A modified BFGS algorithm based on a hybrid secant equation

By making a convex combination of the modified secant equations proposed by Yuan and Wei et al.,a hybrid secant equation and also,a modified BFGS algorithm is proposed.The hybridization parameter is effectively computed using the available information of recent iterations.Under proper conditions,it is shown that the proposed algorithm is globally,locally and superlinearly convergent.By using the performance profile introduced by Dolan and Mor'e,a comparison between the implementations of the proposed algori...