Miguel Ángel Hernández-Verón

According to our database, Miguel Ángel Hernández-Verón authored at least 96 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

A fixed-Point Type Result for some non-differentiable Fredholm integral equations.

Miguel Ángel Hernández-Verón, Sukhjit Singh, Eulalia Martínez, Nisha Yadav

Math. Model. Anal., February, 2024

2023

About the existence and uniqueness of solutions for some second-order nonlinear BVPs.

Sonia Yadav, Sukhjit Singh, M. A. Hernández-Verón, Eulalia Martínez, Ajay Kumar, R. P. Badoni

Appl. Math. Comput., November, 2023

Kurchatov-type methods for non-differentiable Hammerstein-type integral equations.

M. A. Hernández-Verón, Nisha Yadav, Eulalia Martínez, Sukhjit Singh

Numer. Algorithms, May, 2023

A significant improvement of a family of secant-type methods.

J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán, Alejandro Moysi

J. Comput. Appl. Math., May, 2023

2022

An Algorithm Derivative-Free to Improve the Steffensen-Type Methods.

Miguel Ángel Hernández-Verón, Sonia Yadav, Ángel Alberto Magreñán, Eulalia Martínez, Sukhjit Singh

Symmetry, 2022

Solving Wiener-Hopf problems via an efficient iterative scheme.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Comput. Appl. Math., 2022

An efficient predictor-corrector iterative scheme for solving Wiener-Hopf problems.

M. A. Hernández-Verón, Natalia Romero Álvarez

J. Comput. Appl. Math., 2022

Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials.

M. A. Hernández-Verón, Eulalia Martínez

J. Comput. Appl. Math., 2022

A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel.

M. A. Hernández-Verón, Eulalia Martínez, Sukhjit Singh

J. Comput. Appl. Math., 2022

On global convergence for an efficient third-order iterative process.

J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán

J. Comput. Appl. Math., 2022

A new concept of convergence for iterative methods: Restricted global convergence.

J. A. Ezquerro, M. A. Hernández-Verón

J. Comput. Appl. Math., 2022

2021

On the Chandrasekhar integral equation.

Miguel Ángel Hernández-Verón, Eulalia Martínez, Sukhjit Singh

Comput. Math. Methods, November, 2021

On an efficient modification of the Chebyshev method.

José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Ángel Alberto Magreñán

Comput. Math. Methods, November, 2021

An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind.

José M. Gutiérrez, Miguel Ángel Hernández-Verón

Symmetry, 2021

Solving nonlinear integral equations with non-separable kernel via a high-order iterative process.

M. A. Hernández-Verón, Sonia Yadav, Eulalia Martínez, Sukhjit Singh

Appl. Math. Comput., 2021

2020

On the local and semilocal convergence of a parameterized multi-step Newton method.

Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez

J. Comput. Appl. Math., 2020

2019

Nonlinear Fredholm integral equations and majorant functions.

J. A. Ezquerro, M. A. Hernández-Verón

Numer. Algorithms, 2019

Dynamics and local convergence of a family of derivative-free iterative processes.

M. A. Hernández-Verón, Ángel Alberto Magreñán, M. Jóse Rubio

J. Comput. Appl. Math., 2019

An acceleration of the continuous Newton's method.

José M. Gutiérrez, M. A. Hernández-Verón

J. Comput. Appl. Math., 2019

Auxiliary point on the semilocal convergence of Newton's method.

J. A. Ezquerro, M. A. Hernández-Verón

J. Comput. Appl. Math., 2019

Construction of simple majorizing sequences for iterative methods.

J. A. Ezquerro, M. A. Hernández-Verón

Appl. Math. Lett., 2019

2018

On two high-order families of frozen Newton-type methods.

Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón

Numer. Linear Algebra Appl., 2018

Improving the accessibility of Steffensen's method by decomposition of operators.

M. A. Hernández-Verón, Eulalia Martínez

J. Comput. Appl. Math., 2018

Starting points for Newton's method under a center Lipschitz condition for the second derivative.

J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán

J. Comput. Appl. Math., 2018

Extending the domain of starting points for Newton's method under conditions on the second derivative.

Ioannis K. Argyros, J. A. Ezquerro, M. A. Hernández-Verón, Ángel Alberto Magreñán

J. Comput. Appl. Math., 2018

On the local convergence study for an efficient k-step iterative method.

Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez

J. Comput. Appl. Math., 2018

Existence, localization and approximation of solution of symmetric algebraic Riccati equations.

M. A. Hernández-Verón, Natalia Romero Álvarez

Comput. Math. Appl., 2018

Domains of global convergence for Newton's method from auxiliary points.

J. A. Ezquerro, M. A. Hernández-Verón

Appl. Math. Lett., 2018

The majorant principle applied to Hammerstein integral equations.

J. A. Ezquerro, M. A. Hernández-Verón

Appl. Math. Lett., 2018

2017

Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems.

