Mostrando ítems 1-20 de 25

    • 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 ...
    • 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 ...
    • Newton’s method for k-Fréchet differentiable operators 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
      We determine a solution x of the equation F(x) = 0. where X and Y are Banach spaces, D ⊆ X a convex set and F : D → Y is a Fréchet-differentiable operator. In particular, we expand the applicability of the Newton’s method ...