Global convergence of new conjugate gradient method with inexact line search

In this paper, We propose a new nonlinear conjugate gradient method (FRA) that satisfies a sufficient descent condition and global convergence under the inexact line search of strong wolf powell. Our numerical experiment shaw the efficiency of the new method in solving a set of problems from the CUTEst package, the proposed new formula gives excellent numerical results at CPU time, number of iterations, number of gradient ratings when compared to WYL, DY, PRP, and FR methods

A distributed wardrop control algorithm for load balancing in smart grids

This paper presents a distributed strategy for load balancing in a smart grid, modeling demand and supply as a networked dynamical system. The algorithm, which is characterized by point-to-point communications among agents implemented at the level of local energy management systems, is proven to converge to a Wardrop equilibrium. Numerical simulations of realistic scenarios are reported to show the effectiveness of the proposed approach