[EN] From decomposition method for operators, we consider a Newton-Steffensen iterative scheme for approximating a solution of nonlinear Fredholm integral equations with non-differentiable Nemystkii operator. By means of ...
[EN] This study is devoted to solve the Chandrasekhar integral equation that it is used for modeling problems in theory of radiative transfer in a plane-parallel atmosphere, and others research areas like the kinetic theory ...
Amat, Sergio; Argyros, Ioannis K.; Busquier Saez, Sonia; Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia(Elsevier, 2018-12-01)
[EN] This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. The methods have high order of convergence but only using first order ...
Hernandez Verón, Miguel Angel; Martínez Molada, Eulalia(Springer Verlag (Germany), 2015-10)
[EN] In this paper the semilocal convergence for an alternative to the three steps Newton's method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned ...
Martínez Molada, Eulalia(Universitat Politècnica de València, 2009-06-19)
Muestra la transformación de un figura geométrica al realizar con los números complejos que la definen una de las siguientes operaciones, suma, producto por un número real, producto por un número complejo de módulo 1 ...
Martínez Molada, Eulalia(Universitat Politècnica de València, 2009-06-19)
Muestra las potencias de 0 hasta n de un número complejo dado, en el caso de n negativo se calculan las potencias de -n hasta 0.
El usuario puede variar el tipo de gráfica mediante vectores
o espiral, el número complejo ...
Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Editorial Universitat Politècnica de València, 2019-09-17)
Este libro presenta parte de las matemáticas básicas que se utilizan en las ciencias aplicadas y las ingenierías.
Es el fruto de la experiencia docente de los autores en la enseñanza del Matemáticas I en la Ingeniería ...
Martínez Molada, Eulalia(Universitat Politècnica de València, 2009-06-19)
Se calculan las n raíces n-ésimas de un número complejo dado, y
se representa el polígono regular que éstas definen.
El usuario puede variar el número complejo y el orden de la raíz a calcular.
Gupta, Dharmendra Kumar; Martínez Molada, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu(Walter de Gruyter GmbH, 2021-06-01)
[EN] The semilocal convergence using recurrence relations of a family of iterations for solving nonlinear equations in Banach spaces is established. It is done under the assumption that the second order Frechet derivative ...
The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition. The Holder condition ...
[EN] Semilocal convergence for an iteration of order five for solving nonlinear equations in Banach spaces is established under second-order Fr,chet derivative satisfying the Lipschitz condition. It is done by deriving a ...
Kumar, Abhimanyu; Gupta, D.K.; Martínez Molada, Eulalia; Hueso, José L.; Cevallos, Fabricio(R. Company, J. C. Cortés, L. Jódar and E. López-Navarro, 2019-07-12)
[EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Its semilocal convergence is
established using recurrence relations ...
Hueso Pagoaga, José Luís; Martínez Molada, Eulalia(Springer-Verlag, 2014)
[EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, ...
Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia; Teruel-Ferragud, Carles(Springer-Verlag, 2017)
[EN] In this paper, we analyze the semilocal convergence of k-steps Newton's method with frozen first derivative in Banach spaces. The method reaches order of convergence k + 1. By imposing only the assumption that the ...
[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the ...
Cordero Barbero, Alicia; Maimó, Javier G.; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(MDPI AG, 2021-09)
[EN] In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun's iterative method. This is an iterative method of fourth order, ...
Geiser, Jürgen; Martínez Molada, Eulalia; Hueso, Jose L.(MDPI AG, 2020-11)
[EN] The benefits and properties of iterative splitting methods, which are based on serial versions, have been studied in recent years, this work, we extend the iterative splitting methods to novel classes of parallel ...
[EN] In this work we focus on location and approximation of a solution of nonlinear integral equations of Hammerstein-type when the kernel is non-separable through a high order iterative process. For this purpose, we ...
In this paper, we present some learning objects for the study of Kepler’s laws that graphically show
the orbits and the movements of various planets. One of them shows the orbit of a planet from the point of view of
a ...
Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón(Elsevier, 2012-06)
[EN] In the present paper, by approximating the derivatives in the well known fourth-order Ostrowski's method and in a sixth-order improved Ostrowski's method by central-difference quotients, we obtain new modifications ...