Accessibility Of Solutions By Newton's Method. - José M. Gutiérrez 001; Miguel Ángel Hernández 001; M. A. Salanova (Int. J. Comput. Math., 1995)

A note on a family of newton type iterative processes. - J. A. Ezquerro; Miguel Ángel Hernández 001 (Int. J. Comput. Math., 1996)

A family of chebyshev type methods in banach spaces. - M. A. Hernández-Verón; M. A. Salanova (Int. J. Comput. Math., 1996)

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)

Chebyshev method and convexity. - Miguel Ángel Hernández 001; M. A. Salanova (Appl. Math. Comput., 1998)

Solving a nonlinear equation by a uniparametric family of iterative processes. - J. A. Ezquerro; J. M. Gutiérrez; Miguel Ángel Hernández 001 (Int. J. Comput. Math., 1998)

Construction of iterative processes with high order of convergence. - José Antonio Ezquerro; Miguel Ángel Hernández 001; M. A. Salanova (Int. J. Comput. Math., 1998)

Indices of convexity and concavity. Application to Halley method. - Miguel Ángel Hernández-Verón; M. A. Salanova (Appl. Math. Comput., 1999)

A new type of recurrence relations for the secant method. - M. A. Hernández-Verón; M. Jóse Rubio (Int. J. Comput. Math., 1999)

Newton's Method under Different Lipschitz Conditions. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández 001 (NAA, 2000)

An acceleration of Newton's method: Super-Halley method. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández 001 (Appl. Math. Comput., 2001)

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)

High order algorithms for approximating nth roots. - Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (Int. J. Comput. Math., 2004)

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)

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)

Methods with prefixed order for approximating square roots with global and general convergence. - Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (Appl. Math. Comput., 2007)

A generalization of the Kantorovich type assumptions for Halley's method. - J. A. Ezquerro; Miguel Ángel Hernández-Verón (Int. J. Comput. Math., 2007)

On the efficiency index of one-point iterative processes. - Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (Numer. Algorithms, 2007)

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)

A note on a modification of Moser's method. - José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (J. Complex., 2008)

The Ulm method under mild differentiability conditions. - José Antonio Ezquerro; Miguel Ángel Hernández 001 (Numerische Mathematik, 2008)

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)

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)

An optimization of Chebyshev's method. - J. A. Ezquerro; Miguel Ángel Hernández-Verón (J. Complex., 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)

Variants of a classic Traub's result. - J. A. Ezquerro; Miquel Grau-Sánchez; Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (Comput. Math. Appl., 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)

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)

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)

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 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)

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)

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)

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)

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)

Majorizing sequences for Newton's method from initial value problems. - J. A. Ezquerro; Daniel González; Miguel Ángel Hernández-Verón (J. Comput. Appl. Math., 2012)

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)

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)

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 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)

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)

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)

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)

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)

On a family of high-order iterative methods under gamma conditions with applications in denoising. - Sergio Amat; Miguel Ángel Hernández 001; Natalia Romero Álvarez (Numerische Mathematik, 2014)

On the Accessibility of Newton's Method under a Hölder Condition on the First Derivative. - José Antonio Ezquerro; Miguel Ángel Hernández-Verón (Algorithms, 2015)

On the Local Convergence of a Third Order Family of Iterative Processes. - M. A. Hernández-Verón; Natalia Romero Álvarez (Algorithms, 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)

An analysis of the semilocal convergence for secant-like methods. - José Antonio Ezquerro; M. A. Hernández-Verón; A. I. Velasco (Appl. Math. Comput., 2015)

How to improve the domain of parameters for Newton's method. - José Antonio Ezquerro; Miguel Ángel Hernández-Verón (Appl. Math. Lett., 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)

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)

Directional Chebyshev-type methods for solving equations. - Ioannis K. Argyros; Miguel Ángel Hernández-Verón; Saïd Hilout; Natalia Romero Álvarez (Math. Comput., 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)

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)

On a new family of high-order iterative methods for the matrix pth root. - Sergio Amat; J. A. Ezquerro; M. A. Hernández-Verón (Numer. Linear Algebra Appl., 2015)

On the ball of convergence of secant-like methods for non-differentiable operators. - M. A. Hernández-Verón; M. Jóse Rubio (Appl. Math. Comput., 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)

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)

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 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)

Expanding the Applicability of Some High Order Househölder-Like Methods. - Sergio Amat; Ioannis K. Argyros; Miguel Ángel Hernández 001; Natalia Romero Álvarez (Algorithms, 2017)

On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich's Technique. - José Antonio Ezquerro; Miguel Ángel Hernández-Verón (Algorithms, 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 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)

Convergence of Steffensen's method for non-differentiable operators. - Ioannis K. Argyros; M. A. Hernández-Verón; M. Jóse Rubio (Numer. Algorithms, 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)

The majorant principle applied to Hammerstein integral equations. - J. A. Ezquerro; M. A. Hernández-Verón (Appl. Math. Lett., 2018)

Domains of global convergence for Newton's method from auxiliary points. - J. A. Ezquerro; M. A. Hernández-Verón (Appl. Math. Lett., 2018)

Existence, localization and approximation of solution of symmetric algebraic Riccati equations. - M. A. Hernández-Verón; Natalia Romero Álvarez (Comput. Math. Appl., 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)

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)

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)

Improving the accessibility of Steffensen's method by decomposition of operators. - M. A. Hernández-Verón; Eulalia Martínez (J. Comput. Appl. Math., 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)

Construction of simple majorizing sequences for iterative methods. - J. A. Ezquerro; M. A. Hernández-Verón (Appl. Math. Lett., 2019)

Auxiliary point on the semilocal convergence of Newton's method. - J. A. Ezquerro; M. A. Hernández-Verón (J. Comput. Appl. Math., 2019)

An acceleration of the continuous Newton's method. - José M. Gutiérrez 001; M. A. Hernández-Verón (J. Comput. Appl. Math., 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)

Nonlinear Fredholm integral equations and majorant functions. - J. A. Ezquerro; M. A. Hernández-Verón (Numer. Algorithms, 2019)

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)

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)

An Ulm-Type Inverse-Free Iterative Scheme for Fredholm Integral Equations of Second Kind. - José M. Gutiérrez 001; Miguel Ángel Hernández-Verón (Symmetry, 2021)

On an efficient modification of the Chebyshev method. - José Antonio Ezquerro; Miguel Ángel Hernández-Verón; Ángel Alberto Magreñán (Comput. Math. Methods, 2021)

On the Chandrasekhar integral equation. - Miguel Ángel Hernández-Verón; Eulalia Martínez; Sukhjit Singh (Comput. Math. Methods, 2021)

A new concept of convergence for iterative methods: Restricted global convergence. - J. A. Ezquerro; M. A. Hernández-Verón (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 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)

Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials. - M. A. Hernández-Verón; Eulalia Martínez (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)

Solving Wiener-Hopf problems via an efficient iterative scheme. - Miguel Ángel Hernández-Verón; Natalia Romero Álvarez (J. Comput. Appl. Math., 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)

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., 2023)

Kurchatov-type methods for non-differentiable Hammerstein-type integral equations. - M. A. Hernández-Verón; Nisha Yadav; Eulalia Martínez; Sukhjit Singh (Numer. Algorithms, 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., 2023)

On the existence and the approximation of solutions of Volterra integral equations of the second kind. - J. A. Ezquerro; M. A. Hernández-Verón; Ángel Alberto Magreñán; Alejandro Moysi (Appl. Math. Comput., 2024)

A procedure to obtain quadratic convergence from the secant method. - J. A. Ezquerro; M. A. Hernández-Verón; Ángel Alberto Magreñán; Alejandro Moysi (J. Comput. Appl. Math., 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., 2024)

Solving non-differentiable Hammerstein integral equations via first-order divided differences. - M. A. Hernández-Verón; Ángel Alberto Magreñán; Eulalia Martínez; Eva G. Villalba (Numer. Algorithms, 2024)

Using Chebyshev's polynomials for solving Fredholm integral equations of the second kind. - José Antonio Ezquerro; Miguel Ángel Hernández-Verón (Math. Model. Anal., 2025)