A new multiplier for Lagrange interpolation in constrained non linear optimization

In this paper, we have investigated a new multiplier for the Lagrange interpolation by modifying the initial value of the multiplier in order to reduce the errors and avoid the use of arbitrary values for the initial . The new procedure improves the rate of convergence of the Lagrange interpolation. Numerical results indicate that the new approach yields very effective numerical results depending on the number of iterations ; number of gradient and the number of function calls.