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Listar Artículos Científicos WOS y SCOPUS por autor "Torregrosa, Juan Ramón"
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A new fourthorder family for solving nonlinear problems and its dynamics
Cordero, Alicia; Feng, Licheng; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 03/2015)In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourthorder of convergence is proved and a dynamical analysis on lowdegree polynomials is made ... 
CMMSE2019 meanbased iterative methods for solving nonlinear chemistry problems
Chicharro, Francisco Israel (1); Cordero, Alicia; Martínez, Tobias H. (1); Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 03/2020)The thirdorder iterative method designed by Weerakoon and Fernando includes the arithmetic mean of two functional evaluations in its expression. Replacing this arithmetic mean with different means, other iterative methods ... 
Generating RootFinder Iterative Methods of Second Order: Convergence and Stability
Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Axioms, 06/05/2019)In this paper, a simple family of onepoint iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing ... 
Impact on Stability by the Use of Memory in TraubType Schemes
Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus (1); Torregrosa, Juan Ramón (Mathematics, 02/2020)In this work, two Traubtype methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub's method, they have been designed using linear ... 
Meanbased iterative methods for solving nonlinear chemistry problems (November, 10.1007/S10910019010852, 2019)
Chicharro, Francisco Israel (1); Cordero, Alicia; Martínez, Tobias H. (1); Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 03/2020)The original version of this article unfortunately contained an error in title. Unintentionally, the special issue title was presented in addition to the article’s title. The correct title of the article should read as ... 
On the convergence of a damped Newtonlike method with modified right hand side vector
Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Applied Mathematics and Computation, 09/2015)We present a convergence analysis for a damped Newton like method with modified righthand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ... 
On the convergence of a Damped Secant method with modified righthand side vector
Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Applied Mathematics and Computation, 02/2015)We present a convergence analysis for a Damped Secant method with modified righthand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ... 
On the convergence of a higher order family of methods and its dynamics
Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 01/2017)In this paper, we present the study of the local convergence of a higherorder family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ... 
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory
Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus (1); Torregrosa, Juan Ramón (Applied Mathematics Letters, 06/2020)Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second order. ... 
Real qualitative behavior of a fourthorder family of iterative methods by using the convergence plane
Magreñán, Á. Alberto (1); Cordero, Alicia; Gutiérrez, José M; Torregrosa, Juan Ramón (Mathematics and Computers in Simulation, 11/2014)The real dynamics of a family of fourthorder iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ... 
Stability analysis of a parametric family of iterative methods for solving nonlinear models
Cordero, Alicia; Gutiérrez, José M; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Applied Mathematics and Computation, 07/2016)A oneparametric family of fourthorder iterative methods for solving nonlinear systems is presented, proving the fourthorder of convergence of all members in this family, except one of them whose order is five. The methods ... 
Stability and applicability of iterative methods with memory
Chicharro, Francisco Israel (1); Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 15/03/2019)Based on the thirdorder Traub’s method, two iterative schemes with memory are introduced. The proper inclusion of accelerating parameters allows the introduction of memory. Therefore, the order of convergence of the ... 
Stability study of eighthorder iterative methods for solving nonlinear equations
Cordero, Alicia; Magreñán, Á. Alberto (1); Quemada, Carlos; Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 01/2016)In this paper, we study the stability of the rational function associated to a known family of eighthorder iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the ... 
Study of a Biparametric Family of Iterative Methods
Campos, B; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón; Vindel, P (Abstract and Applied Analysis, 2014)The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the iterative methods and the wellknown ChebyshevHalley family. We find the ... 
Thirddegree anomalies of Traub's method
Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto (1); Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 01/2017)Traub’s method is a tough competitor of Newton’s scheme for solving nonlinear equations as well as nonlinear systems. Due to its thirdorder convergence and its low computational cost, it is a good procedure to be applied ...