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Listar por palabra clave "Steffensen's method"

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Listar por palabra clave "Steffensen's method"

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    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 ...
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    An algorithm derivative-free to improve the steffensen-type methods 
    Hernández-Verón, Miguel A.; Yadav, Sonia; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (MDPI AG, 2022-01)
    [EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
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    Approximating Multiple Roots of Applied Mathematical Problems Using Iterative Techniques 
    Behl, Ramandeep; Arora, Himani; Martínez Molada, Eulalia; Singh, Tajinder (MDPI AG, 2023-03)
    [EN] In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that the ...
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    Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions 
    Arora, Himani; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Behl, Ramandeep; Alharbi, Sattam (MDPI AG, 2022-05)
    [EN] The construction of derivative-free iterative methods for approximating multiple roots of a nonlinear equation is a relatively new line of research. This paper presents a novel family of one-parameter second-order ...
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    Improving the accessibility of Steffensen s method by decomposition of operators 
    Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia (Elsevier, 2018)
    [EN] Solving equations of the form H(x) = 0 is usually done by applying iterative methods. The main interest of this paper is to improve the domain of starting points for Steffensen's method. In general, the accessibility ...
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    Steffensen type methods for solving nonlinear equations 
    Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2012-06)
    [EN] In the present paper, by approximating the derivatives in the well known fourth-order Ostrowski's method and in a sixth-order improved Ostrowski's method by central-difference quotients, we obtain new modifications ...