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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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Adaptation of the Newton-Raphson and Potra-Pták methods for the solution of nonlinear systems
Semina: 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
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A combination of Newton-Raphson method and heuristics algorithms for parameter estimation in photovoltaic modules. [PDF]
Heliyon, 2021 Gnetchejo PJ +3 more
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A Fast Newton-Raphson Method in Stochastic Linearization [PDF]
, 2014 peer reviewedOwing to its accessible implementation and rapidity, the equivalent linearization has become a common probabilistic approach for the analysis of large-dimension nonlinear structures, as encountered in earthquake and wind engineering.
Thomas Canor +2 more
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Remarks on the convergence of the Newton-Raphson method
Journal of Numerical Analysis and Approximation Theory, 1995 Not available.
Vasile Berinde
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The development of Newton’s method by enhancing the starting point
International 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
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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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Newton–Raphson based scalar speed control and optimization of IM
Automatika, 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 ...
Özcan Otkun
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On Fractional Newton-Type Method for Nonlinear Problems
Journal 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
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IET Generation, Transmission & Distribution, 2022 The energy flow calculation of the integrated electric power and natural gas system (IEGS) is generally tackled by the classical Newton–Raphson (NR) method with second‐order convergence.
J.H. Zheng +4 more
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