Results 111 to 120 of about 6,619 (164)

A modified Newton–Raphson method

Communications in Numerical Methods in Engineering, 2004
AbstractIn this paper, we propose the following modified Newton–Raphson iteration formulation: In case r=1, the obtained formulation reduces to the Newton–Raphson formulation. The present technique circumvent pitfalls of the Newton–Raphson iteration method. Some examples are illustrated. Copyright © 2004 John Wiley & Sons, Ltd.
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Extended Newton-Raphson Method

2016
In Chap. 7, we have seen that overdetermined nonlinear systems are common in geodetic and geoinformatic applications, that is there are frequently more measurements than it is necessary to determine unknown variables, consequently the number of the variables n is less then the number of the equations m.
Joseph L. Awange, Béla Paláncz
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ON NEWTON-RAPHSON METHOD [PDF]

Journal of Information Systems and Operations Management, 2011
Recent versions of the well-known Newton-Raphson method for solving algebraic equations are presented. First of these is the method given by J. H. He in 2003. He reduces the problem to solving a second degree polynomial equation. However He’s method is not applicable when this equation has complex roots. In 2008, D. Wei, J. Wu and M.
Mircea Cirnu, Irina Badralexi
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Variable dimension Newton-Raphson method

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2000
Summary: The classical Newton-Raphson method is generalized to solve nonsquare and nonlinear problems of size \(m\times n\) with \(m\leq n\). Using this generalized Newton-Raphson method as a core, a new variable dimension Newton-Raphson (VDNR) method is developed.
Ng, S. W., Lee, Y. S.
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A generalized Newton–Raphson method using curvature

Communications in Numerical Methods in Engineering, 1995
AbstractA numerical method for finding the roots of any function is developed. This method considers a circle using the concept of curvature instead of the tangential line in the Newton‐Raphson method. The compared results between the proposed method and the Newton‐Raphson method are listed.
Lee, IW Lee, In Won, JUNG, GH JUNG, GH
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A stochastic Newton-Raphson method

Journal of Statistical Planning and Inference, 1978
Abstract A stochastic approximation procedure of the Robbins-Monro type is considered. The original idea behind the Newton-Raphson method is used as follows. Given n approximations X 1 ,…, X n with observations Y 1 ,…, Y n , a least squares line is fitted to the points ( X m , Y m ),…, ( X n , Y n ) where m n may ...
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A Newton-Raphson Accelerated Iterative Reconstruction Method

2020 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2020
The greatest advantage of iterative techniques in the computed tomography is the ability to produce better images than other analytical methods in cases, where fewer and not uniformly distributed projection data are available. Following the general iterative approach of the Algebraic Reconstruction Technique (ART) enhanced with convergence acceleration
Athina Sideri, Efstathios Stiliaris
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A normalized multidimensional Newton-Raphson method†

International Journal of Control, 1970
Normalized multidimensional Newton-Raphson method eliminating initial guess, using two- transformation ...
C. F. CHEN‡, N. R. STRADER
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Geometric Newton-Raphson Method

2002
Given an equation y = f (x), the Newton-Raphson method employs successive approximations to determine the roots of the equation f (x) = 0.
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THE NEWTON–RAPHSON METHOD AND ADAPTIVE ODE SOLVERS

Fractals, 2011
The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝn is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure that aims at reducing the chaotic behavior of the original method without losing the quadratic ...
Schneebeli, Hans Rudolf, Wihler, Thomas P.   +1 more
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