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An hybrid method that improves the accessibility of Steffensen’s method

Numerical algorithms, 2014-06, Vol.66 (2), p.241-267

2014

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On the R-order of convergence of Newton's method under mild differentiability conditions

Journal of computational and applied mathematics, 2006-12, Vol.197 (1), p.53-61

2006

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

Applied mathematics and computation, 2024-10, Vol.478, p.128829, Article 128829

2024

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Location, separation and approximation of solutions of nonlinear Hammerstein-type integral equations

Applied numerical mathematics, 2024-04, Vol.198, p.1-10

2024

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

Journal of computational and applied mathematics, 2022-05, Vol.405, p.113051, Article 113051

2022

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A procedure to obtain quadratic convergence from the secant method

Journal of computational and applied mathematics, 2024-10, Vol.448, p.115912, Article 115912

2024

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Domains of global convergence for Newton’s method from auxiliary points

Applied mathematics letters, 2018-11, Vol.85, p.48-56

2018

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A significant improvement of a family of secant-type methods

Journal of computational and applied mathematics, 2023-05, Vol.424, p.115002, Article 115002

2023

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On global convergence for an efficient third-order iterative process

Journal of computational and applied mathematics, 2022-04, Vol.404, p.113417, Article 113417

2022

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On an Incremental Version of the Chebyshev Method for the Matrix $P$-Th Root

Journal of computational mathematics, 2024-09

2024

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Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

Applied numerical mathematics, 2019-12, Vol.146, p.452-468

2019

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Auxiliary point on the semilocal convergence of Newton’s method

Journal of computational and applied mathematics, 2019-07, Vol.354, p.198-212

2019

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Construction of simple majorizing sequences for iterative methods

Applied mathematics letters, 2019-12, Vol.98, p.149-156

2019

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

Applied mathematics and computation, 2015-01, Vol.251, p.396-403

2015

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The majorant principle applied to Hammerstein integral equations

Applied mathematics letters, 2018-01, Vol.75, p.50-58

2018

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On Steffensen’s method on Banach spaces

Journal of computational and applied mathematics, 2013-09, Vol.249, p.9-23

2013

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

Journal of computational and applied mathematics, 2018-03, Vol.330, p.721-731

2018

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How to improve the domain of parameters for Newton’s method

Applied mathematics letters, 2015-10, Vol.48, p.91-101

2015

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An Ulm-type method with -order of convergence three

Nonlinear analysis: real world applications, 2012-02, Vol.13 (1), p.14-26

2012

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Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations

Journal of mathematical analysis and applications, 2013-02, Vol.398 (1), p.100-112

2013

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Increasing the applicability of Steffensen's method

Journal of mathematical analysis and applications, 2014-10, Vol.418 (2), p.1062-1073

2014

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An analysis of the semilocal convergence for secant-like methods

Applied mathematics and computation, 2015-09, Vol.266, p.883-892

2015

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

Journal of computational and applied mathematics, 2018-10, Vol.340, p.1-10

2018

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

Journal of computational and applied mathematics, 2011-03, Vol.235 (10), p.3195-3206

2011

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Majorizing sequences for Newton’s method from initial value problems

Journal of computational and applied mathematics, 2012-03, Vol.236 (9), p.2246-2258

2012

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An hybrid method that improves the accessibility of Steffensen’s method

On the R-order of convergence of Newton's method under mild differentiability conditions

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

Location, separation and approximation of solutions of nonlinear Hammerstein-type integral equations

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

A procedure to obtain quadratic convergence from the secant method

Domains of global convergence for Newton’s method from auxiliary points

A significant improvement of a family of secant-type methods

On global convergence for an efficient third-order iterative process

On an Incremental Version of the Chebyshev Method for the Matrix $P$-Th Root

Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

Auxiliary point on the semilocal convergence of Newton’s method

Construction of simple majorizing sequences for iterative methods

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

The majorant principle applied to Hammerstein integral equations

On Steffensen’s method on Banach spaces

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

How to improve the domain of parameters for Newton’s method

An Ulm-type method with -order of convergence three

Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations

Increasing the applicability of Steffensen's method

An analysis of the semilocal convergence for secant-like methods

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

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

Majorizing sequences for Newton’s method from initial value problems

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