The project report details the development and testing of a Newton-Raphson-based solver for systems of nonlinear equations. This solver incorporates the Secant method to approximate the Jacobian ...
Abstract: This paper utilizes the Newton Raphson (NR) iterative algorithm to solve a detailed heat balance equation for overhead transmission conductors, for the purpose of calculating a Dynamic Line ...
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.
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 ...
In the realm of electrical power systems and grid management, power flow simulation is a fundamental tool used to analyze and optimize the distribution of electrical energy. Power flow analysis helps ...
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 271, No. 1346 (Jan. 22, 1963), pp. 324-331 (8 pages) ...
Abstract: This paper mainly proposes two Modified Newton-Raphson iterated (MNRI) algorithms to solve the Yang-Baxter-like equation indirectly and directly, respectively. Deriving from the zero finding ...