M. A. Hernández-Verón, Eulalia Martínez, Carles Teruel

Numer. Algorithms, 2017

Convergence of Steffensen's method for non-differentiable operators.

Ioannis K. Argyros, M. A. Hernández-Verón, M. Jóse Rubio

Numer. Algorithms, 2017

On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences.

Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón

Comput. Methods Appl. Math., 2017

On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators.

M. A. Hernández-Verón, M. Jóse Rubio

Appl. Math. Comput., 2017

On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich's Technique.

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Algorithms, 2017

Expanding the Applicability of Some High Order Househölder-Like Methods.

Sergio Amat, Ioannis K. Argyros, Miguel Ángel Hernández, Natalia Romero Álvarez

Algorithms, 2017

A study of the influence of center conditions on the domain of parameters of Newton's method by using recurrence relations.

J. A. Ezquerro, M. A. Hernández-Verón

Adv. Comput. Math., 2017

2016

On an efficient k-step iterative method for nonlinear equations.

Sergio Amat, Concepción Bermúdez, M. A. Hernández-Verón, Eulalia Martínez

J. Comput. Appl. Math., 2016

A Steffensen type method of two steps in Banach spaces with applications.

Sergio Amat, Sonia Busquier, J. A. Ezquerro, M. A. Hernández-Verón

J. Comput. Appl. Math., 2016

Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative.

J. A. Ezquerro, M. A. Hernández-Verón

J. Complex., 2016

On the ball of convergence of secant-like methods for non-differentiable operators.

M. A. Hernández-Verón, M. Jóse Rubio

Appl. Math. Comput., 2016

2015

On a new family of high-order iterative methods for the matrix <i>p</i>th root.

Sergio Amat, J. A. Ezquerro, M. A. Hernández-Verón

Numer. Linear Algebra Appl., 2015

On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions.

M. A. Hernández-Verón, Eulalia Martínez

Numer. Algorithms, 2015

A family of iterative methods that uses divided differences of first and second orders.

J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera

Numer. Algorithms, 2015

Directional Chebyshev-type methods for solving equations.

Ioannis K. Argyros, Miguel Ángel Hernández-Verón, Saïd Hilout, Natalia Romero Álvarez

Math. Comput., 2015

Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces.

Alicia Cordero, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, Juan R. Torregrosa

J. Comput. Appl. Math., 2015

Center conditions on high order derivatives in the semilocal convergence of Newton's method.

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

J. Complex., 2015

How to improve the domain of parameters for Newton's method.

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Appl. Math. Lett., 2015

An analysis of the semilocal convergence for secant-like methods.

José Antonio Ezquerro, M. A. Hernández-Verón, A. I. Velasco

Appl. Math. Comput., 2015

On the local convergence of a fifth-order iterative method in Banach spaces.

Alicia Cordero, José Antonio Ezquerro, Miguel Ángel Hernández-Verón, Juan R. Torregrosa

Appl. Math. Comput., 2015

On the Local Convergence of a Third Order Family of Iterative Processes.

M. A. Hernández-Verón, Natalia Romero Álvarez

Algorithms, 2015

On the Accessibility of Newton's Method under a Hölder Condition on the First Derivative.

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Algorithms, 2015

2014

On a family of high-order iterative methods under gamma conditions with applications in denoising.

Sergio Amat, Miguel Ángel Hernández, Natalia Romero Álvarez

Numerische Mathematik, 2014

Approximation of inverse operators by a new family of high-order iterative methods.

Sergio Amat, José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Numer. Linear Algebra Appl., 2014

An hybrid method that improves the accessibility of Steffensen's method.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. Jóse Rubio, A. I. Velasco

Numer. Algorithms, 2014

A semilocal convergence result for Newton's method under generalized conditions of Kantorovich.

José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández-Verón

J. Complex., 2014

Improving the applicability of the secant method to solve nonlinear systems of equations.

Sergio Amat, Miguel Ángel Hernández-Verón, M. Jóse Rubio

Appl. Math. Comput., 2014

2013

On the efficiency of two variants of Kurchatov's method for solving nonlinear systems.

José Antonio Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón

Numer. Algorithms, 2013

A modification of the classic conditions of Newton-Kantorovich for Newton's method.

J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón

Math. Comput. Model., 2013

On Steffensen's method on Banach spaces.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco

J. Comput. Appl. Math., 2013

On the local convergence of Newton's method under generalized conditions of Kantorovich.

J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón

Appl. Math. Lett., 2013

2012

Majorizing sequences for Newton's method from initial value problems.

J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón

J. Comput. Appl. Math., 2012

Solving non-differentiable equations by a new one-point iterative method with memory.

J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón

J. Complex., 2012

Analysing the efficiency of some modifications of the secant method.

J. A. Ezquerro, Àngela Grau, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Miquel Noguera

Comput. Math. Appl., 2012

Improving the domain of starting points for secant-like methods.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez, A. I. Velasco

Appl. Math. Comput., 2012

A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type.

J. A. Ezquerro, Daniel González, Miguel Ángel Hernández-Verón

Appl. Math. Comput., 2012

2011

On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations.

J. A. Ezquerro, Miquel Grau-Sánchez, Àngela Grau, Miguel Ángel Hernández-Verón, Miquel Noguera, Natalia Romero Álvarez

J. Optim. Theory Appl., 2011

Solving nonlinear integral equations of Fredholm type with high order iterative methods.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Comput. Appl. Math., 2011

On the semilocal convergence of efficient Chebyshev-Secant-type methods.

Ioannis K. Argyros, J. A. Ezquerro, José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Saïd Hilout

J. Comput. Appl. Math., 2011

2010

Dynamics of a new family of iterative processes for quadratic polynomials.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Comput. Appl. Math., 2010

An extension of Gander's result for quadratic equations.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Comput. Appl. Math., 2010

Variants of a classic Traub's result.

J. A. Ezquerro, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Comput. Math. Appl., 2010

2009

An improvement of the region of accessibility of Chebyshev's method from Newton's method.

J. A. Ezquerro, Miguel Ángel Hernández-Verón

Math. Comput., 2009

An optimization of Chebyshev's method.

J. A. Ezquerro, Miguel Ángel Hernández-Verón

J. Complex., 2009

Toward a unified theory for third R-order iterative methods for operators with unbounded second derivative.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Appl. Math. Comput., 2009

Newton-type methods of high order and domains of semilocal and global convergence.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Appl. Math. Comput., 2009

2008

The Ulm method under mild differentiability conditions.

José Antonio Ezquerro, Miguel Ángel Hernández

Numerische Mathematik, 2008

A note on a modification of Moser's method.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

J. Complex., 2008

A modified Chebyshev's iterative method with at least sixth order of convergence.

Sergio Amat, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Appl. Math. Comput., 2008

2007

On the efficiency index of one-point iterative processes.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Numer. Algorithms, 2007

A generalization of the Kantorovich type assumptions for Halley's method.

J. A. Ezquerro, Miguel Ángel Hernández-Verón

Int. J. Comput. Math., 2007

Methods with prefixed order for approximating square roots with global and general convergence.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Appl. Math. Comput., 2007

Application of iterative processes of R-order at least three to operators with unbounded second derivative.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Appl. Math. Comput., 2007

2005

Solving a special case of conservative problems by Secant-like methods.

Miguel Ángel Hernández-Verón, M. Jóse Rubio, J. A. Ezquerro

Appl. Math. Comput., 2005

2004

High order algorithms for approximating nth roots.

Miguel Ángel Hernández-Verón, Natalia Romero Álvarez

Int. J. Comput. Math., 2004

2002

Solving a Boundary Value Problem by a Newton-Like Method.

J. A. Ezquerro, Miguel Ángel Hernández-Verón, M. A. Salanova

Int. J. Comput. Math., 2002

2001

An acceleration of Newton's method: Super-Halley method.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández

Appl. Math. Comput., 2001

2000

Newton's Method under Different Lipschitz Conditions.

José Manuel Gutiérrez Jiménez, Miguel Ángel Hernández

Proceedings of the Numerical Analysis and Its Applications, 2000

1999

A new type of recurrence relations for the secant method.

M. A. Hernández-Verón, M. Jóse Rubio

Int. J. Comput. Math., 1999

Indices of convexity and concavity. Application to Halley method.

Miguel Ángel Hernández-Verón, M. A. Salanova

Appl. Math. Comput., 1999

1998

Construction of iterative processes with high order of convergence.

José Antonio Ezquerro, Miguel Ángel Hernández, M. A. Salanova

Int. J. Comput. Math., 1998

Solving a nonlinear equation by a uniparametric family of iterative processes.

J. A. Ezquerro, J. M. Gutiérrez, Miguel Ángel Hernández

Int. J. Comput. Math., 1998

Chebyshev method and convexity.

Miguel Ángel Hernández, M. A. Salanova

Appl. Math. Comput., 1998

A construction procedure of iterative methods with cubical convergence II: Another convergence approach.

J. A. Ezquerro, J. M. Gutiérrez, M. A. Hernández-Verón

Appl. Math. Comput., 1998

1996

A family of chebyshev type methods in banach spaces.

M. A. Hernández-Verón, M. A. Salanova

Int. J. Comput. Math., 1996

A note on a family of newton type iterative processes.

J. A. Ezquerro, Miguel Ángel Hernández

Int. J. Comput. Math., 1996

1995

Accessibility Of Solutions By Newton's Method.

José M. Gutiérrez, Miguel Ángel Hernández, M. A. Salanova

Int. J. Comput. Math., 1995