Results 1 to 10 of about 70,425 (254)
A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed.
O. Ogbereyivwe, O. Izevbizua
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Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 This study discusses the analysis of the modification of Newton-Secant method and solving nonlinear equations having a multiplicity of by using a modified Newton-Secant method.
Juhari Juhari
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Approximate Solutions of Barker Equation in Parabolic Orbits [PDF]
Engineering and Technology Journal, 2010 The basic motivation of this paper is to apply the Horner‘s method to performthe steps in Newton and improved Newton methods for approximating the Solutionof Barker‘s equation in parabolic motion.A simple starting value for the iterative solutions is ...
Mohammed S. Rasheed
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Parallel Newtonian Optimization without Hessian Approximation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 The purpose of this paper is to introduce parallel algorithms based on the Newton method for solving non-linear unconstrained optimization problem in (MIMD) parallel computers by solving linear system in parallel using Gaussian Elimination method rather ...
Khalil Abbo
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Finite Basin's Area Fractal via Complex Newton's Method [PDF]
Kirkuk Journal of Science, 2018 In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when .
Zainab Weli Murad
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ComTech, 2022 Many world phenomena lead to nonlinear equations systems. For some applications, the non-linear equations which construct the non-linear equations system are interpolation functions.
Nur Rokhman +2 more
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Fractional Newton–Raphson Method Accelerated with Aitken’s Method
Axioms, 2021 In the following paper, we present a way to accelerate the speed of convergence of the fractional Newton–Raphson (F N–R) method, which seems to have an order of convergence at least linearly for the case in which the order α of the derivative is ...
A. Torres-Hernandez +3 more
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Newton-MR: Inexact Newton Method with minimum residual sub-problem solver
EURO Journal on Computational Optimization, 2022 We consider a variant of inexact Newton Method [20,40], called Newton-MR, in which the least-squares sub-problems are solved approximately using Minimum Residual method [79].
Fred Roosta +3 more
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A New Newton Method with Memory for Solving Nonlinear Equations
Mathematics, 2020 A new Newton method with memory is proposed by using a variable self-accelerating parameter. Firstly, a modified Newton method without memory with invariant parameter is constructed for solving nonlinear equations. Substituting the invariant parameter of
Xiaofeng Wang, Yuxi Tao
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A New Newton-Wavelet Algorithm to Solve Non-Linear Equations [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this research, a new algorithm to solve the non-linear equations (f(x)=0) was developed. The new method was called Newton –Wavelet which can be defined as a mix between two methods, Newton and wavelet.
Kais Ibraheem, Riyad Abdullah
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