M. A. Hernández-Verón

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 37

Top Topics

Starting Points

Iterative Process

Nonlinear Equations

Global Convergence

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Numer. Algorithms

Appl. Math. Lett.

Publications

J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán, Alejandro Moysi
On the existence and the approximation of solutions of Volterra integral equations of the second kind. Appl. Math. Comput. 478 (2024)
J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán, Alejandro Moysi
A procedure to obtain quadratic convergence from the secant method. J. Comput. Appl. Math. 448 (2024)
J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán, Alejandro Moysi
A significant improvement of a family of secant-type methods. J. Comput. Appl. Math. 424 (2023)
Sonia Yadav, Sukhjit Singh, M. A. Hernández-Verón, Eulalia Martínez, Ajay Kumar, R. P. Badoni
About the existence and uniqueness of solutions for some second-order nonlinear BVPs. Appl. Math. Comput. 457 (2023)
M. A. Hernández-Verón, Nisha Yadav, Eulalia Martínez, Sukhjit Singh
Kurchatov-type methods for non-differentiable Hammerstein-type integral equations. Numer. Algorithms 93 (1) (2023)
M. A. Hernández-Verón, Eulalia Martínez, Sukhjit Singh Dhaliwal
A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel. J. Comput. Appl. Math. 404 (2022)
M. A. Hernández-Verón, Eulalia Martínez
Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials. J. Comput. Appl. Math. 404 (2022)
J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán
On global convergence for an efficient third-order iterative process. J. Comput. Appl. Math. 404 (2022)
M. A. Hernández-Verón, Natalia Romero Álvarez
An efficient predictor-corrector iterative scheme for solving Wiener-Hopf problems. J. Comput. Appl. Math. 404 (2022)
J. A. Ezquerro, M. A. Hernández-Verón
A new concept of convergence for iterative methods: Restricted global convergence. J. Comput. Appl. Math. 405 (2022)
M. A. Hernández-Verón, Sonia Yadav, Eulalia Martínez, Sukhjit Singh Dhaliwal
Solving nonlinear integral equations with non-separable kernel via a high-order iterative process. Appl. Math. Comput. 409 (2021)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez
On the local and semilocal convergence of a parameterized multi-step Newton method. J. Comput. Appl. Math. 376 (2020)
M. A. Hernández-Verón, Ángel Alberto Magreñán, M. J. Rubio
Dynamics and local convergence of a family of derivative-free iterative processes. J. Comput. Appl. Math. 354 (2019)
J. A. Ezquerro, M. A. Hernández-Verón
Nonlinear Fredholm integral equations and majorant functions. Numer. Algorithms 82 (4) (2019)
J. A. Ezquerro, M. A. Hernández-Verón
Auxiliary point on the semilocal convergence of Newton's method. J. Comput. Appl. Math. 354 (2019)
J. A. Ezquerro, M. A. Hernández-Verón
Construction of simple majorizing sequences for iterative methods. Appl. Math. Lett. 98 (2019)
José M. Gutiérrez, M. A. Hernández-Verón
An acceleration of the continuous Newton's method. J. Comput. Appl. Math. 354 (2019)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez
On the local convergence study for an efficient k-step iterative method. J. Comput. Appl. Math. 343 (2018)
Ioannis K. Argyros, J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán
Extending the domain of starting points for Newton's method under conditions on the second derivative. J. Comput. Appl. Math. 340 (2018)
J. A. Ezquerro, M. A. Hernández-Verón
Domains of global convergence for Newton's method from auxiliary points. Appl. Math. Lett. 85 (2018)
J. A. Ezquerro, M. A. Hernández-Verón
The majorant principle applied to Hammerstein integral equations. Appl. Math. Lett. 75 (2018)
J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán
Starting points for Newton's method under a center Lipschitz condition for the second derivative. J. Comput. Appl. Math. 330 (2018)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
On two high-order families of frozen Newton-type methods. Numer. Linear Algebra Appl. 25 (1) (2018)
M. A. Hernández-Verón, Eulalia Martínez
Improving the accessibility of Steffensen's method by decomposition of operators. J. Comput. Appl. Math. 330 (2018)
M. A. Hernández-Verón, Natalia Romero Álvarez
Existence, localization and approximation of solution of symmetric algebraic Riccati equations. Comput. Math. Appl. 76 (1) (2018)
J. A. Ezquerro, M. A. Hernández-Verón
A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations. Adv. Comput. Math. 43 (5) (2017)
M. A. Hernández-Verón, M. J. Rubio
On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators. Appl. Math. Comput. 304 (2017)
M. A. Hernández-Verón, Eulalia Martínez, Carles Teruel
Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems. Numer. Algorithms 76 (2) (2017)
Ioannis K. Argyros, M. A. Hernández-Verón, M. J. Rubio
Convergence of Steffensen's method for non-differentiable operators. Numer. Algorithms 75 (1) (2017)
Sergio Amat, Concepción Bermúdez, M. A. Hernández-Verón, Eulalia Martínez
On an efficient k-step iterative method for nonlinear equations. J. Comput. Appl. Math. 302 (2016)
J. A. Ezquerro, M. A. Hernández-Verón
Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative. J. Complex. 33 (2016)
M. A. Hernández-Verón, M. J. Rubio
On the ball of convergence of secant-like methods for non-differentiable operators. Appl. Math. Comput. 273 (2016)
Sergio Amat, Sonia Busquier, J. A. Ezquerro, M. A. Hernández-Verón
A Steffensen type method of two steps in Banach spaces with applications. J. Comput. Appl. Math. 291 (2016)
Sergio Amat, J. A. Ezquerro, M. A. Hernández-Verón
th root. Numer. Linear Algebra Appl. 22 (4) (2015)
M. A. Hernández-Verón, Eulalia Martínez
On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions. Numer. Algorithms 70 (2) (2015)
José Antonio Ezquerro, M. A. Hernández-Verón, A. I. Velasco
An analysis of the semilocal convergence for secant-like methods. Appl. Math. Comput. 266 (2015)
M. A. Hernández-Verón, Natalia Romero Álvarez
On the Local Convergence of a Third Order Family of Iterative Processes. Algorithms 8 (4) (2015)