Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Francisco I. Chicharro"'
Autor:
Marlon Moscoso-Martínez, Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa, Gabriela Ureña-Callay
Publikováno v:
Axioms, Vol 13, Iss 7, p 458 (2024)
In this manuscript, we introduce a novel parametric family of multistep iterative methods designed to solve nonlinear equations. This family is derived from a damped Newton’s scheme but includes an additional Newton step with a weight function and
Externí odkaz:
https://doaj.org/article/59928e247ccf49fda3bc6cc109a53033
Autor:
Sania Qureshi, Francisco I. Chicharro, Ioannis K. Argyros, Amanullah Soomro, Jihan Alahmadi, Evren Hincal
Publikováno v:
Axioms, Vol 13, Iss 6, p 341 (2024)
This paper introduces an iterative method with a remarkable level of accuracy, namely fourth-order convergence. The method is specifically tailored to meet the optimality condition under the Kung–Traub conjecture by linear combination. This method,
Externí odkaz:
https://doaj.org/article/e0ed7ad12af94fd98cd14e9c638e3b2b
Autor:
José J. Padilla, Francisco I. Chicharro, Alicia Cordero, Alejandro M. Hernández-Díaz, Juan R. Torregrosa
Publikováno v:
Mathematics, Vol 12, Iss 3, p 499 (2024)
In this paper, we present a three-step sixth-order class of iterative schemes to estimate the solutions of a nonlinear system of equations. This procedure is designed by means of a weight function technique. We apply this procedure for predicting the
Externí odkaz:
https://doaj.org/article/924c6af25e8d424590bbdbcbf74cd25a
Autor:
José J. Padilla, Francisco I. Chicharro, Alicia Cordero, Alejandro M. Hernández-Díaz, Juan R. Torregrosa
Publikováno v:
Mathematics, Vol 11, Iss 15, p 3275 (2023)
In this paper, an iterative procedure to find the solution of a nonlinear constitutive model for embedded steel reinforcement is introduced. The model presents different multiplicities, where parameters are randomly selected within a solvability regi
Externí odkaz:
https://doaj.org/article/75644b556e634928a7af869134a9aba2
Publikováno v:
Fractal and Fractional, Vol 7, Iss 4, p 317 (2023)
A load flow study referred to as a power flow study is a numerical analysis of the electricity that flows through any electrical power system. For instance, if a transmission line needs to be taken out of service for maintenance, load flow studies al
Externí odkaz:
https://doaj.org/article/2bebed9630f842739d8af8c1e0b1b38a
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1374 (2023)
This manuscript is focused on a new parametric class of multi-step iterative procedures to find the solutions of systems of nonlinear equations. Starting from Ostrowski’s scheme, the class is constructed by adding a Newton step with a Jacobian matr
Externí odkaz:
https://doaj.org/article/0a6a8800bf8c4435ab69005a892bc47f
Publikováno v:
Fractal and Fractional, Vol 6, Iss 10, p 572 (2022)
Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of convergence. However, this order is no
Externí odkaz:
https://doaj.org/article/2dc64ee5cd9d4ed7b02943836b63e4dd
Publikováno v:
Mathematics, Vol 8, Iss 12, p 2194 (2020)
A straightforward family of one-point multiple-root iterative methods is introduced. The family is generated using the technique of weight functions. The order of convergence of the family is determined in its convergence analysis, which shows the co
Externí odkaz:
https://doaj.org/article/798821d1b6b44fc3ac931e633cfdbff8
Publikováno v:
Mathematics, Vol 8, Iss 2, p 274 (2020)
In this work, two Traub-type methods with memory are introduced using accelerating parameters. To obtain schemes with memory, after the inclusion of these parameters in Traub’s method, they have been designed using linear approximations or the Newt
Externí odkaz:
https://doaj.org/article/d94984785d624c1ca90134d3729760b2
Publikováno v:
Algorithms, Vol 8, Iss 2, Pp 271-279 (2015)
In this paper, the dynamical behavior of different optimal iterative schemes for solving nonlinear equations with increasing order, is studied. The tendency of the complexity of the Julia set is analyzed and referred to the fractal dimension. In fact
Externí odkaz:
https://doaj.org/article/c47de4bc61754d98ab686c299a335fca