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Extended Newton-Raphson Method
2016In 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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Geometric Newton-Raphson Method
2002Given 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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An Asynchronous Newton-Raphson Method
1990We consider a parallel variant of the Newton-Raphson method for unconstrained optimization, which uses as many finite differences of gradients as possible to approximate rows and columns of the inverse Hessian matrix. The method is based on the Gauss-Seidel type of updating for quasi-Newton methods originally proposed by Straeter (1973).
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A stochastic Newton-Raphson method
Journal of Statistical Planning and Inference, 1978Abstract 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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Improving Newton–Raphson Method for Nonlinear Equations by Modified Adomian Decomposition Method
Applied Mathematics and Computation, 2003Saeid Abbasbandy
exaly
Comparison of Newton-Raphson Global and Loop Algorithms for Water Distribution Network Resolution
Journal of Hydraulic Engineering, 2014Marco Franchini, Enrico Creaco
exaly
Simplified Newton–Raphson Power-Flow Solution Method
International Journal of Electrical Power and Energy Systems, 2010Thanatchai Kulworawanichpong
exaly