It is well known that the line search methods play a very important role for optimization problems. In this paper a new line search method is proposed for solving unconstrained optimization. Under weak conditions, this method possesses global convergence and R-linear convergence for nonconvex function and convex function, respectively. Moreover, the given search direction has sufficiently desce...

economic dispatch with valve point effect and prohibited operating zones (pozs) is a non-convex and discontinuous optimization problem. harmony search (hs) is one of the recently presented meta-heuristic algorithms for solving optimization problems, which has different variants. the performances of these variants are severely affected by selection of different parameters of the algorithm. intel...

In this paper, it is aimed to computationally conduct a performance benchmarking for the steepest descent and three well-known conjugate gradient methods (i.e., Fletcher-Reeves, Polak-Ribiere Hestenes-Stiefel) along with six different step length calculation techniques/conditions, namely Backtracking, Armijo-Backtracking, Goldstein, weakWolfe, strongWolfe, Exact local minimizer in unconstrained...