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José Manuel Gutiérrez
José Manuel Gutiérrez
Professor of Mathematics, University of La Rioja (Spain)
Bestätigte E-Mail-Adresse bei unirioja.es
Titel
Zitiert von
Zitiert von
Jahr
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
3992003
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
1242010
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
982013
On some computational orders of convergence
M Grau-Sánchez, M Noguera, JM Gutiérrez
Applied Mathematics Letters 23 (4), 472-478, 2010
942010
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
402008
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