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Listar por autor "Torregrosa, Juan Ramón"

Mostrando ítems 21-29 de 29

    • Stability analysis of a parametric family of iterative methods for solving nonlinear models 

      Cordero, Alicia; Gutiérrez, José M; Magreñán, Á. Alberto ; Torregrosa, Juan Ramón (Applied Mathematics and Computation, 07/2016)
      A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order 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 ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 15/03/2019)
      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 ...

    • Stability study of eighth-order iterative methods for solving nonlinear equations 

      Cordero, Alicia; Magreñán, Á. Alberto ; 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 eighth-order 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 ; 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 well-known Chebyshev-Halley family. We find the ...

    • Suitable approximations for the self-accelerating parameters in iterative methods with memory 

      Chicharro, Francisco Israel; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (03/12/2020)
      Solving the nonlinear equation f(x)=0 is a common problem in several areas of Science and Engineering. Since exact solutions of the nonlinear equation are hardly available, scientists best rely on numerical solutions, such ...

    • Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory 

      Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Symmetry-Basel, 2022)
      In this paper, new tools for the dynamical analysis of iterative schemes with memory for solving nonlinear systems of equations are proposed. These tools are in concordance with those of the scalar case and provide interesting ...

    • Third-degree anomalies of Traub's method 

      Argyros, Ioannis K; Cordero, Alicia; Magreñán, Á. Alberto ; 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 third-order convergence and its low computational cost, it is a good procedure to be applied ...

    • Towards a better learning models through OCWs and MOOCs 

      Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, E.; Torregrosa, Juan Ramón (International Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI), 2015)
      echnological advances of XXth century have induced a profound change in society and, therefore, in the high education. Internet supposed a qualitative difference, as information and digital images flooded into homes around ...

    • Wide stability in a new family of optimal fourth-order iterative methods 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Blackwell Publishing Ltd, 2019)
      A new family of two-steps fourth-order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung-Traub conjecture and it is extended ...