Results 11 to 20 of about 12,190,958 (163)
Some new efficient multipoint iterative methods for solving nonlinear systems of equations [PDF]
International Journal of Computer Mathematics, 2014 It is attempted to put forward a new multipoint iterative method of sixth-order convergence for approximating solutions of nonlinear systems of equations. It requires the evaluation of two vector-function and two Jacobian matrices per iteration. Furthermore, we use it as a predictor to derive a general multipoint method.
Taher Lotfi +4 more
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Another Simple Way of Deriving Several Iterative Functions to Solve Nonlinear Equations [PDF]
Journal of Applied Mathematics, 2012 We present another simple way of deriving several iterative methods for solving nonlinear equations numerically. The presented approach of deriving these methods is based on exponentially fitted osculating straight line.
Ramandeep Behl +2 more
doaj +2 more sources
Task-based image quality and dosimetric validation of HyperSight CBCT for adaptive radiotherapy. [PDF]
J Appl Clin Med PhysAbstract Background Cone‐beam computed tomography (CBCT) is increasingly used in adaptive radiotherapy (ART), yet the dosimetric accuracy and image quality of advanced CBCT imaging platforms—such as Halcyon HyperSight 4.0 (HH), which combines an upgraded detector panel with advanced iterative reconstruction, scatter‐correction, and metal‐artifact ...
Park B, Kim T, Lee KW.
europepmc +2 more sources
Mathematics, 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 matrix ...
Marlon Moscoso-Martínez +3 more
doaj +1 more source
Biomath, 2013 In this paper we will examine self-accelerating in terms of convergence speed and the corresponding index of eciency in the sense of Ostrowski - Traub of certain standard and most commonly used in practice multipoint iterative methods using several ...
Nikolay Kyurkchiev, Anton Iliev
doaj +3 more sources
Mathematics, 2020 In this paper, we obtain two iterative methods with memory by using inverse interpolation. Firstly, using three function evaluations, we present a two-step iterative method with memory, which has the convergence order 4.5616.
Xiaofeng Wang, Mingming Zhu
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Results in Control and Optimization, 2023 We present in this paper two new families of bi-parametric multipoint higher order iterative methods of optimal order for determining simple roots of the nonlinear equation Ω(s)=0.
G Thangkhenpau +2 more
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An Optimal Thirty-Second-Order Iterative Method for Solving Nonlinear Equations and a Conjecture [PDF]
, 2022 Many multipoint iterative methods without memory for solving non-linear equations in one variable are found in the literature. In particular, there are methods that provide fourth-order, eighth-order or sixteenth-order convergence using only ...
Varona Malumbres, Juan Luis [0000-0002-2023-9946] +1 more
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Extended Kung–Traub Methods for Solving Equations with Applications
Mathematics, 2021 Kung and Traub (1974) proposed an iterative method for solving equations defined on the real line. The convergence order four was shown using Taylor expansions, requiring the existence of the fifth derivative not in this method. However, these hypotheses
Samundra Regmi +4 more
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Convergence planes of iterative methods
, 2021 Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"In this chapter we study the convergence planes associated to a certain class of iterative ...
Argyros, Ioannis K +1 more
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