Miguel Ángel Hernández-Verón

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Eva G. Villalba

Numer. Algorithms, October, 2024

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

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Nisha Yadav

Math. Model. Anal., February, 2024

A procedure to obtain quadratic convergence from the secant method.

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Alejandro Moysi

J. Comput. Appl. Math., 2024

On the existence and the approximation of solutions of Volterra integral equations of the second kind.

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Alejandro Moysi

Appl. Math. Comput., 2024

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

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[DOI]

Sonia Yadav

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Ajay Kumar

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R. P. Badoni

Appl. Math. Comput., November, 2023

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

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[DOI]

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Nisha Yadav

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Numer. Algorithms, May, 2023

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

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Alejandro Moysi

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

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

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Sonia Yadav

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Symmetry, 2022

Solving Wiener-Hopf problems via an efficient iterative scheme.

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J. Comput. Appl. Math., 2022

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

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J. Comput. Appl. Math., 2022

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

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J. Comput. Appl. Math., 2022

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

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J. Comput. Appl. Math., 2022

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

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J. Comput. Appl. Math., 2022

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

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J. Comput. Appl. Math., 2022

On the Chandrasekhar integral equation.

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Comput. Math. Methods, November, 2021

On an efficient modification of the Chebyshev method.

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Comput. Math. Methods, November, 2021

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

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José M. Gutiérrez

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Symmetry, 2021

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

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Sonia Yadav

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Appl. Math. Comput., 2021

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

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Dionisio F. Yáñez

J. Comput. Appl. Math., 2020

Nonlinear Fredholm integral equations and majorant functions.

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Numer. Algorithms, 2019

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

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J. Comput. Appl. Math., 2019

An acceleration of the continuous Newton's method.

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José M. Gutiérrez

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J. Comput. Appl. Math., 2019

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

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J. Comput. Appl. Math., 2019

Construction of simple majorizing sequences for iterative methods.

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Appl. Math. Lett., 2019

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

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Numer. Linear Algebra Appl., 2018

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

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J. Comput. Appl. Math., 2018

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

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J. Comput. Appl. Math., 2018

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

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J. Comput. Appl. Math., 2018

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

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J. Comput. Appl. Math., 2018

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

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Comput. Math. Appl., 2018

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

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Appl. Math. Lett., 2018

The majorant principle applied to Hammerstein integral equations.

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Appl. Math. Lett., 2018

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

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Carles Teruel

Numer. Algorithms, 2017

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

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Numer. Algorithms, 2017

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

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Comput. Methods Appl. Math., 2017

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

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Appl. Math. Comput., 2017

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

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Algorithms, 2017

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

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Algorithms, 2017

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

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Adv. Comput. Math., 2017

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

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Concepción Bermúdez

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J. Comput. Appl. Math., 2016

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

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J. Comput. Appl. Math., 2016

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

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J. Complex., 2016

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

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Appl. Math. Comput., 2016

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

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Numer. Linear Algebra Appl., 2015

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

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Numer. Algorithms, 2015

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

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Miquel Noguera

Numer. Algorithms, 2015

Directional Chebyshev-type methods for solving equations.

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Saïd Hilout

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Math. Comput., 2015

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

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Alicia Cordero

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Juan R. Torregrosa

J. Comput. Appl. Math., 2015

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

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J. Complex., 2015

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

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Appl. Math. Lett., 2015

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

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Appl. Math. Comput., 2015

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

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[DOI]

Alicia Cordero

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Juan R. Torregrosa

Appl. Math. Comput., 2015

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

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Algorithms, 2015

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

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Algorithms, 2015

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

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Numerische Mathematik, 2014

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

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Numer. Linear Algebra Appl., 2014

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

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Numer. Algorithms, 2014

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

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J. Complex., 2014

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

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Appl. Math. Comput., 2014

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

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Àngela Grau

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Numer. Algorithms, 2013

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

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Math. Comput. Model., 2013

On Steffensen's method on Banach spaces.

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J. Comput. Appl. Math., 2013

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

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Appl. Math. Lett., 2013

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

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J. Comput. Appl. Math., 2012

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

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J. Complex., 2012

Analysing the efficiency of some modifications of the secant method.

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Àngela Grau

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Miquel Noguera

Comput. Math. Appl., 2012

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

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Appl. Math. Comput., 2012

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

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Appl. Math. Comput., 2012

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

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Àngela Grau

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Miquel Noguera

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J. Optim. Theory Appl., 2011

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

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J. Comput. Appl. Math., 2011

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

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Saïd Hilout

J. Comput. Appl. Math., 2011

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

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J. Comput. Appl. Math., 2010

An extension of Gander's result for quadratic equations.

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J. Comput. Appl. Math., 2010

Variants of a classic Traub's result.

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Comput. Math. Appl., 2010

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

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Math. Comput., 2009

An optimization of Chebyshev's method.

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J. Complex., 2009

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

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Appl. Math. Comput., 2009

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

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Appl. Math. Comput., 2009

The Ulm method under mild differentiability conditions.

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Numerische Mathematik, 2008

A note on a modification of Moser's method.

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J. Complex., 2008

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

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Appl. Math. Comput., 2008

On the efficiency index of one-point iterative processes.

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Numer. Algorithms, 2007

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

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Int. J. Comput. Math., 2007

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

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Appl. Math. Comput., 2007

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

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Appl. Math. Comput., 2007

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

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Appl. Math. Comput., 2005

High order algorithms for approximating nth roots.

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Int. J. Comput. Math., 2004

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

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Int. J. Comput. Math., 2002

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

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Appl. Math. Comput., 2001

A new type of recurrence relations for the secant method.

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Int. J. Comput. Math., 1999

Indices of convexity and concavity. Application to Halley method.

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Appl. Math. Comput., 1999

Construction of iterative processes with high order of convergence.

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Int. J. Comput. Math., 1998

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

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J. M. Gutiérrez

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Int. J. Comput. Math., 1998

Chebyshev method and convexity.

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Appl. Math. Comput., 1998

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

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J. M. Gutiérrez

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Appl. Math. Comput., 1998

A family of chebyshev type methods in banach spaces.

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Int. J. Comput. Math., 1996

A note on a family of newton type iterative processes.

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Int. J. Comput. Math., 1996

Accessibility Of Solutions By Newton's Method.

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José M. Gutiérrez

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