Listar por tema "computer science"
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Ball convergence for eighth order method
(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 Fréchetdifferentiable operator defined on a convex subset D of a Banach space X with values in a ... 
Directional newton methods and restricted domains
(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
(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 gaussnewton method for convex optimization under restricted convergence domains and majorant conditions
(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 GaussNewton method (defined by Algorithm (GNA) in ... 
Extending the kantorovich theory for solving equations
(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 ... 
Gaussnewton method with applications to convex optimization
(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
(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
(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
(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 Fréchetdifferentiable operator defined on a nonempty open and convex ... 
Inexact gaussnewton method for least square problems
(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 Fréchetdifferentiable defined on ℝn with values in ℝm, m ≥ n. 
Iterative methods and their dynamics with applications: A contemporary study
(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 ... 
Kingwernerlike methods free of derivatives
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)Recently, Argyros and Ren in [6] studied KingWernerlike methods for approximating a locally unique solution x of equation (formula presented). 
KingWernertype methods of order 1 + √2
(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 Fréchetdifferentiable operator defined on a convex subset D of a Banach space X with ... 
Lavrentiev Regularization methods for Illposed equations
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)In this chapter, we consider the problem of approximately solving the nonlinear illposed 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 twostep Newtonlike method for equations with solutions of multiplicity greater than one
(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
(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
(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. 
Newtonsecant methods with values in a cone
(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
(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 setvalued ... 
Newton’s method for kFréchet differentiable operators
(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 Fréchetdifferentiable operator. In particular, we expand the applicability of the Newton’s method ...