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Listar por palabra clave "Divided difference operator"

Mostrando ítems 1-6 de 6

A family of Kurchatov-type methods and its stability

Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Haghani, F. Khaksar (Elsevier, 2017)

[EN] We present a parametric family of iterative methods with memory for solving of nonlinear problems including Kurchatov¿s scheme, preserving its second-order of convergence. By using the tools of multidimensional real ...
A new class of iterative processes for solving nonlinear systems by using one divided differences operator

Cordero Barbero, Alicia; Jordan-Lluch, Cristina; Sanabria-Codesal, Esther; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2019-09)

[EN] In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that ...
A new efficient parametric family of iterative methods for solving nonlinear systems

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido-Saez, Neus; Torregrosa Sánchez, Juan Ramón (Taylor & Francis, 2019-10-03)

[EN] A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ...
Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems

Cordero Barbero, Alicia; Villalba, Eva G.; Torregrosa Sánchez, Juan Ramón; Triguero-Navarro, Paula (MDPI AG, 2021-01-03)

[EN] A new parametric class of iterative schemes for solving nonlinear systems is designed. The third- or fourth-order convergence, depending on the values of the parameter being proven. The analysis of the dynamical ...
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure

Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; VASSILEVA, MARÍA PENKOVA (Elsevier, 2015-10-01)

[EN] In this paper, from Traub’s method and by applying weight function technique, a bi-parametric family of predictor–corrector iterative schemes with optimal fourth-order of convergence, for solving nonlinear equations, ...
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory

Chicharro, Francisco I.; Cordero Barbero, Alicia; Garrido, Neus; Torregrosa Sánchez, Juan Ramón (Elsevier, 2020-06)

[EN] Iterative methods with memory for solving nonlinear systems have been designed. For approximating the accelerating parameters the Kurchatov's divided difference is used as an approximation of the derivative of second ...