Results 11 to 20 of about 11,948,358 (222)
Historical Development of the Newton–Raphson Method [PDF]
SIAM 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 ...
Tjalling J Ypma
exaly +6 more sources
Improvements of Convergence Characteristics of Newton-Raphson Method for Nonlinear Magnetic Field Analysis [PDF]
IEEE Transactions on Magnetics, 1992 In order to overcome the divergence of the Newton-Raphson iteration in the nonlinear magnetic field analysis, a relaxation factor is introduced and its optimum value is examined. It is shown that the modified Newton-Raphson method proposed exhibits quick
Kazuhiro Muramatsu, T Nakata
exaly +3 more sources
PERBANDINGAN SOLUSI SISTEM PERSAMAAN NONLINEAR MENGGUNAKAN METODE NEWTON-RAPHSON DAN METODE JACOBIAN [PDF]
E-Jurnal Matematika, 2013 System of nonlinear equations is a collection of some nonlinear equations. The Newton-Raphson method and Jacobian method are methods used for solving systems of nonlinear equations.
NANDA NINGTYAS RAMADHANI UTAMI +2 more
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On the Newton-Raphson method and its modifications
Ciencia en Desarrollo, 2023 The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but convergence is not guaranteed, which is the reason why several
Triana Laverde, Juan Gabriel
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The Continuous Newton--Raphson Method Can Look Ahead [PDF]
SIAM Journal on Optimization, 2005 This paper is about an intriguing property of the continuous Newton--Raphson method for the minimization of a continuous objective function f: if x is a point in the domain of attraction of a strict local minimizer x*, then the flux line of the Newton--Raphson flow that starts in x approaches x* from a direction that depends only on the behavior of f ...
Raphael A. Hauser, Jelena Nedic
openaire +6 more sources
Modifikasi Garis Singgung Untuk Mempercepat Iterasi Pada Metode Newton Raphson [PDF]
, 2023 The Newton-Raphson method is one of the methods to find solutions or roots of nonlinear equations. This method converges faster than other methods and is more effective in finding doubles.
Maxrizal, Maxrizal
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Pseudo-loadflow formulation as a starting process for the Newton Raphson [PDF]
, 2010 This paper introduces new models which approximate the AC loadflow problem, but are able to converge (using the Newton Raphson algorithm) from a wider range of starting points.
Irving, MR
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Power system steady state calculations using artificial neural networks [PDF]
E3S Web of Conferences, 2020 The power systems steady-state problem are described by a system of nonlinear equations, and for their solution are widely used iterative techniques such as the Newton-Raphson and others.
Khudayarov Muzaffar, Normamatov Nuriddin
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Accelerated Newton-Raphson GRAPE methods for optimal control
Physical Review Research, 2023 A Hessian-based state-to-state optimal control method in Liouville space is presented to mitigate previously undesirable polynomial scaling of Hessian computation time.
David L. Goodwin, Mads Sloth Vinding
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Quadratically convergent algorithm for computing real root of non-linear transcendental equations
BMC Research Notes, 2018 Objectives The present paper describes a new algorithm to find a root of non-linear transcendental equations. It is found that Regula-Falsi method always gives guaranteed result but slow convergence.
Srinivasarao Thota +1 more
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