Results 141 to 150 of about 7,370 (187)

Randomized Newton-Raphson

Applied Numerical Mathematics, 1990
Let g: \(R^ 1\to R^ 1\) be a differentiable function. For the numerical solutions of the equation \(g(x)=0\) a randomized Newton process of the form \(X_{k+1}=x_ k-(g(x_ k)+Z_{1,k})/(g'(x_ k)+Z_{2,k}),\quad k=0,1,...,\) is considered where \(Z_{1,k}\), \(Z_{2,k}\) are mutually independent random variables with controllable densities and hence \(\{X_ k\}
Joseph, G., Levine, A., Liukkonen, J.
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Improvements of the Newton–Raphson method

Journal of Computational and Applied Mathematics, 2022
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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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