José Manuel Gutiérrez Jiménez

According to our database, José Manuel Gutiérrez Jiménez authored at least 28 papers between 1995 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Two Dynamic Remarks on the Chebyshev-Halley Family of Iterative Methods for Solving Nonlinear Equations.

José M. Gutiérrez, Víctor Galilea

Axioms, December, 2023

2021

An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind.

José M. Gutiérrez, Miguel Ángel Hernández-Verón

Symmetry, 2021

2020

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

2019

An acceleration of the continuous Newton's method.

José M. Gutiérrez, M. A. Hernández-Verón

J. Comput. Appl. Math., 2019

2017

A first overview on the real dynamics of Chebyshev's method.

M. García-Olivo, José M. Gutiérrez, Ángel Alberto Magreñán

J. Comput. Appl. Math., 2017

2016

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

2015

Real dynamics for damped Newton's method applied to cubic polynomials.

Ángel Alberto Magreñán, José Manuel Gutiérrez Jiménez

J. Comput. Appl. Math., 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

Numerical Properties of Different Root-Finding Algorithms Obtained for Approximating Continuous Newton's Method.

José Manuel Gutiérrez Jiménez

Algorithms, 2015

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

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

Frozen Iterative Methods Using Divided Differences "à la Schmidt-Schwetlick".

Miquel Grau-Sánchez, Miquel Noguera, José Manuel Gutiérrez Jiménez

J. Optim. Theory Appl., 2014

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

Complex dynamics of derivative-free methods for nonlinear equations.

Francisco Chicharro, Alicia Cordero, José Manuel Gutiérrez Jiménez, Juan R. Torregrosa

Appl. Math. Comput., 2013

2012

Dynamics of a fifth-order iterative method.

José Manuel Gutiérrez Jiménez, Sergio Plaza, Natalia Romero

Int. J. Comput. Math., 2012

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

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

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

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

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

On some computational orders of convergence.

Miquel Grau-Sánchez, Miquel Noguera, José Manuel Gutiérrez Jiménez

Appl. Math. Lett., 2010

2009

Zero-finder methods derived from Obreshkov's techniques.

Miquel Grau-Sánchez, José Manuel Gutiérrez Jiménez

Appl. Math. Comput., 2009

2008

A note on a modification of Moser's method.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Complex., 2008

2007

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

2004

On the local convergence of secant-type methods.

Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez

Int. J. Comput. Math., 2004

2001

An acceleration of Newton's method: Super-Halley method.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández

Appl. Math. Comput., 2001

2000

Newton's Method under Different Lipschitz Conditions.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández

Proceedings of the Numerical Analysis and Its Applications, 2000

1995

Accessibility Of Solutions By Newton's Method.

José M. Gutiérrez, Miguel Ángel Hernández, M. A. Salanova

Int. J. Comput. Math., 1995