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Mostrando ítems 111-120 de 149
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 ...
Osada method
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter the applicability of the Osada method for solving nonlinear equations is extended. Moreover, some examples are also presented illuminating the theoretical results.
Use of flip learning to teach graphs theory in higher education
(ICERI Proceedings, 2019)
The objective of this study is to assess the opinions of the fourth year students of the subject of Graphs, Models and Applications of the degree of Computer Engineering, at the Universitat Politecnica de Valencia (UPV), ...
Newton-secant 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 ...
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 ...
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 ⟨., ...
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 Fréchet-differentiable operator defined on a nonempty open and convex ...
Toward a general theory of point to point iterative processes free of derivatives with quadratic convergence
(AIP Conference Proceedings, 2018)
In this work, we are concerned with the problem of developing a general theory about derivative-free iterative procedures with quadratic convergence. Newton's method is the most used, well-known and studied in order to ...
On a Newton-type family of high-order iterative methods for some matrix functions
(AIP Conference Proceedings, 2018)
The main goal of this paper is to approximate some matrix functions by using a family of high-order Newton-type iterative methods. We analyse the semilocal convergence and the speed of convergence of these methods. Concerning ...
Local convergence and basins of attraction of a two-step Newton-like 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 ...