José Manuel Gutiérrez Jiménez

Publication Activity (10 Years)

Years Active: 2000-2020
Publications (10 Years): 2

Top Topics

Iterative Methods

Nonlinear Equations

Stability Analysis

Top Venues

Appl. Math. Comput.

Math. Comput. Simul.

J. Optim. Theory Appl.

J. Comput. Appl. Math.

Publications

Ioannis K. Argyros, Johan Ceballos, Daniel González, José Manuel Gutiérrez Jiménez
Extending the applicability of Newton's method for a class of boundary value problems using the shooting method. Appl. Math. Comput. 384 (2020)
Alicia Cordero, José Manuel Gutiérrez Jiménez, Ángel Alberto Magreñán, Juan R. Torregrosa
Stability analysis of a parametric family of iterative methods for solving nonlinear models. Appl. Math. Comput. 285 (2016)
José Manuel García-Calcines, José Manuel Gutiérrez Jiménez, Luis Javier Hernández-Paricio, María Teresa Rivas Rodríguez
Graphical representations for the homogeneous bivariate Newton's method. Appl. Math. Comput. 269 (2015)
Ángel Alberto Magreñán, José Manuel Gutiérrez Jiménez
Real dynamics for damped Newton's method applied to cubic polynomials. J. Comput. Appl. Math. 275 (2015)
José Manuel Gutiérrez Jiménez
Numerical Properties of Different Root-Finding Algorithms Obtained for Approximating Continuous Newton's Method. Algorithms 8 (4) (2015)
Miquel Grau-Sánchez, Miquel Noguera, José Manuel Gutiérrez Jiménez
Frozen Iterative Methods Using Divided Differences "à la Schmidt-Schwetlick". J. Optim. Theory Appl. 160 (3) (2014)
José Manuel Gutiérrez Jiménez, Luis Javier Hernández-Paricio, Miguel Marañón-Grandes, María Teresa Rivas Rodríguez
Influence of the multiplicity of the roots on the basins of attraction of Newton's method. Numer. Algorithms 66 (3) (2014)
Ángel Alberto Magreñán, Alicia Cordero, José Manuel Gutiérrez Jiménez, Juan R. Torregrosa
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane. Math. Comput. Simul. 105 (2014)
Francisco Chicharro, Alicia Cordero, José Manuel Gutiérrez Jiménez, Juan R. Torregrosa
Complex dynamics of derivative-free methods for nonlinear equations. Appl. Math. Comput. 219 (12) (2013)
José Manuel Gutiérrez Jiménez, Ángel Alberto Magreñán, Natalia Romero Álvarez
On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions. Appl. Math. Comput. 221 (2013)
José Manuel Gutiérrez Jiménez, Sergio Plaza, Natalia Romero
Dynamics of a fifth-order iterative method. Int. J. Comput. Math. 89 (6) (2012)
José Manuel Gutiérrez Jiménez, Ángel Alberto Magreñán, Juan Luis Varona
The "Gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane. Appl. Math. Comput. 218 (6) (2011)
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
Third-order iterative methods with applications to Hammerstein equations: A unified approach. J. Comput. Appl. Math. 235 (9) (2011)
Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout
On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Comput. Appl. Math. 235 (10) (2011)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Dynamics of a new family of iterative processes for quadratic polynomials. J. Comput. Appl. Math. 233 (10) (2010)
Miquel Grau-Sánchez, José Manuel Gutiérrez Jiménez
Some variants of the Chebyshev-Halley family of methods with fifth order of convergence. Int. J. Comput. Math. 87 (4) (2010)
Miquel Grau-Sánchez, Miquel Noguera, José Manuel Gutiérrez Jiménez
On some computational orders of convergence. Appl. Math. Lett. 23 (4) (2010)
Miquel Grau-Sánchez, José Manuel Gutiérrez Jiménez
Zero-finder methods derived from Obreshkov's techniques. Appl. Math. Comput. 215 (8) (2009)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
A note on a modification of Moser's method. J. Complex. 24 (2) (2008)
Miquel Grau-Sánchez, Josep M. Peris, José Manuel Gutiérrez Jiménez
Accelerated iterative methods for finding solutions of a system of nonlinear equations. Appl. Math. Comput. 190 (2) (2007)
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
On the local convergence of secant-type methods. Int. J. Comput. Math. 81 (9) (2004)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández
An acceleration of Newton's method: Super-Halley method. Appl. Math. Comput. 117 (2-3) (2001)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández
Newton's Method under Different Lipschitz Conditions. NAA (2000)