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A contemporary study of iterative methods: Convergence, dynamics and applications
(Elsevier, 2018)
A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, ...
Complexity of an Homotopy Method at the Neighbourhood of a Zero
(Advances in iterative methods for nonlinear equations, 2016)
This paper deals with the enlargement of the region of convergence of Newton's method for solving nonlinear equations defined in Banach spaces. We have used an homotopy method to obtain approximate zeros of the considered ...
Secant-like methods
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we study the problem of finding a locally unique solution x of equation F(x) = 0, (13.1) where F is a Fréchet-differentiable operator defined on a convex subset D of a Banach space χ with values in a Banach ...
Gauss-newton 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.
Preface
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
Capítulo del libro "Iterative Methods and Their Dynamics with Applications"
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 ...
King-werner-like methods free of derivatives
(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).
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 ...
Sixth-order iterative methods
(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
We develop sixth-order iterative methods in order to approximate zeros x of the function f defined on the real line. This method can be used to solve many 64problems from computational sciences and other disciplines ...
King-Werner-type 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 Fréchet-differentiable operator defined on a convex subset D of a Banach space X with ...