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Listar por autor "García Villalba, Eva"

Mostrando ítems 1-7 de 7

Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems

Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2021-01-03)

[EN] A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical ...
Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities

Campos, Beatriz; Garcia-Villalba, Eva; Vindel, Pura (Springer-Verlag, 2024-06)

[EN] The aim of this paper is the study of the robustness of classical methods defined for finding multiple roots with single multiplicity m when they are used for approximating different roots of a function having different ...
Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device

Villalba, Eva G.; Hueso, José L.; Martínez Molada, Eulalia (Taylor & Francis, 2023-09-02)

[EN] It is well known that the Steffensen-type methods approximate the derivative appearing in Newton's scheme by means of the first-order divided difference operator. The generalized multistep Steffensen iterative method ...
Introducing memory to a family of multi-step multidimensional iterative methods with weight function

Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (Elsevier GmbH, 2023-06)

[EN] In this paper, we construct a derivative-free multi-step iterative scheme based on Steffensen's method. To avoid excessively increasing the number of functional evaluations and, at the same time, to increase the order ...
Métodos iterativos libres de derivadas para la resolución de ecuaciones y sistemas de ecuaciones no lineales.

García Villalba, Eva (Universitat Politècnica de València, 2024-06-03)

[ES] Dentro del campo del Análisis Numérico, la resolución de ecuaciones y sistemas de ecuaciones no lineales es uno de los aspectos más relevantes y estudiados. Esto se debe a que gran cantidad de problemas de Matemática ...
Solving non-differentiable Hammerstein integral equations via first-order divided differences

Hernández-Verón, M. A.; Magreñán, A. A.; Martínez Molada, Eulalia; Villalba, Eva G. (Springer-Verlag, 2023-12)

[EN] In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space C([alpha,beta]) as alternatives against the well-known Newton's method ...
Using decomposition of the nonlinear operator for solving non-differentiable problems

Villalba, Eva G.; Hernandez, Miguel; Hueso, José L.; Martínez Molada, Eulalia (John Wiley & Sons, 2023-06-04)

[EN] Starting from the decomposition method for operators, we consider Newton-like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic ...