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Initial Point Optimization for Square Root Approximation based on Newton-Raphson Method  

Choi Chang-Soon (Dept. of Electronic Engineering, Program of Integrated Biotechnology and IDEC, Sogang University)
Lee Jin-Yong (Dept. of Electronic Engineering, Program of Integrated Biotechnology and IDEC, Sogang University)
Kim Young-Lok (Dept. of Electronic Engineering, Program of Integrated Biotechnology and IDEC, Sogang University)
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Abstract
A Newton-Raphson Method for table driven algorithm is presented in this paper. We concentrate the approximation of square root by using Newton-Raphson method. We confirm that this method has advantages of accurate and fast processing with optimized initial point. Hence the selection of the fitted initial points used in approximation of Newton-Raphson algorithm is important issue. This paper proposes that log scale based on geometric wean is most profitable initial point. It shows that the proposed method givemore accurate results with faster processing speed.
Keywords
Newton-Raphson; square root; iteration;
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