Results 61 to 70 of about 205,428 (139)
Multistep High‐Order Methods for Nonlinear Equations Using Padé‐Like Approximants
Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 We present new high‐order optimal iterative methods for solving a nonlinear equation, f(x) = 0, by using Padé‐like approximants. We compose optimal methods of order 4 with Newton’s step and substitute the derivative by using an appropriate rational approximant, getting optimal methods of order 8.
Alicia Cordero +4 more
wiley +1 more source
An Optimal Eighth-Order Derivative-Free Family of Potra-Pták’s Method
Algorithms, 2015 In this paper, we present a new three-step derivative-free family based on Potra-Pták’s method for solving nonlinear equations numerically. In terms of computational cost, each member of the proposed family requires only four functional evaluations per ...
Munish Kansal +2 more
doaj +1 more source
Wide stability in a new family of optimal fourth-order iterative methods
, 2022 A new family of two-steps fourth-order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung-Traub conjecture and it is extended to design a class of iterative
Chicharro, Francisco Israel +3 more
core +1 more source
AxiomsIn 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 a ...
Marlon Moscoso-Martínez +4 more
semanticscholar +1 more source
Mathematics, 2019 The principal objective of this work is to propose a fourth, eighth and sixteenth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluations of the function and one ...
Yanlin Tao, Kalyanasundaram Madhu
doaj +1 more source
, 2011 A biparametric family of four-step multipoint iterative methods of order sixteen to numerically solve nonlinear equations are developed and their convergence properties are investigated. The efficiency indices of these methods are all found to be 161/5≈1.
Kim, Young Ik +3 more
core +1 more source
Modified Newton method to determine multiple zeros of nonlinear equations [PDF]
, 2016 New one-point iterative method for solving nonlinear equations is constructed. It is proved that the new method has the convergence order of three.
Thukral, Rajinder
core +1 more source
Poincare's conjecture is implied by a conjecture on free groups
, 1967 Poincare's conjecture is implied by a single group-theoretic conjecture. The converse is also valid modulo a hypothesis on the uniqueness of decomposition of the 3-sphere as the union of two handlebodies intersecting in a ...
Traub, Roger D.
core +1 more source
A new optimal eighth-order iterative technique for solving simple roots of nonlinear equations
Journal of Applied and Numerical AnalysisIn this study, we present an iterative technique of eighth order for solving a non-linear equation. Our proposed method is optimal according to Kung-Traub conjecture, requiring only four function evaluations per iteration for the eighth order technique ...
K. Devi, P. Maroju, H. Kalita
semanticscholar +1 more source
On two new families of iterative methods for solving nonlinear equations with optimal order
, 2011 In this paper, two new families of eighth-order iterative methods for solving nonlinear equations is presented. These methods are developed by combining a class of optimal two-point methods and a modified Newton?s method in the third step.
S.M. Hosseini, G.B. Loghmani, M. Heydari
core +1 more source