Modified preconditioned conjugate gradient algorithms for lagrange method

Abstract EN

This paper is cornered with the improvement of conjugate gradient type methods (CG methods) to solve non-linear constrained optimization problems by using Lagrange method.

Most numerical algorithms are sensitive to error due to arithmetic operation , therefore we suggested the self scaling conjugate Gradient method to avoid this difficulty and to increase the ability for solving algorithms for ill- problems.

Our new modified CG method shows that , it is too effect when compared with other established algorithms to solve standard constant optimization problems