Mostrando ítems 1-20 de 26

    • Ball convergence for eighth order method 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Consider the problem of approximating a locally unique solution x of the nonlinear equation F(x) = 0, (21.1) where F is a Fréchet-differentiable operator defined on a convex subset D of a Banach space X with values in a ...
    • Creating a Recommender System to Support Higher Education Students in the Subject Enrollment Decision 

      Fernández-García, Antonio Jesús (1); Rodríguez-Echeverría, Roberta; Preciado, Juan Carlos; Conejero Manzano, José María; Sánchez-Figueroa, Fernando (IEEE Access, 2020)
      Higher Education plays a principal role in the changing and complex world of today, and there has been rapid growth in the scientific literature dedicated to predicting students academic success or risk of dropout thanks ...
    • Directional newton methods and restricted domains 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Let F : D ⊂ ℝn → ℝ be a differentiable function. In computer graphics, we often need to compute and display the intersection C = A ⋂ B of two surfaces A and B in ℝ3 [5], [6]. If the two surfaces are explicitly given by A ...
    • Expanding kantorovich’s theorem for solving generalized equations 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x) + Q(x) ϶ 0, (22.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ...
    • Expanding the applicability of the gauss-newton method for convex optimization under restricted convergence domains and majorant conditions 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      n this chapter we are concerned with the convex composite optimizations problem. This work is mainly motivated by the work in [17,23].We present a convergence analysis of Gauss-Newton method (defined by Algorithm (GNA) in ...
    • Extending the kantorovich theory for solving equations 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Let X, Y be Banach spaces, D ⊂ X be convex, F : D ⊂ X → Y be a Fréchet differentiable operator. We shall determine a solution x of the equation F(x) = 0, Many problems from Applied Sciences can be solved finding the solutions ...
    • Gauss-newton method with applications to convex optimization 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we will study the convex composite optimizations problem.
    • Generalized equations and newton’s and method 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x)+Q(x) ϶ 0,(11.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ⟨., ...
    • Generalized newton method with applications 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we are interested in the approximately solving the generalized equation: Find x ∈ H such that 0 ∈ F(x) + T(x). (16.1) where F : H → H is a Fr→chet differentiable function, H is a Hilbert space and T : H ⇉ ...
    • Halley’s method 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we are concerned with the problem of approximating a locally unique solution x* of the nonlinear equation F(x) = 0, where F is twice Fréchet-differentiable operator defined on a nonempty open and convex ...
    • Inexact gauss-newton method for least square problems 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we are interested in locating a solution x of the nonlinear least squares problem: minG(x) := 1/2 F(x)TF(x), (8.1) where F is Fréchet-differentiable defined on ℝn with values in ℝm, m ≥ n.
    • Iterative methods and their dynamics with applications: A contemporary study 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (CRC Press, 2017)
      Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced ...
    • King-werner-like methods free of derivatives 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Recently, Argyros and Ren in [6] studied King-Werner-like methods for approximating a locally unique solution x of equation (formula presented).
    • King-Werner-type methods of order 1 + √2 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Iterative methods are used to generate a sequence of approximating a solution x of the nonlinear equation F(x) = 0, (10.1) where F is Fréchet-differentiable operator defined on a convex subset D of a Banach space X with ...
    • Lavrentiev Regularization methods for Ill-posed equations 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter, we consider the problem of approximately solving the nonlinear ill-posed operator equation of the form F(x) = y, (9.1) where F : D(F) ⊂ X → X is a monotone operator and X is a real Hilbert space. We denote ...
    • Local convergence and basins of attraction of a two-step Newton-like method for equations with solutions of multiplicity greater than one 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      Let S = ℝ or S = ℂ, D ⊆ S be convex and let F : D → S be a differentiable function. We shall approximate solutions x of the equation F(x) = 0, (5.1) Many problems from Applied Sciences including engineering can be solved ...
    • Mapping multispectral Digital Images using a Cloud Computing software: applications from UAV images 

      Saura, José Ramón; Reyes-Menéndez, Ana; Palos-Sánchez, Pedro R (1) (Heliyon, 02/2019)
      Due to technology development related to agricultural production, aircrafts such as the Unmanned Aerial Vehicle (UAV) and technologies such as Multispectral photogrammetry and Remote Sensing, have great potential in ...
    • Müller’s method 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we are concerned with approximating a solution of the equation f(x) = 0, (15.1) where f is defined on an open domain or closed domain D on a real space ℝ.
    • Newton-secant methods with values in a cone 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      We study the variational inclusion 0 ∈ F(x) + G(x) + E(x), (17.1) where X, Y are Banach space D ⊂ X is an open set F : D → Y is a smooth operator, G : D → Y is continuous operator, [., .;G] is a divided difference of order ...
    • Newton’s method for generalized equations using restricted domains 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      In this chapter we are concerned with the study of the generalized equation F(x)+Q(x) ϶ 0, where F : D → H is a nonlinear Fréchet differentiable defined on the open subset D of the Hilbert space H, and Q : H ⇉ H is set-valued ...