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Browsing by Subject "Order of convergence"

Now showing items 21-26 of 26

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

Amat, Sergio; Argyros, Ioannis K.; Busquier Saez, Sonia; Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia (Elsevier, 2018-12-01)

[EN] This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. The methods have high order of convergence but only using first order ...
On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

Hernandez Verón, Miguel Angel; Martínez Molada, Eulalia (Springer Verlag (Germany), 2015-10)

[EN] In this paper the semilocal convergence for an alternative to the three steps Newton's method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned ...
One-point Newton-type iterative methods: A unified point of view

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02)

In this paper, a unified point of view that includes the most of one-point Newton-type iterative methods for solving nonlinear equations is introduced. A simple idea to design iterative methods with quadratic or cubic ...
Preserving the order of convergence: Low-complexity Jacobian-free iterative schemes for solving nonlinear systems

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018-08-01)

[EN] In this paper, a new technique to construct a family of divided differences for designing derivative-free iterative methods for solving nonlinear systems is proposed. By using these divided differences any kind of ...
Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems

Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia; Teruel-Ferragud, Carles (Springer-Verlag, 2017)

[EN] In this paper, we analyze the semilocal convergence of k-steps Newton's method with frozen first derivative in Banach spaces. The method reaches order of convergence k + 1. By imposing only the assumption that the ...
Study of iterative methods though the Cayley quadratic test

Babajee, D.K.R.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2016)

[EN] Many iterative methods for solving nonlinear equations have been developed recently. The main advantage claimed by their authors is the improvement of the order of convergence. In this work, we compare their dynamical ...

Now showing items 21-26 of 26

Browsing by Subject "Order of convergence"

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Browsing by Subject "Order of convergence"