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Listar por autor "Torregrosa Sánchez, Juan Ramón"

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A class of four parametric with- and without memory root finding methods

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rafi, Aneeqa (John Wiley & Sons, 2019-03-15)

[EN] In this paper, we have constructed a derivative¿free weighted eighth¿order iterative method with and without memory for solving nonlinear equations. This method is an optimal method as it satisfies the Kung¿Traub ...
A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem

Andreu Estellés, Carlos; Cambil Teba, Noelia; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-04-01)

A derivative-free optimal eighth-order family of iterative methods for solving nonlinear equations is constructed using weight functions approach with divided first order differences. Its performance, along with several ...
A class of Steffensen type methods with optimal order of convergente

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2011-06-01)

In this paper, a family of Steffensen type methods of fourth-order convergence for solving nonlinear smooth equations is suggested. In the proposed methods, a linear combination of divided differences is used to get a ...
A convex combination approach for mean-based variants of Newton's method

Cordero Barbero, Alicia; Franceschi, Jonathan; Torregrosa Sánchez, Juan Ramón; Zagati, Anna C. (MDPI AG, 2019-09-02)

[EN] Several authors have designed variants of Newton¿s method for solving nonlinear equations by using different means. This technique involves a symmetry in the corresponding fixed-point operator. In this paper, some ...
A dynamical comparison between iterative methods with memory: Are the derivatives good for the memory?

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Torregrosa Sánchez, Juan Ramón (Elsevier, 2017)

[EN] The role of the derivatives at the iterative expression of methods with memory for solving nonlinear equations is analyzed in this manuscript. To get this aim, a known class of methods without memory is transformed ...
A family of derivative-free methods with high order of convergence and its application to nonsmooth equations

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Hindawi Publishing Corporation, 2012)

A family of derivative-free methods of seventh-order convergence for solving nonlinear equations is suggested. In the proposed methods, several linear combinations of divided differences are used in order to get a good ...
A family of iterative methods with accelerated eighth-order convergence

Cordero Barbero, Alicia; Fardi, Mojtaba; Ghasemi, Mehdi; Torregrosa Sánchez, Juan Ramón (Hindawi Publishing Corporation, 2012)

We propose a family of eighth-order iterative methods without memory for solving nonlinear equations. The new iterative methods are developed by using weight function method and using an approximation for the last derivative, ...
A family of Kurchatov-type methods and its stability

Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Haghani, F. Khaksar (Elsevier, 2017)

[EN] We present a parametric family of iterative methods with memory for solving of nonlinear problems including Kurchatov¿s scheme, preserving its second-order of convergence. By using the tools of multidimensional real ...
A family of modified Ostrowski's method with optimal eighth order of convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María Penkova (Elsevier, 2011-12)

In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function ...
A family of optimal fourth-order methods for multiple roots of nonlinear equations

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-09-30)

[EN] Newton-Raphson method has always remained as the widely used method for finding simple and multiple roots of nonlinear equations. In the past years, many new methods have been introduced for finding multiple zeros ...
A family of parametric schemes of arbitrary even order for solving nonlinear models

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P. (Springer-Verlag, 2017)

[EN] Many problems related to gas dynamics, heat transfer or chemical reactions are modeled by means of partial differential equations that usually are solved by using approximation techniques. When they are transformed ...
A family of seventh-order schemes for solving nonlinear systems

Abad Rodríguez, Manuel Francisco; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Société des Sciences Mathématiques de Roumanie, 2014)

[EN] This paper focuses on solving nonlinear systems numerically. We propose an efficient family of three-step iterative schemes with seventh-order of convergence. The proposed methods are obtained by using the weight ...
A fast algorithm to solve systems of nonlinear equations

Amiri, Abdolreza; Cordero Barbero, Alicia; Darvishi, M.T.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-07)

[EN] A new HSS-based algorithm for solving systems of nonlinear equations is presented and its semilocal convergence is proved. Spectral properties of the new method are investigated. Performance profile for the new scheme ...
A fractional Newton method with 2 alpha th-order of convergence and its stability

Akgül, Alí; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-12)

[EN] The use of fractional calculus in many branches of Science and Engineering is wide in the last years. There are different kinds of derivatives that can be useful in different problems. In this manuscript, we put the ...
A general class of arbitrary order iterative methods for computing generalized inverses

Cordero Barbero, Alicia; Soto-Quiros, Pablo; Torregrosa Sánchez, Juan Ramón (Elsevier, 2021-11-15)

[EN] A family of iterative schemes for approximating the inverse and generalized inverse of a complex matrix is designed, having arbitrary order of convergence p. For each p, a class of iterative schemes appears, for which ...
A general class of four parametric with and without memory iterative methods for nonlinear equations

Zafar, Fiza; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rafi, Aneeqa (Springer-Verlag, 2019-05)

[EN] In this paper, we have constructed a derivative-free weighted eighth-order iterative class of methods with and without-memory for solving nonlinear equations. These methods are optimal as they satisfy Kung-Traub's ...
A General Optimal Iterative Scheme with Arbitrary Order of Convergence

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2021-05)

[EN] A general optimal iterative method, for approximating the solution of nonlinear equations, of (n+1) steps with 2(n+1) order of convergence is presented. Cases n=0 and n=1 correspond to Newton's and Ostrowski's schemes, ...
A Hadamard product involving inverse-positive matrices

Gasso Matoses, María Teresa; Torregrosa Sánchez, Juan Ramón; Abad Rodríguez, Manuel Francisco (De Gruyter Open, 2015-08-05)

In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive ...
A highly efficient class of optimal fourth-order methods for solving nonlinear systems

Cordero Barbero, Alicia; Rojas-Hiciano, Renso V.; Torregrosa Sánchez, Juan Ramón; Vassileva, María P. (Springer-Verlag, 2024-04)

[EN] In this manuscript, we present a new class of highly efficient two-parameter optimal iterative methods for solving nonlinear systems that generalizes Ostrowski's method, King's Family, Chun's method, and KLAM Family ...
A multidimensional dynamical approach to iterative methods with memory

Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (Elsevier, 2015-11-15)

[EN] A dynamical approach on the dynamics of iterative methods with memory for solving nonlinear equations is made. We have designed new methods with memory from Steffensen’ or Traub’s schemes, as well as from a parametric ...