Miguel Ángel Hernández-Verón

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 15

Top Topics

Integral Equation

Iterative Methods

Top Venues

Comput. Math. Methods

J. Comput. Appl. Math.

Appl. Math. Comput.

Publications

Miguel Ángel Hernández-Verón, Sukhjit Singh, Eulalia Martínez, Nisha Yadav
A fixed-Point Type Result for some non-differentiable Fredholm integral equations. Math. Model. Anal. 29 (1) (2024)
Miguel Ángel Hernández-Verón, Sonia Yadav, Ángel Alberto Magreñán, Eulalia Martínez, Sukhjit Singh Dhaliwal
An Algorithm Derivative-Free to Improve the Steffensen-Type Methods. Symmetry 14 (1) (2022)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Solving Wiener-Hopf problems via an efficient iterative scheme. J. Comput. Appl. Math. 405 (2022)
Miguel Ángel Hernández-Verón, Eulalia Martínez, Sukhjit Singh
On the Chandrasekhar integral equation. Comput. Math. Methods 3 (6) (2021)
José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Ángel Alberto Magreñán
On an efficient modification of the Chebyshev method. Comput. Math. Methods 3 (6) (2021)
José M. Gutiérrez, Miguel Ángel Hernández-Verón
An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind. Symmetry 13 (10) (2021)
Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón
On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences. Comput. Methods Appl. Math. 17 (2) (2017)
José Antonio Ezquerro, Miguel Ángel Hernández-Verón
On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich's Technique. Algorithms 10 (3) (2017)
José Antonio Ezquerro, Miguel Ángel Hernández-Verón
On the Accessibility of Newton's Method under a Hölder Condition on the First Derivative. Algorithms 8 (3) (2015)
J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera
A family of iterative methods that uses divided differences of first and second orders. Numer. Algorithms 70 (3) (2015)
Alicia Cordero, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, Juan R. Torregrosa
Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces. J. Comput. Appl. Math. 273 (2015)
Alicia Cordero, José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Juan R. Torregrosa
On the local convergence of a fifth-order iterative method in Banach spaces. Appl. Math. Comput. 251 (2015)
José Antonio Ezquerro, Miguel Ángel Hernández-Verón
How to improve the domain of parameters for Newton's method. Appl. Math. Lett. 48 (2015)
Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez
Directional Chebyshev-type methods for solving equations. Math. Comput. 84 (292) (2015)
José Antonio Ezquerro, Miguel Ángel Hernández-Verón
Center conditions on high order derivatives in the semilocal convergence of Newton's method. J. Complex. 31 (2) (2015)
Sergio Amat, José Antonio Ezquerro, Miguel Ángel Hernández-Verón
Approximation of inverse operators by a new family of high-order iterative methods. Numer. Linear Algebra Appl. 21 (5) (2014)
Sergio Amat, Miguel Ángel Hernández-Verón, M. J. Rubio
Improving the applicability of the secant method to solve nonlinear systems of equations. Appl. Math. Comput. 247 (2014)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. J. Rubio, A. I. Velasco
An hybrid method that improves the accessibility of Steffensen's method. Numer. Algorithms 66 (2) (2014)
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández-Verón
A semilocal convergence result for Newton's method under generalized conditions of Kantorovich. J. Complex. 30 (3) (2014)
L. A. Velazquez, Miguel Ángel Hernández-Verón, Moises Leon, Rocio Berenice Domínguez, Juan Manuel Gutiérrez-Salgado
First advances on the development of a hydroponic system for cherry tomato culture. CCE (2013)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco
On Steffensen's method on Banach spaces. J. Comput. Appl. Math. 249 (2013)
José Antonio Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón
On the efficiency of two variants of Kurchatov's method for solving nonlinear systems. Numer. Algorithms 64 (4) (2013)
J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón
On the local convergence of Newton's method under generalized conditions of Kantorovich. Appl. Math. Lett. 26 (5) (2013)
J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón
A modification of the classic conditions of Newton-Kantorovich for Newton's method. Math. Comput. Model. 57 (3-4) (2013)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco
Improving the domain of starting points for secant-like methods. Appl. Math. Comput. 219 (8) (2012)
J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón
A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type. Appl. Math. Comput. 218 (18) (2012)
J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón
Solving non-differentiable equations by a new one-point iterative method with memory. J. Complex. 28 (1) (2012)
J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón
Majorizing sequences for Newton's method from initial value problems. J. Comput. Appl. Math. 236 (9) (2012)
J. A. Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera
Analysing the efficiency of some modifications of the secant method. Comput. Math. Appl. 64 (6) (2012)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Solving nonlinear integral equations of Fredholm type with high order iterative methods. J. Comput. Appl. Math. 236 (6) (2011)
Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout
On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Comput. Appl. Math. 235 (10) (2011)
J. A. Ezquerro, Miquel Grau-Sánchez, Àngela Grau, Miguel Ángel Hernández-Verón, Miquel Noguera, Natalia Romero Álvarez
On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations. J. Optim. Theory Appl. 151 (1) (2011)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Dynamics of a new family of iterative processes for quadratic polynomials. J. Comput. Appl. Math. 233 (10) (2010)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
An extension of Gander's result for quadratic equations. J. Comput. Appl. Math. 234 (4) (2010)
J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Variants of a classic Traub's result. Comput. Math. Appl. 60 (11) (2010)
J. A. Ezquerro, Miguel Ángel Hernández-Verón
An optimization of Chebyshev's method. J. Complex. 25 (4) (2009)
J. A. Ezquerro, Miguel Ángel Hernández-Verón
An improvement of the region of accessibility of Chebyshev's method from Newton's method. Math. Comput. 78 (267) (2009)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Toward a unified theory for third R-order iterative methods for operators with unbounded second derivative. Appl. Math. Comput. 215 (6) (2009)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Newton-type methods of high order and domains of semilocal and global convergence. Appl. Math. Comput. 214 (1) (2009)
Sergio Amat, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
A modified Chebyshev's iterative method with at least sixth order of convergence. Appl. Math. Comput. 206 (1) (2008)
José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
A note on a modification of Moser's method. J. Complex. 24 (2) (2008)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
On the efficiency index of one-point iterative processes. Numer. Algorithms 46 (1) (2007)
J. A. Ezquerro, Miguel Ángel Hernández-Verón
A generalization of the Kantorovich type assumptions for Halley's method. Int. J. Comput. Math. 84 (12) (2007)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Methods with prefixed order for approximating square roots with global and general convergence. Appl. Math. Comput. 194 (2) (2007)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
Application of iterative processes of R-order at least three to operators with unbounded second derivative. Appl. Math. Comput. 185 (1) (2007)
Miguel Ángel Hernández-Verón, M. J. Rubio, J. A. Ezquerro
Solving a special case of conservative problems by Secant-like methods. Appl. Math. Comput. 169 (2) (2005)
Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
High order algorithms for approximating nth roots. Int. J. Comput. Math. 81 (8) (2004)
J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. A. Salanova
Solving a Boundary Value Problem by a Newton-Like Method. Int. J. Comput. Math. 79 (10) (2002)
Miguel Ángel Hernández-Verón, M. A. Salanova
Indices of convexity and concavity. Application to Halley method. Appl. Math. Comput. 103 (1) (1999)