Results 71 to 80 of about 205,428 (139)
Three-step iterative methods with eighth-order convergence for solving nonlinear equations
, 2009 A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King’s fourth-order methods and the family of sixth-order iteration methods developed by Chun et al.
Ren, Hongmin, Wu, Qingbiao, Bi, Weihong
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, 2023 An optimal eighth-order multipoint numerical iterative method is constructed to find the simple root of scalar nonlinear equations. It is a three-point numerical iterative method that uses three evaluations of func-tion f(¢) associated with a scalar
Malik Zaka Ullah; Department of Mathematics, King Abdulaziz University, Jeddah 21589,
core
Optimal Steffensen-type methods with eighth order of convergence
, 2011 This paper proposes two classes of three-step without memory iterations based on the well known second-order method of Steffensen. Per computing step, the methods from the developed classes reach the order of convergence eight using only four evaluations,
Soleymani, F. +3 more
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New modifications of Potra–Pták’s method with optimal fourth and eighth orders of convergence
, 2010 In this paper, we present two new iterative methods for solving nonlinear equations by using suitable Taylor and divided difference approximations. Both methods are obtained by modifying Potra–Pták’s method trying to get optimal order.
Hueso, José L. +3 more
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Further acceleration of the Newton-Ostrowski method for solving nonlinear equations
, 2012 A family of four-point iterative methods for solving nonlinear equations is constructed using a suitable parametric function and three arbitrary real parameters. It is proved that these methods have the convergence order of nine to sixteen.
thukral, rajinder
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Another Newton-type method with (k+2) order convergence for solving quadratic equations
, 2016 In this paper we define another Newton-type method for finding simple root of quadratic equations. It is proved that the new one-point method has the convergence order of k  2 requiring only three function evaluations per full iteration,where k ...
Thukral, R
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UEG Week 2025 Poster Presentations
United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
wiley +1 more source
Optimal fourth- and eighth-order of convergence derivative-free modifications of King’s method
Journal of King Saud University - Science, 2019 Starting by King’s method, we propose a modified families of fourth- and eighth-order of convergence iterative methods for nonlinear equations. The fourth-order method requires at each iteration three function evaluations, while the eighth-order methods ...
Obadah Said Solaiman +2 more
semanticscholar +1 more source
, 2020 In this paper we show a family of iterative schemes for solving nonlinear equations with order of convergence 2 n , by using n + 1 functional evaluations per step, so these methods are optimal in the sense of the Kung-Traub's conjecture.
A Cordero +4 more
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A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations [PDF]
, 2013 A new technique to obtain derivative-free methods with optimal order of convergence in the sense of the Kung-Traub conjecture for solving nonlinear smooth equations is described. The procedure uses Steffensen-like methods and Pade approximants.
Hueso Pagoaga, José Luís +3 more
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