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Scopus Author ID: 6602193669
ResearcherID: K-8933-2014
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Universidad de La Rioja: Logroño, La Rioja, ES

Matemática Aplicada (Departamento de Matemáticas y Computación)
Employment
Source: Self-asserted source
José M. Gutiérrez

Works (50 of 93)

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Page 1 of 2

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

Axioms
2023-12-12 | Journal article
DOI: 10.3390/axioms12121114
Contributors: José M. Gutiérrez; Víctor Galilea
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Two Dynamic Remarks on the Chebyshev-Halley Family of Iterative Methods for Solving Nonlinear Equations

2023-11-02 | Preprint
DOI: 10.20944/preprints202311.0128.v1
Contributors: José Manuel Gutiérrez; Víctor Galilea
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An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind

Symmetry
2021-10-17 | Journal article
DOI: 10.3390/sym13101957
Contributors: José M. Gutiérrez; Miguel Á. Hernández-Verón
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A Graphic Method for Detecting Multiple Roots Based on Self-Maps of the Hopf Fibration and Nullity Tolerances

Mathematics
2021-08-11 | Journal article
DOI: 10.3390/math9161914
Contributors: José Ignacio Extreminana-Aldana; José Manuel Gutiérrez-Jiménez; Luis Javier Hernández-Paricio; María Teresa Rivas-Rodríguéz
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A Characterization of the Dynamics of Schröder’s Method for Polynomials with Two Roots

Fractal and Fractional
2021-03-20 | Journal article
DOI: 10.3390/fractalfract5010025
Contributors: Víctor Galilea; José M. Gutiérrez
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A Picard-Type Iterative Scheme for Fredholm Integral Equations of the Second Kind

Mathematics
2021-01-01 | Journal article
DOI: 10.3390/math9010083
Contributors: José M. Gutiérrez; Miguel Á. Hernández-Verón
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Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes

Mathematics
2020-10-11 | Journal article
DOI: 10.3390/math8101747
Contributors: José Manuel Gutiérrez; Miguel Ángel Hernández-Verón; Eulalia Martínez
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Superattracting Extraneous Fixed Points and n-cycles for Chebyshev’s Method on Cubic Polynomials

Qualitative Theory of Dynamical Systems
2020-08 | Journal article
DOI: 10.1007/s12346-020-00390-5
Contributors: José M. Gutiérrez; Juan L. Varona
Source: check_circle
Crossref

An acceleration of the continuous Newton’s method

Journal of Computational and Applied Mathematics
2019-07 | Journal article
DOI: 10.1016/j.cam.2018.03.013
Contributors: J.M. Gutiérrez; M.Á. Hernández-Verón
Source: check_circle
Crossref

Graphical representations for the homogeneous bivariate Newton's method

Applied Mathematics and Computation
2015 | Journal article
DOI: 10.1016/j.amc.2015.07.102
EID:

2-s2.0-84940703024
Contributors: García Calcines, J.M.; Gutiérrez, J.M.; Hernández Paricio, L.J.; Rivas Rodríguez, M.T.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier
grade
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Numerical properties of different root-finding algorithms obtained for approximating continuous newton's method

Algorithms
2015 | Journal article
DOI: 10.3390/a8041210
EID:

2-s2.0-84952325297
Contributors: Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier
grade
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Real dynamics for damped Newton's method applied to cubic polynomials

Journal of Computational and Applied Mathematics
2015 | Journal article
DOI: 10.1016/j.cam.2013.11.019
EID:

2-s2.0-84908215800
Contributors: Magreñán, Á.A.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier
grade
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Convergence of the relaxed Newton's method

Journal of the Korean Mathematical Society
2014 | Journal article
DOI: 10.4134/JKMS.2014.51.1.137
EID:

2-s2.0-84891279431
Contributors: Argyros, I.K.; Gutiérrez, J.M.; Magreñán, Á.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

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

Journal of Optimization Theory and Applications
2014 | Journal article
DOI: 10.1007/s10957-012-0216-1
EID:

2-s2.0-84896493624
Contributors: Grau-Sánchez, M.; Noguera, M.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Influence of the multiplicity of the roots on the basins of attraction of Newton's method

Numerical Algorithms
2014 | Journal article
DOI: 10.1007/s11075-013-9742-7
EID:

2-s2.0-84903483933
Contributors: Gutiérrez, J.M.; Hernández-Paricio, L.J.; Marañón-Grandes, M.; Rivas-Rodríguez, M.T.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

Mathematics and Computers in Simulation
2014 | Journal article
DOI: 10.1016/j.matcom.2014.04.006
EID:

2-s2.0-84902471667
Contributors: Magreñán, Á.A.; Cordero, A.; Gutiérrez, J.M.; Torregrosa, J.R.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A note on the semilocal convergence of Chebyshev's method

Bulletin of the Australian Mathematical Society
2013 | Journal article
DOI: 10.1017/S0004972712000743
EID:

2-s2.0-84881609909
Contributors: Diloné, M.A.; García-Olivo, M.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Chebyshev-Secant-type Methods for Non-differentiable Operators

Milan Journal of Mathematics
2013 | Journal article
DOI: 10.1007/s00032-012-0189-4
EID:

2-s2.0-84876945659
Contributors: Argyros, I.K.; Ezquerro, J.A.; Gutiérrez, J.M.; Hernández, M.A.; Hilout, S.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Complex dynamics of derivative-free methods for nonlinear equations

Applied Mathematics and Computation
2013 | Journal article
DOI: 10.1016/j.amc.2012.12.075
EID:

2-s2.0-84874024608
Contributors: Chicharro, F.; Cordero, A.; Gutiérrez, J.M.; Torregrosa, J.R.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Dinámica del método de Newton

2013 | Book
ISBN: 978-84-695-7461-4
Source: Self-asserted source
José M. Gutiérrez

El método de Chebyshev para el cálculo de las raíces de ecuaciones no lineales [Tesis doctoral dirigida]

2013 | Dissertation or Thesis
Source: Self-asserted source
José M. Gutiérrez

Estudio de la dinámica del método de Newton amortiguado [Tesis doctoral dirigida]

2013 | Dissertation or Thesis
Source: Self-asserted source
José M. Gutiérrez

Métodos iterativos aplicados a la ecuación de Kepler [Tesis doctoral dirigida]

2013 | Dissertation or Thesis
Source: Self-asserted source
José M. Gutiérrez

On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions

Applied Mathematics and Computation
2013 | Journal article
DOI: 10.1016/j.amc.2013.05.078
EID:

2-s2.0-84880349963
Contributors: Gutiérrez, J.M.; Magreñán, Á.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Dynamic aspects of damped newton's method

Civil-Comp Proceedings
2012 | Journal article
EID:

2-s2.0-84893824536
Contributors: Gutiérrez, J.M.; Magreñán, A.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Dynamics of a fifth-order iterative method

International Journal of Computer Mathematics
2012 | Journal article
DOI: 10.1080/00207160.2012.663081
EID:

2-s2.0-84859199344
Contributors: Gutiérrez, J.M.; Plaza, S.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A comparative study of different semilocal convergence results applied to kepler's equation

Computational Mathematics: Theory, Methods and Applications
2011 | Book
EID:

2-s2.0-84892111989
Contributors: Diloné, M.A.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Fractal dimension of the universal Julia sets for the Chebyshev-Halley family of methods

AIP Conference Proceedings
2011 | Conference paper
DOI: 10.1063/1.3637794
EID:

2-s2.0-81855216304
Contributors: Gutiérrez, J.M.; Magreñán, Á.A.; Varona, J.L.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

On the semilocal convergence of efficient Chebyshev-Secant-type methods

Journal of Computational and Applied Mathematics
2011 | Journal article
DOI: 10.1016/j.cam.2011.01.005
EID:

2-s2.0-79952188949
Contributors: Argyros, I.K.; Ezquerro, J.A.; Gutiérrez, J.M.; Hernández, M.A.; Hilout, S.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

The "gauss-Seidelization" of iterative methods for solving nonlinear equations in the complex plane

Applied Mathematics and Computation
2011 | Journal article
DOI: 10.1016/j.amc.2011.07.061
EID:

2-s2.0-80053241895
Contributors: Gutiérrez, J.M.; Magreñán, A.A.; Varona, J.L.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Third-order iterative methods with applications to Hammerstein equations: A unified approach

Journal of Computational and Applied Mathematics
2011 | Journal article
DOI: 10.1016/j.cam.2010.12.011
EID:

2-s2.0-79951512678
Contributors: Amat, S.; Busquier, S.; Gutirrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A Comparative Study of Different Semilocal Convergence Results Applied to Kepler's Equation

Computational Mathematics: Theory, Methods and Applications
2010 | Book chapter
Source: Self-asserted source
José M. Gutiérrez

A dynamic and analytical study of the damped Newton's method

Proceedings of the 7th International Conference on Engineering Computational Technology
2010 | Conference paper
EID:

2-s2.0-84858419170
Contributors: Gutiérrez, J.M.; Magreñán, A.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Alpha-Theory for Newton-Moser Method

Monografías Matemáticas García Galdeano
2010 | Book chapter
Source: Self-asserted source
José M. Gutiérrez

Dynamics of a new family of iterative processes for quadratic polynomials

Journal of Computational and Applied Mathematics
2010 | Journal article
DOI: 10.1016/j.cam.2009.11.017
EID:

2-s2.0-73449142426
Contributors: Gutiérrez, J.M.; Hernández, M.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

El método de Newton: de Newton a Kantorovich

La Gaceta de la Real Sociedad Matemática Española (RSME)
2010 | Journal article
Source: Self-asserted source
José M. Gutiérrez

Elementos de Matemática Discreta

2010 | Book
ISBN: 978-84-693-6451-2
Source: Self-asserted source
José M. Gutiérrez

On some computational orders of convergence

Applied Mathematics Letters
2010 | Journal article
DOI: 10.1016/j.aml.2009.12.006
EID:

2-s2.0-76749090063
Contributors: Grau-Sánchez, M.; Noguera, M.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

On the application of iterative methods for geometric problems

Proceedings of the 7th International Conference on Engineering Computational Technology
2010 | Conference paper
EID:

2-s2.0-84858382839
Contributors: Amat, S.; Busquier, S.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Relaciones de recurrencia en el método de Newton-Kantorovich

Contribuciones científicas en honor de Mirian Andrés Gómez
2010 | Book chapter
Source: Self-asserted source
José M. Gutiérrez

Some variants of the Chebyshev-Halley family of methods with fifth order of convergence

International Journal of Computer Mathematics
2010 | Journal article
DOI: 10.1080/00207160802208358
EID:

2-s2.0-77951140632
Contributors: Grau-Sánchez, M.; Gutierrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Zero-finder methods derived from Obreshkov's techniques

Applied Mathematics and Computation
2009 | Journal article
DOI: 10.1016/j.amc.2009.09.046
EID:

2-s2.0-70449531459
Contributors: Grau-Sánchez, M.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A note on a modification of Moser's method

Journal of Complexity
2008 | Journal article
DOI: 10.1016/j.jco.2007.04.003
EID:

2-s2.0-40749130430
Contributors: Gutiérrez, J.M.; Hernández, M.A.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A numerical procedure to solve non-linear kinematic problems in spatial mechanisms

International Journal for Numerical Methods in Engineering
2008 | Journal article
DOI: 10.1002/nme.2110
EID:

2-s2.0-39749190544
Contributors: Petuya, V.; Gutiérrez, J.M.; Alonso, A.; Altuzarra, O.; Hernández, A.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

El seminaro permanente de actualización en matemáticas de la Universidad de La Rioja

Matematicalia
2008 | Journal article
Source: Self-asserted source
José M. Gutiérrez

New identities in the Catalan triangle

Journal of Mathematical Analysis and Applications
2008 | Journal article
DOI: 10.1016/j.jmaa.2007.09.073
EID:

2-s2.0-38749113742
Contributors: Gutiérrez, J.M.; Hernández, M.A.; Miana, P.J.; Romero, N.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

On the global convergence of Chebyshev's iterative method

Journal of Computational and Applied Mathematics
2008 | Journal article
DOI: 10.1016/j.cam.2007.07.022
EID:

2-s2.0-47849132177
Contributors: Amat, S.; Busquier, S.; Gutiérrez, J.M.; Hernández, M.A.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

A unifying local and semilocal convergence analysis of Newton-like methods

Advances in Nonlinear Variational Inequalities
2007 | Journal article
Source: Self-asserted source
José M. Gutiérrez

Accelerated iterative methods for finding solutions of a system of nonlinear equations

Applied Mathematics and Computation
2007 | Journal article
DOI: 10.1016/j.amc.2007.02.068
EID:

2-s2.0-34250672389
Contributors: Grau-Sánchez, M.; Peris, J.M.; Gutiérrez, J.M.
Source: Self-asserted source
José M. Gutiérrez via Scopus - Elsevier

Experiencia de implantación de un sistema de evaluación continua coordinado en el primer curso de la titulación de Ingeniería Técnica Agrícola de la Universidad de La Rioja

El espacio europeo de educación superior : una oportunidad para las enseñanzas técnicas
2007 | Book chapter
Source: Self-asserted source
José M. Gutiérrez
Items per page:
Page 1 of 2

Peer review (4 reviews for 2 publications/grants)

Review activity for Applied mathematics letters. (1)
Review activity for Journal of mathematical analysis and applications. (3)
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