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Listar por autor "Garrido, Neus"

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    • A new efficient parametric family of iterative methods for solving nonlinear systems 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Journal of Difference Equations and Applications, 18/09/2019)
      A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ...

    • Anomalies in the convergence of Traub-type methods with memory 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Blackwell Publishing Ltd, 2020)
      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 speed ...

    • Anomalies in the convergence of Traub‐type methods with memory 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Computational and Mathematical Methods, 06/08/2019)
      The stability analysis of a new family of iterative methods with memory isintroduced. This family, designed from Traub's method, allows to add memorythrough the introduction of an accelerating parameter. Hence, the speed ...

    • CMMSE: Family of fourth-order optimal classes for solving multiple-root nonlinear equations 

      Chicharro, Francisco Israel; Garrido, Neus; Jerezano, Julissa H.; Pérez-Palau, Daniel (Journal of Mathematical Chemistry, 2023)
      We present a new iterative procedure for solving nonlinear equations with multiple roots with high efficiency. Starting from the arithmetic mean of Newton’s and Chebysev’s methods, we generate a two-step scheme using weight ...

    • Design and Complex Dynamics of Potra–Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications 

      Chand, Prem Bahadur; Chicharro, Francisco Israel ; Garrido, Neus; Jain, Pankaj (MDPIMathematics, 11/10/2019)
      In this paper, using the idea of weight functions on the Potra–Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are ...

    • Escape Room: una metodología activa para la enseñanza en postgrado 

      Tejero, Blanca; Alarcón Martínez, Virginia; Garrido, Neus (Human Review. International Humanities Review / Revista Internacional de Humanidades, 2022)
      Ante la falta o disminución de la motivación de los alumnos universitarios la enseñanza, y con ello la Universidad se ve en la tesitura de poner en práctica nuevas metodologías más activas y motivantes que permitan a los ...

    • Family of Multiple-Root Finding Iterative Methods Based on Weight Functions 

      Chicharro, Francisco Israel ; Contreras, Rafael Andrés ; Garrido, Neus (MathematicsMDPI, 09/12/2020)
      A straightforward family of one-point multiple-root iterative methods is introduced. The family is generated using the technique of weight functions. The order of convergence of the family is determined in its convergence ...

    • Generalized High-Order Classes for Solving Nonlinear Systems and Their Applications 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (MDPIMathematics, 05/12/2019)
      A generalized high-order class for approximating the solution of nonlinear systems of equations is introduced. First, from a fourth-order iterative family for solving nonlinear equations, we propose an extension to nonlinear ...

    • Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Axioms, 06/05/2019)
      In this paper, a simple family of one-point 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 Traub-Type Schemes 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (Mathematics, 02/2020)
      In this work, two Traub-type 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 ...

    • Iterative schemes for finding all roots simultaneously of nonlinear equations 

      Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Applied Mathematics Letters, 2022)
      In this paper, we propose a procedure that can be added to any iterative scheme in order to turn it into an iterative method for approximating all roots simultaneously of any nonlinear equations. By applying this procedure ...

    • Memory in the iterative processes for nonlinear problems 

      Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón; Triguero-Navarro, Paula (Mathematical Methods in the Applied Sciences, 2023)
      In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by ...

    • On the choice of the best members of the Kim family and the improvement of its convergence 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan Ramón (Mathematical Methods in the Applied Sciences, 30/09/2020)
      The best members of the Kim family, in terms of stability, are obtained by using complex dynamics. From this elements, parametric iterative methods with memory are designed. A dynamical analysis of the methods with memory ...

    • On the effect of the multidimensional weight functions on the stability of iterative processes 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; Torregrosa, Juan Ramón (Journal of Computational and Applied Mathematics, 15/05/2022)
      In this work, we start from a family of iterative methods for solving nonlinear multidimensional problems, designed using the inclusion of a weight function on its iterative expression. A deep dynamical study of the family ...

    • On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory 

      Chicharro, Francisco Israel ; Cordero, Alicia; Garrido, Neus ; 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. ...

    • Predicción numérica e infografías en la recuperación ambiental de canteras de mármol 

      Alarcón Martínez, Virginia; Tejero, Blanca; Garrido, Neus (Revista Internacional de Tecnología, Ciencia y Sociedad, 2022)
      En la geografía Española, se encuentra un gran número de canteras de mármol abandonadas en las cuales no se han llevado a cabo ningún plan de restauración con la consiguiente degradación del medio que ello conlleva. Este ...

    • Problem-based learning proposal for teaching dynamical systems 

      Chicharro, Francisco Israel ; Garrido, Neus (Nova Science Publishers, Inc., 2020)
      Dynamic systems, in general, and discrete dynamic systems based on iterative methods, in particular, have several features that can be exploited: they can be performed by computation and there are graphical tools ready to ...

    • Semi-Automatic 3D Reconstruction of Atheroma Plaques from Intravascular Ultrasound Images Using an ad-hoc Algorithm 

      Martínez, Javier; Pérez-Palau, Daniel; Cilla, Myriam; Garrido, Neus; Larrañaga, Ane; Pérez-Rey, Ignacio (Mathematics, 2023)
      The occurrence of atheroma plaques in the arteries can eventually obstruct them, leading to diseases such as atherosclerosis, which can cause, among others, a myocardial infarction or a stroke. As a consequence, it is ...

    • 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 ...

    • 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 ...