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Determination of a suitable initial estimate for a root of an equation ƒ(x) = 0 by means of computing the roots of a sequence of related equations is described.

In the 1680s, Isaac Newton devised a method to tackle this problemiStock Photos For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex ...

Abstract: The classical Newton-Raphson method is generalized to solve nonsquare and nonlinear problems of size m/spl times/n with m/spl les/n. Using this generalized Newton-Raphson method as a core, a ...

Laboratory of Civil Engineering and Mechanics, Department of Civil Engineering, National Advanced School of Engineering at Yaounde, The University of Yaounde I, Yaounde, Cameroon. The current theory ...

Abstract: This paper proposes a general formulation for implementing the fixed-point method (FPM) and the Newton-Raphson method (NRM) in finite-element (FE) analysis of nonlinear magnetic problems. As ...

This paper presents a method to directly extract the Jacobian matrix of a power system’s power flow (PF) equations in polar coordinates (termed as DEJMP method). This method is designed to reduce the ...