A Newtons Method for Nonlinear Unconstrained Optimization Problems with Two Variables

R. Sophia Porchelvi, S. Sathya

Abstract: In this paper a modification of the classical Newton Method for solving nonlinear, univariate and unconstrained optimization problems based on the development of the new variants is presented. Moreover it focuses on the applications of the method for various means such as harmonic mean, Arithmetic mean, Geometric mean etc. Furthermore, numerical examples are discussed and the graphs of the results provided using MATLAB.

Keywords: Unconstrained Optimization, Newtons Method, Non-linear Programming, Power mean, initial guess