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 ...
[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 ...
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 ...
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 ...