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Listar por palabra clave "Nonlinear equation"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Nonlinear equation"

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    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 ...
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    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, ...
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    A new higher-order optimal derivative free scheme for multiple roots 
    Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2022-04)
    [EN] In this paper, we presented a novel and efficient fourth order derivative free optimal family of iterative methods for approximating the multiple roots of nonlinear equations. Initially the convergence analysis is ...
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    A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve 
    Kanwar, Vinay; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Rajput, Mithil; Behl, Ramandeep (MDPI AG, 2023-03)
    [EN] In this paper, we present a new third-order family of iterative methods in order to compute the multiple roots of nonlinear equations when the multiplicity (m >= 1) is known in advance. There is a plethora of third-order ...
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    An efficient two-parametric family with memory for nonlinear equations 
    Cordero Barbero, Alicia; Lotfi, T.; Bakhtiari, P.; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2015-02)
    A new two-parametric family of derivative-free iterative methods for solving nonlinear equations is presented. First, a new biparametric family without memory of optimal order four is proposed. The improvement of the ...
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    Anomalies in the convergence of Traub-type methods with memory 
    Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (John Wiley & Sons, 2020-01-12)
    [EN] The stability analysis of a new family of iterative methods with memory is introduced. This family, designed from Traub's method, allows to add memory through the introduction of an accelerating parameter. Hence, the ...
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    Choosing the most stable members of Kou's family of iterative methods 
    Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2018)
    [EN] In this manuscript, we analyze the dynamical anomalies of a parametric family of iterative schemes designed by Kou et al. It is known that its order of convergence is three for any arbitrary value of the parameter, ...
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    Complex dynamics of derivative-free methods for nonlinear equations 
    Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Gutiérrez, José M.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-02-15)
    The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...
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    Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations 
    Cordero Barbero, Alicia; Ledesma, Arleen; Maimó, Javier G.; Torregrosa Sánchez, Juan Ramón (American Institute of Mathematical Sciences, 2024-02-28)
    [EN] In this paper, a new fourth-order family of iterative schemes for solving nonlinear equations has been proposed. This class is parameter-dependent and its numerical performance depends on the value of this free ...
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    Dynamical analysis of an iterative method with memory on a family of third-degree polynomials 
    Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (American Institute of Mathematical Sciences, 2022)
    [EN] Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we ...
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    Fixed point root-finding methods of fourth-order of convergence 
    Cordero Barbero, Alicia; Guasp, Lucia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-06-06)
    [EN] In this manuscript, by using the weight-function technique, a new class of iterative methods for solving nonlinear problems is constructed, which includes many known schemes that can be obtained by choosing different ...
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    Increasing the convergence order of an iterative method for nonlinear systems 
    Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2012-12)
    In this work we introduce a technique for solving nonlinear systems that improves the order of convergence of any given iterative method which uses the Newton iteration as a predictor. The main idea is to compose a given ...
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    Low-complexity root-finding iteration functions with no derivatives of any order of convergence 
    Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2015-02)
    In this paper, a procedure to design Steffensen-type methods of different orders for solving nonlinear equations is suggested. By using a particular divided difference of first order we can transform many iterative methods ...
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    On the Chandrasekhar integral equation 
    Hernández-Verón, Miguel A.; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2021-11)
    [EN] This study is devoted to solve the Chandrasekhar integral equation that it is used for modeling problems in theory of radiative transfer in a plane-parallel atmosphere, and others research areas like the kinetic theory ...
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    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 ...
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    Solving nonlinear problems by Ostrowski Chun type parametric families 
    Cordero Barbero, Alicia; Maimo, J.G.; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P. (Springer Verlag (Germany), 2015-01)
    In this paper, by using a generalization of Ostrowski' and Chun's methods two bi-parametric families of predictor-corrector iterative schemes, with order of convergence four for solving system of nonlinear equations, are ...
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    Stability and applicability of iterative methods with memory 
    Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (Springer-Verlag, 2019-05)
    [EN] Based on the third-order 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 ...
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    Three-step iterative weight function scheme with memory for solving nonlinear problems 
    Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (John Wiley & Sons, 2023-07)
    [EN] In this manuscript, we present a parametric family of derivative-free three-step iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric ...
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    Two optimal general classes of iterative methods with eighth-order 
    Cordero Barbero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa Sánchez, Juan Ramón (Springer Verlag (Germany), 2014-12)
    Two new three-step classes of optimal iterative methods to approximate simple roots of nonlinear equations, satisfying the Kung-Traub's conjecture, are designed. The development of the methods and their convergence analysis ...
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    Two weighted-order classes of iterative root-finding methods 
    Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, M.P. (Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2015-09-02)
    In this paper we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the ...