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Listar por autor "Martínez Molada, Eulalia"

Mostrando ítems 21-40 de 81

Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

Kumar, Abhimanyu; Gupta, D. K.; Martínez Molada, Eulalia; Hueso, José L. (Springer-Verlag, 2021-03)

[EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using ...
Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces

Kumar, A.; Gupta, D.K.; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2018)

[EN] Thesemilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the ...
Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces

Singh, Sukhjit; Gupta, D.K.; Singh, R.; Singh, M.; Martínez Molada, Eulalia (World Scientific, 2018)

[EN] The convergence analysis both local under weaker Argyros-type conditions and semilocal under. omega-condition is established using first order Frechet derivative for an iteration of fifth order in Banach spaces. This ...
Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear system

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles (Elsevier, 2015-02)

[EN] In this work we present a new family of iterative methods for solving nonlinear systems that are optimal in the sense of Kung and Traub’s conjecture for the unidimensional case. We generalize this family by performing ...
Derivative free iterative methods for nonlinear system

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel, Carles (Elsevier, 2015-05-15)

[EN] In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain ...
Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions

Behl, Ramandeep; Bhalla, Sonia; Martínez Molada, Eulalia; Alsulami, Majed Aali (MDPI AG, 2021-06)

[EN] There is no doubt that the fourth-order King's family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, ...
Desenvolupament de nous mètodes per a la resolució d'equacions i sistemes d'equacions no lineals

Teruel Ferragud, Carles (Universitat Politècnica de València, 2016-01-11)

[EN] The necessity of solving nonlinear equations and systems arises naturally in the different areas of engineering and science when integral and differential equations are discretized. Nowadays, computers have become ...
Desenvolupament de nous mètodes per a la resolució d'equacions i sistemes d'equacions no lineals i Aplicacions

Teruel Ferragud, Carles (Universitat Politècnica de València, 2018-09-10)

La necesidad de resolver ecuaciones y sistemas de ecuaciones no lineales surge de manera natural en discretizar las ecuaciones integro-diferenciales que modelan los problemas de los que se encargan las diferentes ramas de ...
Determination of multiple roots of nonlinear equations and applications

Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel Ferragud, Carles (Springer Verlag (Germany), 2015-03)

[EN] In this work we focus on the problem of approximating multiple roots of nonlinear equations. Multiple roots appear in some applications such as the compression of band-limited signals and the multipactor effect in ...
Directional k-Step Newton Methods in n Variables and its Semilocal Convergence Analysis

Kumar, A.; Gupta, D.K.; Martínez Molada, Eulalia; Singh, Sukhjit (Springer-Verlag, 2018-04)

[EN] The directional k-step Newton methods (k a positive integer) is developed for solving a single nonlinear equation in n variables. Its semilocal convergence analysis is established by using two different approaches ...
Domain of Existence and Uniqueness for Nonlinear Hammerstein Integral Equations

Singh, Sukhjit; Martínez Molada, Eulalia; Kumar, Abhimanyu; Gupta, D. K. (MDPI AG, 2020-03)

[EN] In this work, we performed an study about the domain of existence and uniqueness for an efficient fifth order iterative method for solving nonlinear problems treated in their infinite dimensional form. The hypotheses ...
Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method

Cevallos, Fabricio; Hueso, José L.; Martínez Molada, Eulalia; Howk, Cory L. (John Wiley & Sons, 2020-09-30)

[EN] In this paper, we consider the problem of solving initial value problems and boundary value problems through the point of view of its continuous form. It is well known that in most cases these types of problems are ...
Dynamical study while searching equilibrium solutions in N-body problem

Budzko, Dzmitry; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Teruel-Ferragud, Carles (Elsevier, 2016-05-01)

The theory of complex dynamics is usually applied to compare the global convergence properties of different iterative methods, by obtaining the attraction basins for simple polynomial equations in the complex domain. ...
Ecuaciones en derivadas parciales

Martínez Molada, Eulalia (Universitat Politècnica de València, 2019-07-02)

En este artículo se presenta la resolución de Ecuaciones en Derivadas Parciales por el método de separación de variables como parte de la asignatuta de Matemáticas III que se imparte en el Grado en Ingeniería de Tecnologías ...
Efficient high-order methods based on golden ratio for nonlinear system

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2011-01-01)

We derive new iterative methods with order of convergence four or higher, for solving nonlinear systems, by composing iteratively golden ratio methods with a modified Newton's method. We use different efficiency indices ...
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces

Martínez Molada, Eulalia; Singh, S.; Hueso Pagoaga, José Luís; Gupta, D.K. (Elsevier, 2016-04-30)

In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains. Specifically a local ...
Extended convergence for a fifth-order novel scheme free from derivatives

Behl, Ramandeep; Argyros, Ioannis K.; Martínez Molada, Eulalia; Joshi, Janak (John Wiley & Sons, 2022-04)

[EN] The objective in this paper is the expansion of the utilization for a fifth convergence order scheme without derivatives for finding solutions of Banach space valued equations. Conditions of the first order divided ...
Formar o factorizar un polinomio

Martínez Molada, Eulalia (Universitat Politècnica de València, 2009-06-19)

Si se elige la opción factorizar, dado un polinomio se representa éste junto a sus raíces tanto reales como complejas y se obtiene la expresión del polinomio factorizado. Los coeficientes del polinomio ( de grado <= 5) ...
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation

Cordero Barbero, Alicia; Hueso Pagoaga, José Luís; Martínez Molada, Eulalia; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-04)

In this work we show a general procedure to obtain optimal derivative free iterative methods for nonlinear equations f (x) = 0, applying polynomial interpolation to a generic optimal derivative free iterative method of ...
Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes

Gutiérrez, José Manuel; Hernández-Verón, Miguel Ángel; Martínez Molada, Eulalia (MDPI AG, 2020-10)

[EN] This work is devoted to Fredholm integral equations of second kind with non-separable kernels. Our strategy is to approximate the non-separable kernel by using an adequate Taylor's development. Then, we adapt an already ...