Now showing items 1-11 of 11

    • A family of iterative methods that uses divided differences of first and second orders 

      Ezquerro, José Antonio; Grau Sánchez, Miguel; Hernández Verón, Miguel Angel; Noguera Batlle, Miquel (2015-11-01)
      Article
      Open Access
      The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217, 9592-9597 (2011)) is extended to solve systems of nonlinear equations. This extension uses multidimensional divided ...
    • A study of optimization for Steffensen-type methods with frozen divided differences 

      Ezquerro, José Antonio; Grau Sánchez, Miguel; Hernández Verón, Miguel Àngel; Noguera Batlle, Miquel (Springer, 2015-10-16)
      Article
      Open Access
      A local convergence analysis for a generalization of a family of Ste ensen-type iterative methods with three frozen steps is presented for solving nonlinear equations. From the use of three classical divided di erence ...
    • A technique to composite a modified Newton's method for solving nonlinear equations 

      Grau Sánchez, Miguel; Díaz Barrero, José Luis (2011-05-02)
      Research report
      Open Access
      A zero-finding technique for solving nonlinear equations more efficiently than they usually are with traditional iterative methods in which the order of convergence is improved is presented. The key idea in deriving this ...
    • An improvement of Ostrowski root-finding method 

      Grau Sánchez, Miguel; Díaz Barrero, José Luis (2006-02)
      Article
      Restricted access - publisher's policy
      An improvement to the iterative method based on the Ostrowski one to compute nonlinear equation solutions, which increases the local order of convergence is suggested. The adaptation of a strategy presented here gives a ...
    • Càlcul numèric : teoria i pràctica 

      Grau Sánchez, Miguel; Noguera Batlle, Miquel (Edicions UPC, 2000)
      Book
      Restricted access to the UPC academic community
      Aquest llibre és un intent de posar a l'abast dels estudiants d'un primer cicle universitari d'estudis científics o tècnics els mètodes numèrics més adients als problemes que es tracten actualment, així com un anar aprenent ...
    • Cálculo numérico 

      Grau Sánchez, Miguel; Noguera Batlle, Miquel (Edicions UPC, 2001)
      Book
      Restricted access to the UPC academic community
      El objetivo principal de esta obra es ofrecer una introducción al análisis numérico mediante el repaso de muchas de las herramientas que en él se utilizan. Fundamentalmente aborda los temas siguientes: errores, interpolación ...
    • Dynamical behavior of asteroids near resonance: the 4:1 gap and the 7:2 group 

      Grau Sánchez, Miguel; González Casado, Guillermo (1999-08)
      Article
      Restricted access - publisher's policy
      A comparative study of the evolution of the Sun–Jupiter–Asteroid system near the 4:1 and 7:2 resonances is performed by means of two techniques that proceed differently from the Hamiltonian corresponding to the planar ...
    • Estudi de la transformació de l'espai de color RGB a l'espai de color HSV 

      Grau Gotés, Maria Àngela; Grau Sánchez, Miguel; Montseny Masip, Eduard; Sobrevilla Frisón, Pilar (2008-09-26)
      Research report
      Open Access
      S’apliquen les tècniques clàssiques de propagació de l’error a la transformació de l’espai de color RGB en l’espai de color HSV a un conjunt de 1098 imatges test. El conjunt d’imatges test són 183 paletes de color i sis ...
    • Note on the efficiency of some iterative methods for solving nonlinear equations 

      Grau Sánchez, Miguel; Noguera Batlle, Miquel; Díaz Barrero, José Luis (2015-11-02)
      Article
      Open Access
      The e ciency of algorithms for solving nonlinear equations is a measure of comparison between di erent iterative methods. In the case of scalar equations two parameters are considered as it is well-known, but frequently ...
    • On a Moser-Steffensen type method for nonlinear systems of equations 

      Amat Plata, Sergio; Grau Sánchez, Miguel; Hernández Verón, Miguel Angel; Rubio, María Jesús (2016-12)
      Article
      Open Access
      This paper is devoted to the construction and analysis of a Moser–Steffensen iterative scheme. The method has quadratic convergence without evaluating any derivative nor inverse operator. We present a complete study of the ...
    • On computational order of convergence of some multi-precision solvers of nonlinear systems of equations 

      Grau Sánchez, Miguel; Grau Gotés, Maria Àngela; Díaz Barrero, José Luis (2011-05-02)
      Research report
      Open Access
      In this paper the local order of convergence used in iterative methods to solve nonlinear systems of equations is revisited, where shorter alternative analytic proofs of the order based on developments of multilineal ...