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Listar por palabra clave "Semilocal convergence"

Mostrando ítems 1-16 de 16

A multistep Steffensen-type method for solving nonlinear systems of equations

Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel Angel; Magreñán, A. Alberto; Martínez Molada, Eulalia (John Wiley & Sons, 2020-06-15)

[EN] This paper is devoted to the semilocal analysis of a high-order Steffensen-type method with frozen divided differences. The methods are free of bilinear operators and derivatives, which constitutes the main limitation ...
An improvement of derivative-free point-to-point iterative processes with central divided differences

Hernández-Verón, Miguel Angel; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (Walter de Gruyter GmbH, 2023-11-21)

[EN] In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton's method; therefore, it is a very remarkable way of avoiding the drawback that Newton's method ...
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 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 ...
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 ...
On an efficient k-step iterative method for nonlinear equations

Amat, S.; Bermúdez, C.; Hernández-Verón, Miguel Angel; Martínez Molada, Eulalia (Elsevier, 2016)

[EN] This paper is devoted to the construction and analysis of an efficient k-step iterative method for nonlinear equations. The main advantage of this method is that it does not need to evaluate any high order Frechet ...
On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

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 ...
Recurrence relations for a family of iterations assuming Holder continuous second order Frechet derivative

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 ...
Semilocal and local convergence of a fifth order iteration with Frechet derivative satisfying Holder condition

Singh, S.; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Elsevier, 2016-03-05)

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 ...
Semilocal Convergence Analysis of an Iteration of Order Five Using Recurrence Relations in Banach Spaces

Singh, Sukhjit; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Springer-Verlag, 2016)

[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 ...
Semilocal Convergence for new Chebyshev-type iterative methods

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 ...
Semilocal convergence of a family of iterative methods in Banach spaces

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, ...
Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems

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 ...
Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces

Kumar, A.; Gupta, D.K.; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2018)

[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 ...
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 ...