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José Manuel Gutiérrez
José Manuel Gutiérrez
Professor of Mathematics, University of La Rioja (Spain)
Verified email at unirioja.es
Title
Cited by
Cited by
Year
Geometric constructions of iterative functions to solve nonlinear equations
S Amat, S Busquier, JM Gutiérrez
Journal of Computational and Applied Mathematics 157 (1), 197-205, 2003
3982003
A family of Chebyshev-Halley type methods in Banach spaces
JM Gutierrez, MA Hernández
Bulletin of the Australian Mathematical Society 55 (1), 113-130, 1997
3591997
An acceleration of Newton's method: Super-Halley method
JM Gutiérrez, MA Hernández
Applied Mathematics and Computation 117 (2-3), 223-239, 2001
2372001
Recurrence relations for the super-Halley method
JM Gutiérrez, MA Hernández
Computers & Mathematics with Applications 36 (7), 1-8, 1998
1971998
A new semilocal convergence theorem for Newton's method
JM Gutiérrez
Journal of computational and applied mathematics 79 (1), 131-145, 1997
1551997
Complex dynamics of derivative-free methods for nonlinear equations
F Chicharro, A Cordero, JM Gutiérrez, JR Torregrosa
Applied Mathematics and Computation 219 (12), 7023-7035, 2013
1242013
The Newton method: from Newton to Kantorovich
JA Ezquerro, JM Gutiérrez, MA Hernández, N Romero, MJ Rubio
Gac. R. Soc. Mat. Esp 13 (1), 53-76, 2010
1212010
On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions
JM Gutiérrez, ÁA Magreñán, N Romero
Applied Mathematics and Computation 221, 79-88, 2013
962013
On some computational orders of convergence
M Grau-Sánchez, M Noguera, JM Gutiérrez
Applied Mathematics Letters 23 (4), 472-478, 2010
892010
Accessibility of solutions by Newton's method
JM Gutiérrez, MA Hernandez, MA Salanova
International journal of computer mathematics 57 (3-4), 239-247, 1995
861995
Chebyshev-like methods and quadratic equations
JA Ezquerro, JM Gutiérrez, MA Hernández, MA Salanova
Revue d'Analyse Numérique et de Théorie de l'Approximation 28 (1), 23-35, 1999
751999
Newton’s method under weak Kantorovich conditions
JM Gutiérrez, MA Hernández
IMA journal of numerical analysis 20 (4), 521-532, 2000
662000
Dynamics of a new family of iterative processes for quadratic polynomials
JM Gutiérrez, MA Hernández, N Romero
Journal of Computational and Applied Mathematics 233 (10), 2688-2695, 2010
652010
Real dynamics for damped Newton’s method applied to cubic polynomials
ÁA Magreñán, JM Gutiérrez
Journal of Computational and Applied Mathematics 275, 527-538, 2015
642015
On the semilocal convergence of efficient Chebyshev–Secant-type methods
IK Argyros, JA Ezquerro, JM Gutiérrez, MA Hernández, S Hilout
Journal of Computational and Applied Mathematics 235 (10), 3195-3206, 2011
612011
Third-order iterative methods for operators with bounded second derivative
JM Gutiérrez, MA Hernández
Journal of Computational and Applied Mathematics 82 (1-2), 171-183, 1997
531997
Third-order iterative methods with applications to Hammerstein equations: a unified approach
S Amat, S Busquier, JM Gutiérrez
Journal of computational and applied mathematics 235 (9), 2936-2943, 2011
452011
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
ÁA Magreñán, A Cordero, JM Gutiérrez, JR Torregrosa
Mathematics and Computers in Simulation 105, 49-61, 2014
442014
On the local convergence of secant-type methods
S Amat*, S Busquier, JM Gutiérrez
International Journal of Computer Mathematics 81 (9), 1153-1161, 2004
412004
On the global convergence of Chebyshev's iterative method
S Amat, S Busquier, JM Gutiérrez, MA Hernández
Journal of Computational and Applied Mathematics 220 (1-2), 17-21, 2008
392008
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