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Browsing by Author "Singh, Sukhjit"

Now showing items 1-15 of 15

A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel

Hernández-Verón, M. A.; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2022-04)

[EN] This work is devoted to solve integral equations formulated in terms of the kernel functions and Nemytskii operators. This type of equations appear in different applied problems such as electrostatics and radiative ...
An algorithm derivative-free to improve the steffensen-type methods

Hernández-Verón, Miguel A.; Yadav, Sonia; Magreñán, Ángel Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (MDPI AG, 2022-01)

[EN] Solving equations of the form H(x)=0 is one of the most faced problem in mathematics and in other science fields such as chemistry or physics. This kind of equations cannot be solved without the use of iterative ...
An improvement of the Kurchatov method by means of a parametric modification

Hernández-Verón, Miguel A.; Yadav, Nisha; Magreñán, A. Alberto; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2022-07-30)

[EN] In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The iterative model presented is derivative-free and approximates the solution of nonlinear equations when the operator ...
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 ...
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 ...
Local convergence of a family of iterative methods for Hammerstein equations

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

[EN] In this paper we give a local convergence result for a uniparametric family of iterative methods for nonlinear equations in Banach spaces. We assume boundedness conditions involving only the first Fr,chet derivative, ...
Local convergence of a parameter based iteration with Holder continuous derivative in Banach spaces

Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Springer-Verlag, 2017)

[EN] The local convergence analysis of a parameter based iteration with Hölder continuous first derivative is studied for finding solutions of nonlinear equations in Banach spaces. It generalizes the local convergence ...
Localization and separation of solutions for Fredholm integral equations

Hernández-Verón, Miguel Angel; IBAÑEZ, MARIA; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2020-07-15)

[EN] In this paper, we establish a qualitative study of nonlinear Fredholm integral equations, where we will carry out a study on the localization and separation of solutions. Moreover, we consider an efficient algorithm ...
On the Chandrasekhar integral equation

Hernández-Verón, Miguel A.; Martínez Molada, Eulalia; Singh, Sukhjit (John Wiley & Sons, 2021-11)

[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 ...
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 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 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 ...
Solving nonlinear integral equations with non-separable kernel via a high-order iterative process

Hernández-Verón, M. A.; Yadav, Sonia; Martínez Molada, Eulalia; Singh, Sukhjit (Elsevier, 2021-11-15)

[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 ...