Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Eulalia Martínez"'
Publikováno v:
Symmetry, Vol 16, Iss 6, p 742 (2024)
In this study, we introduce an iterative approach exhibiting sixth-order convergence for the solution of nonlinear equations. The method attains sixth-order convergence by using three evaluations of the function and two evaluations of the first-order
Externí odkaz:
https://doaj.org/article/3f7aec0c746c46b6bee419f5b562bfaf
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 1 (2024)
In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non-differentiable Nemytskii operator. To do this, we will tr
Externí odkaz:
https://doaj.org/article/187a5a2da41c4d9fb8185daa5b774ec6
Publikováno v:
Axioms, Vol 12, Iss 3, p 270 (2023)
In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that the nonlinear operator be non-differen
Externí odkaz:
https://doaj.org/article/1f2b6d15de85429e88435f1f5218e542
Publikováno v:
Symmetry, Vol 15, Iss 2, p 536 (2023)
In this paper, we deal with a new family of iterative methods for approximating the solution of nonlinear systems for non-differentiable operators. The novelty of this family is that it is a m-step generalization of the Steffensen-type method by upda
Externí odkaz:
https://doaj.org/article/21dc3d62e94c4d0b94e3ff1205f7c9f4
Publikováno v:
Symmetry, Vol 14, Iss 3, p 562 (2022)
There are a good number of higher-order iterative methods for computing multiple zeros of nonlinear equations in the available literature. Most of them required first or higher-order derivatives of the involved function. No doubt, high-order derivati
Externí odkaz:
https://doaj.org/article/3941ec11a8c64b76a97678505f2d8246
Autor:
Ramandeep Behl, Eulalia Martínez
Publikováno v:
Complexity, Vol 2020 (2020)
In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations. For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear equations preserving the same conv
Externí odkaz:
https://doaj.org/article/ccda32d4160b4547b0f476ce9760654a
Autor:
Miguel A. Hernández-Verón, Sonia Yadav, Ángel Alberto Magreñán, Eulalia Martínez, Sukhjit Singh
Publikováno v:
Symmetry, Vol 14, Iss 1, p 4 (2021)
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 methods. The Steffensen-type methods,
Externí odkaz:
https://doaj.org/article/5a0de6bd60f74364b80c2b1fad4e2d72
Publikováno v:
Axioms, Vol 10, Iss 3, p 161 (2021)
In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method. This is an iterative method of fourth order, that can be transferred to the
Externí odkaz:
https://doaj.org/article/7907a8c68cc84920bce5f01fc33a58ec
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1242 (2021)
There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of conver
Externí odkaz:
https://doaj.org/article/2d64eab104774243a3e24d8b921a41aa
Publikováno v:
Mathematics, Vol 8, Iss 11, p 1950 (2020)
The benefits and properties of iterative splitting methods, which are based on serial versions, have been studied in recent years, this work, we extend the iterative splitting methods to novel classes of parallel versions to solve nonlinear fractiona
Externí odkaz:
https://doaj.org/article/38d5542b693c4e8c98df8e22c31d64ae