The Newton-Raphson method is used to iteratively refine the solution to a system of nonlinear equations. The Jacobian matrix, representing the system's sensitivity to changes in variables, is ...

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The paper presents and compares three potential formulations to solve nonlinear static magnetic field problems by applying the fixed point technique and the Newton-Raphson scheme. Nonlinear ...

It is well known that the Newton-Raphson method is the most popular iterative method for nonlinear finite element problems. The method has a quadratic convergence. Under certain conditions on the ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, ...

Abstract In this paper, we have modified fixed point method and have established two new iterative methods of order two and three. We have discussed their convergence analysis and comparison with some ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by F(x) = 0 ...