methods. - Ioannis K. Argyros; J. A. Ezquerro; José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Saïd Hilout (J. Comput. Appl. Math., 2011)

Dynamics of a fifth-order iterative method. - José Manuel Gutiérrez Jiménez; Sergio Plaza; Natalia Romero (Int. J. Comput. Math., 2012)

Complex dynamics of derivative-free methods for nonlinear equations. - Francisco Chicharro; Alicia Cordero; José Manuel Gutiérrez Jiménez; Juan R. Torregrosa (Appl. Math. Comput., 2013)

On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions. - José Manuel Gutiérrez Jiménez; Ángel Alberto Magreñán; Natalia Romero Álvarez (Appl. Math. Comput., 2013)

Frozen Iterative Methods Using Divided Differences "à la Schmidt-Schwetlick". - Miquel Grau-Sánchez; Miquel Noguera; José Manuel Gutiérrez Jiménez (J. Optim. Theory Appl., 2014)

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane. - Ángel Alberto Magreñán; Alicia Cordero; José Manuel Gutiérrez Jiménez; Juan R. Torregrosa (Math. Comput. Simul., 2014)

Influence of the multiplicity of the roots on the basins of attraction of Newton's method. - José Manuel Gutiérrez Jiménez; Luis Javier Hernández-Paricio; Miguel Marañón-Grandes; María Teresa Rivas Rodríguez (Numer. Algorithms, 2014)

Numerical Properties of Different Root-Finding Algorithms Obtained for Approximating Continuous Newton's Method. - José Manuel Gutiérrez Jiménez (Algorithms, 2015)

Graphical representations for the homogeneous bivariate Newton's method. - José Manuel García-Calcines; José Manuel Gutiérrez Jiménez; Luis Javier Hernández-Paricio; María Teresa Rivas Rodríguez (Appl. Math. Comput., 2015)

Real dynamics for damped Newton's method applied to cubic polynomials. - Ángel Alberto Magreñán; José Manuel Gutiérrez Jiménez (J. Comput. Appl. Math., 2015)

Stability analysis of a parametric family of iterative methods for solving nonlinear models. - Alicia Cordero; José Manuel Gutiérrez Jiménez; Ángel Alberto Magreñán; Juan R. Torregrosa (Appl. Math. Comput., 2016)

A first overview on the real dynamics of Chebyshev's method. - M. García-Olivo; José M. Gutiérrez 001; Ángel Alberto Magreñán (J. Comput. Appl. Math., 2017)

An acceleration of the continuous Newton's method. - José M. Gutiérrez 001; M. A. Hernández-Verón (J. Comput. Appl. Math., 2019)

Extending the applicability of Newton's method for a class of boundary value problems using the shooting method. - Ioannis K. Argyros; Johan Ceballos; Daniel González; José Manuel Gutiérrez Jiménez (Appl. Math. Comput., 2020)

An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind. - José M. Gutiérrez 001; Miguel Ángel Hernández-Verón (Symmetry, 2021)

Two Dynamic Remarks on the Chebyshev-Halley Family of Iterative Methods for Solving Nonlinear Equations. - José M. Gutiérrez 001; Víctor Galilea (Axioms, 2023)