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Listar por palabra clave "Newton's method"

Mostrando ítems 1-9 de 9

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 ...
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations

Candelario Villalona, Giro Guillermo; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P. (Elsevier, 2022-02)

[EN] In recent papers, some fractional Newton-type methods have been proposed by using the Riemann-Liouville and Caputo fractional derivatives in their iterative schemes, with order 2 alpha or 1+alpha. In this manuscript, ...
Artificial satellites preliminary orbit determination by the modified high-order Gauss method

Arroyo Martínez, Víctor; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Taylor & Francis Ltd, 2012)

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to ...
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 ...
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 ...
Modified Potra-Pták multi-step schemes with accelerated order of convergence for solving sistems of nonlinear equations

Arora, Himani; Torregrosa Sánchez, Juan Ramón; Cordero Barbero, Alicia (MDPI AG, 2019-03)

[EN] In this study, an iterative scheme of sixth order of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two steps are that of third order ...
New iterative methods for solving nonlinear problems with one and several unknowns

Behl, Ramandeep; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Alshomrani, Ali Saleh (MDPI AG, 2018)

[EN] In this manuscript, a new type of study regarding the iterative methods for solving nonlinear models is presented. The goal of this work is to design a new fourth-order optimal family of two-step iterative schemes, ...
New predictor-corrector methods with high efficiency for solving nonlinear systems

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Hindawi Publishing Corporation, 2012)

A new set of predictor-corrector iterative methods with increasing order of convergence is proposed in order to estimate the solution of nonlinear systems. Our aim is to achieve high order of convergence with few Jacobian ...
Optimal high-order methods for solving nonlinear equations

Artidiello Moreno, Santiago de Jesús; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Penkova Vassileva, María (Hindawi Publishing Corporation, 2014)

A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical ...