Results 21 to 30 of about 11,948,358 (222)

On the Newton-Raphson method of Approximation [PDF]

open access: yesEdinburgh Mathematical Notes, 1944
The Method.—An equation F(x) = 0 has, a root x = r, not known exactly. From a first approximation to r, x = a, a second approximation, x = b, is obtained from the formulaFrom b a third approximation, x = c, is obtained by the same formula, and so on. The method is pointless unless the successive approximations do actually tend to r; a rule that ensures
openaire   +2 more sources

Vector Form Implementation in Three-Phase Power Flow Analysis Based on Power Injection Rectangular Coordinate

open access: yesJurnal Nasional Teknik Elektro, 2019
This paper aims to propose the vector form implementation into three-phase power flow analysis. The developed algorithm is based on Newton-Raphson method with voltage is represented in rectangular coordinate.
Lukmanul Hakim   +3 more
doaj   +3 more sources

Wilkinson Polynomials: Accuracy Analysis Based on Numerical Methods of the Taylor Series Derivative

open access: yesDesimal, 2020
Some of the numeric methods for solutions of non-linear equations are taken from a derivative of the Taylor series, one of which is the Newton-Raphson method. However, this is not the only method for solving cases of non-linear equations.
Vera Mandailina   +4 more
doaj   +1 more source

Numerical method and mathematical model for finding the equilibrium composition of the thermodynamic system of the T-Energy software package

open access: yesВестник Дагестанского государственного технического университета: Технические науки, 2023
Objective. The aim of the study is to develop a mathematical model and numerical methods for finding the equilibrium composition of a thermodynamic system.Method. To find the equilibrium composition of the thermodynamic system, a combination of numerical
P. A. Sechenov, I. A. Rybenko
doaj   +1 more source

Comparative Analysis of Techniques for Solving the Hydraulics of Pressurized Irrigation Pipe Networks [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1997
This study presents a comparative analysis for three techniques in analyzing the hydraulics of pressurized irrigation systems: Linear Theory, Newton Raphson, and Iterative Distal Outlet.
Numan Mizyed
doaj   +1 more source

Computing graph energy: An alternative approach [PDF]

open access: yesKragujevac Journal of Science, 2014
The characteristic polynomial corresponding to the adjacency matrix of a graph is obtained by the Faddeev-Leverrier algorithm. Subsequently, an improved numerical scheme, based on the Newton-Raphson algorithm and the Adomian decomposition method, is ...
Fatoorehchi Hooman   +2 more
doaj   +1 more source

Conceptualizing the Iterative method of Newton-Raphson for systems with two equations [PDF]

open access: yes, 2023
In numerical analysis, Newton-Raphson method is a root-finding algorithm which generates iterative approximations to the zeroes (or roots) of a real-valued function.
Triantafyllou, Serafeim A.
core   +2 more sources

Perbandingan Metode Halley dan Olver dalam Penentuan Akar-akar Penyelesaian Polinomial Wilkinson

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2019
Abstrak: Root finding adalah salah satu topik dalam metode numerik dalam menentukan akar suatu persamaan , biasanya persamaan tersebut dalam bentuk rumit dan sulit diselesaikan secara analitik.
Randhi Nanang Darmawan   +1 more
doaj   +1 more source

Method for determining relaxation factor for modified Newton-Raphson method [PDF]

open access: yes, 1992
In order to reduce the CPU time for the modified Newton-Raphson method which introduces a relaxation factor, the effect of the relaxation factor on the residual of the Galerkin method is examined in detail.
Nakata, Takayoshi   +3 more
core   +2 more sources

A Methodology for Obtaining the Different Convergence Orders of Numerical Method under Weaker Conditions

open access: yesMathematics, 2022
A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in abstract ...
Ioannis K. Argyros   +3 more
doaj   +1 more source

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