New algorithms for minimization of non linear functions by numerical methods

K. Karthikeyan and M. Sundaram

Abstract

In this paper, we propose three new algorithms namely, Orthogonal Circle Approach Algorithm, Orthogonal Circle-Tangent Approach Algorithm and Family of quadratic convergence algorithms for minimization of non-linear functions. Some illustrations are discussed by using the first two new algorithms with Newton’s algorithm. Then comparative study among the new algorithms is established by using few nonlinear functions.