Search Results - "Ezquerro, J. A."

An Improvement of the Region of Accessibility of Chebyshev's Method from Newton's Method by Ezquerro, J. A., Hernández, M. A.

“…A simple modification of Chebyshev's method is presented, so that the region of accessibility is extended to the one of Newton's method…”
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On the semilocal convergence of efficient Chebyshev–Secant-type methods by Argyros, I.K., Ezquerro, J.A., Gutiérrez, J.M., Hernández, M.A., Hilout, S.

“…We introduce a three-step Chebyshev–Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide…”
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On the R-order of the Halley method by Ezquerro, J.A., Hernández, M.A.

“…An R-order bound for the Halley method is obtained in this work, where an analysis of the convergence of the method is also presented under mild…”
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On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations by Ezquerro, J. A., Grau-Sánchez, M., Grau, A., Hernández, M. A., Noguera, M., Romero, N.

“…We present a modified method for solving nonlinear systems of equations with order of convergence higher than other competitive methods. We generalize also the…”
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On a new family of high-order iterative methods for the matrix pth root by Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

“…Summary The main goal of this paper is to approximate the principal pth root of a matrix by using a family of high‐order iterative methods. We analyse the…”
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Approximation of inverse operators by a new family of high-order iterative methods by Amat, S., Ezquerro, J. A., Hernández-Verón, M. A.

“…SUMMARYThe main goal of this paper is to approximate inverse operators by high‐order Newton‐type methods with the important feature of not using inverse…”
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On Halley-type iterations with free second derivative by Ezquerro, J.A., Hernández, M.A.

“…In this paper, we relax the convergence conditions required in Ezquerro and Hernández (Int. J. Pure Appl. Math. 6(1) (2003) 103) for a multipoint third-order…”
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On the R-order of convergence of Newton's method under mild differentiability conditions by Ezquerro, J.A., Hernández, M.A.

“…A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions…”
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How to Improve the Domain of Starting Points for Steffensen's Method by Ezquerro, J. A., Hernández-Verón, M. A.

“…We analyze the semilocal convergence of Steffensen's method, using a novel technique, which is based on recurrence relations, for solving systems of nonlinear…”
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Nonlinear Fredholm integral equations and majorant functions by Ezquerro, J. A., Hernández-Verón, M. A.

“…From the majorant principle of Kantorovich and the theoretical significance of Newton’s method, we obtain domains of existence and uniqueness of solution for…”
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Generalized differentiability conditions for Newton's method by Ezquerro, J. A., Hernández, M. A.

“…The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alternative technique to majorizing sequences is provided in…”
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Solving a special case of conservative problems by Secant-like methods by Hernández, M.A., Rubio, M.J., Ezquerro, J.A.

“…We study a class of Secant-like iterations for solving nonlinear equations in Banach spaces. A semilocal convergence result is obtained, where the first order…”
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How to Increase the Accessibility of Newton's Method for Operators With Center-Lipschitz Continuous First Derivative by Ezquerro, J. A., Hernández-Verón, M. A., Magreñán, Á. A.

“…As accessibility of Newton's method is very restrictive under a center-Lipschitz condition for the first derivative of the operator involved, we construct a…”
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New iterations of R-order four with reduced computational cost by Ezquerro, J. A., Hernández, M. A.

“…From a one-point iterative method of R -order at least three, we construct new two-point iterations to solve nonlinear equations in Banach spaces such that the…”
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Location of Solutions of Fredholm–Nemytskii Integral Equations from a Whittaker-Type Operator by Ezquerro, J. A., Hernández-Verón, M. A.

“…We analyse the global convergence of a Whittaker-type iterative method and obtain restricted global convergence domains, so that we can locate and separate…”
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On some one-point hybrid iterative methods by Ezquerro, J.A., Hernández, M.A., Romero, N.

“…When we choose an iterative process for solving a nonlinear equation, the region of accessibility of the iterative process is certainly useful. We know that…”
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Secant-like methods for solving nonlinear integral equations of the Hammerstein type by Hernández, M.A., Rubio, M.J., Ezquerro, J.A.

“…We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for…”
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A study of the influence of center conditions on the domain of parameters of Newton’s method by using recurrence relations by Ezquerro, J. A., Hernández-Verón, M. A.

“…This paper focuses on the importance of center conditions on the first derivative of the operator involved in the solution of nonlinear equations by Newton’s…”
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Newton-type methods of high order and domains of semilocal and global convergence by Ezquerro, J.A., Hernández, M.A., Romero, N.

“…We present the geometric construction of some classical iterative methods that have global convergence and “infinite” speed of convergence when they are…”
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Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains by Argyros, I. K., Ezquerro, J. A., Hernández-Verón, M. A., Magreñán, Á. A.

“…We present new sufficient convergence conditions for the semilocal convergence of Newton’s method to a locally unique solution of a nonlinear equation in a…”
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