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 | 400 | 2003 |
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 | 358 | 1997 |
An acceleration of Newton's method: Super-Halley method JM Gutiérrez, MA Hernández Applied Mathematics and Computation 117 (2-3), 223-239, 2001 | 241 | 2001 |
Recurrence relations for the super-Halley method JM Gutiérrez, MA Hernández Computers & Mathematics with Applications 36 (7), 1-8, 1998 | 197 | 1998 |
A new semilocal convergence theorem for Newton's method JM Gutiérrez Journal of computational and applied mathematics 79 (1), 131-145, 1997 | 154 | 1997 |
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 | 127 | 2013 |
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 | 125 | 2010 |
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 | 98 | 2013 |
On some computational orders of convergence M Grau-Sánchez, M Noguera, JM Gutiérrez Applied Mathematics Letters 23 (4), 472-478, 2010 | 95 | 2010 |
Accessibility of solutions by Newton's method JM Gutiérrez, MA Hernandez, MA Salanova International journal of computer mathematics 57 (3-4), 239-247, 1995 | 86 | 1995 |
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 | 76 | 1999 |
Newton’s method under weak Kantorovich conditions JM Gutiérrez, MA Hernández IMA journal of numerical analysis 20 (4), 521-532, 2000 | 67 | 2000 |
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 | 65 | 2015 |
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 | 65 | 2010 |
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 | 61 | 2011 |
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 | 54 | 1997 |
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 | 45 | 2014 |
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 | 45 | 2011 |
On the local convergence of secant-type methods S Amat*, S Busquier, JM Gutiérrez International Journal of Computer Mathematics 81 (9), 1153-1161, 2004 | 41 | 2004 |
Stability analysis of a parametric family of iterative methods for solving nonlinear models A Cordero, JM Gutiérrez, ÁA Magreñán, JR Torregrosa Applied Mathematics and Computation 285, 26-40, 2016 | 40 | 2016 |