AN IMPROVED NEWTON-RAPHSON METHOD FOR SOLVING TWO SIMULTANEOUS NONLINEAR EQUATIONS

Abstract

In this note, an improved Newton-Raphson (INR) method based on the classical Newton-Raphson (N-R) method is proposed for solving simultaneous nonlinear equations (SNEs). An implicit function theorem and a resulting modified Newton Raphson method for roots of the functions between finite dimensional spaces is being analyzed without assuming non-singularity of the Jacobian at the initial approximation. The proposed method has faster convergence rate with respect to the other modified Newton’s method for solving SNEs.