The numerical approach to solving geometric constraint problems is indispensable for building a practical CAD system. The most commonly-used numerical method is the Newton–Raphson method. It is fast, but has the instability problem: the method requires good initial values. To overcome this problem, recently the homotopy method has been proposed and experimented with. According to the report, th...

In lifetime analysis of electric transformers, the maximum likelihood estimation has been proposed with the EM algorithm. However, it is not clear whether the EM algorithm offers a better solution compared to the simpler Newton-Raphson algorithm. In this paper, the first objective is a systematic comparison of the EM algorithm with the Newton-Raphson algorithm in terms of convergence performanc...

Mixture of experts (ME) is a modular neural network architecture for supervised learning. A double-loop Expectation-Maximization (EM) algorithm has been introduced to the ME architecture for adjusting the parameters and the iteratively reweighted least squares (IRLS) algorithm is used to perform maximization in the inner loop [Jordan, M.I., Jacobs, R.A. (1994). Hierarchical mixture of experts a...

The two-dimensional in-plane displacement and strain calculation problem through digital image processing methods has been studied extensively in the past three decades. Out of the various algorithms developed, the Newton-Raphson partial differential correction method performs the best quality wise and is the most widely used in practical applications despite its higher computational cost. The ...

–In this paper deals with steady state analysis of self-excited slip ring induction generator (SESRIG) is performed using NewtonRaphson method. By varying effective rotor resistance of a self excited slip ring induction generator, the magnitude and frequency of the output voltage can be controlled over a wide speed range. A steady state analysis based on normalized equivalent circuit enables th...

The paper describes an application of a variant of the Newton-Raphson method to solution of geometric constraint problems. Sparsity and rank deficiency of the corresponding nonlinear systems are emphasized and statistical data are presented. Several ways of handling underdeterminancy and overdeterminancy in solving the Newton linear systems are considered. The behavior of Newton’s method is sho...

Power flow analysis plays an important role in power grid configurations, operating management and contingency analysis. The Newton-Raphson (NR) iterative method is often enlisted for solving power flow analysis problems. However, it involves computation-expensive matrix multiplications (MMs). In this paper we propose an FPGA-based Hierarchical-SIMD (H-SIMD) machine with its codesign of the Hie...