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Newton–Raphson based scalar speed control and optimization of IM [PDF]

open access: yesAutomatika, 2021
In this study, Newton–Raphson Based (NRB) scalar speed control (SSC) is recommended to control the speed of Induction Motors (IM). As is known, the Newton–Raphson method, which is often used in numerical analysis, is one of the methods that provide a ...
Ozcan Otkun
exaly   +3 more sources

Modeling Of Active Bending By The Method Newton-Raphson And The Modified Newton-Raphson

open access: yesCivil and Environmental Engineering
The paper deals with the modelling and analysis of a single layer timber gridshell produced by active bending. Two geometrically nonlinear calculation methods, the Newton-Raphson method and the Modified Newton-Raphson method, are compared for the ...
Herda Roman   +2 more
doaj   +3 more sources

Historical Development of the Newton–Raphson Method [PDF]

open access: yesSIAM Review, 1995
Accounts, some of which had been published previously, on the iterative algorithm called Newton's method, are assembled into a readily accessible whole, including instructive excerpts from original sources: Viète (who influenced Newton); the secant method in Newton's `Waste Book'; several letters and other writings by Newton; Raphson's book on ...
Ypma, Tjalling
exaly   +5 more sources

Fractional Newton-Raphson Method [PDF]

open access: yesApplied Mathematics and Sciences An International Journal (MathSJ), 2021
The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n, with n ∈ N. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we
Torres Hernandez, Anthony   +1 more
openaire   +4 more sources

Sketched Newton--Raphson [PDF]

open access: yesSIAM Journal on Optimization, 2022
We propose a new globally convergent stochastic second order method. Our starting point is the development of a new Sketched Newton-Raphson (SNR) method for solving large scale nonlinear equations of the form $F(x)=0$ with $F:\mathbb{R}^p \rightarrow \mathbb{R}^m$.
Rui Yuan   +2 more
core   +6 more sources

Fractional Newton–Raphson Method Accelerated with Aitken’s Method

open access: yesAxioms, 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 ...
Ursula Iturrarán-Viveros   +2 more
exaly   +3 more sources

The development of Newton’s method by enhancing the starting point

open access: yesInternational Journal of Trends in Mathematics Education Research, 2023
In general, nonlinear problems cannot be solved analytically. A special theory or method is needed to simplify calculations. Many problems that are too complex, an exact solution is needed to support numerical solution.
Ismi Ratin Nabiyah   +2 more
doaj   +1 more source

Adaptation of the Newton-Raphson and Potra-Pták methods for the solution of nonlinear systems

open access: yesSemina: Ciências Exatas e Tecnológicas, 2021
In this paper we adapt the Newton-Raphson and Potra-Pták algorithms by combining them with the modified Newton-Raphson method by inserting a condition.
Luiz Antonio Farani de Souza   +2 more
doaj   +1 more source

On Fractional Newton-Type Method for Nonlinear Problems

open access: yesJournal of Mathematics, 2022
The current manuscript is concerned with the development of the Newton–Raphson method, playing a significant role in mathematics and various other disciplines such as optimization, by using fractional derivatives and fractional Taylor series expansion ...
Mine Aylin Bayrak   +2 more
doaj   +1 more source

On the Modification of Newton-Secant Method in Solving Nonlinear Equations for Multiple Zeros of Trigonometric Function

open access: yesCauchy: 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
doaj   +1 more source

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