[PDF] Top 20 An efficient algorithm for steepest descent method for unconstrained optimization

... Barzilai-Borwein method ensures superlinear convergence and performs quite ...Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear ... See full document

... gradient method was first proposed by Goldstein 7 and Levitin and Polyak 8 for solving convexly constrained minimization ...This method is regarded as an extension of the steepest-descent or ... See full document

... A new programming approach for steepest descent optimization of rocket trajectories is presented in this paper. From the results it is clear that the final objectives are achieved with optimum ... See full document

... proposed method is that the generated directions are always ...of unconstrained optimization problems from [18], which indicates the proposed method possesses better performances when compared ... See full document

... convex optimization problem with a fixed point constraint along with proof that these algorithms converge strongly to the unique solution of problems with a strongly monotone ...hierarchical optimization ... See full document

... hybrid steepest-descent method for variational inequality problems over the intersection of the fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ... See full document

... of Algorithm . with those of the PRP+ method [] and the CG-DESCENT method [] in the number of function evaluations and CPU time in seconds with the strong Wolfe line ...large-scaled ... See full document

... global optimization of optimal control ...presents Steepest Descent method. The Newton method is described in Section ...Evolution method is discussed in section ...Gradient ... See full document

... a method for unifying the treatment of equilibrium problems encountered in areas as diverse as economics, optimal control, game theory, transportation science, and ...mathematical optimization problems, ... See full document

... the steepest descent direction as the restart condition automatically when the next iteration point is approximate to the current ...gradient method (see [4,15] ...gradient method, Polak and ... See full document

... computationally efficient method[1]-[3]. This method is known as error backpropagation, finds the derivatives of an error function with respect to the weights and biases of the ...different ... See full document

... At the same time, for more comprehensive comparison between the methods, we adopt the performance profiles of Dolan and Mor´ e [7] to to evaluate the number of iterations and the number of function evaluations. In ... See full document

... the algorithm satisfys Property ...this method is globally ...MN algorithm has higher precision and less number of times of ...VMN algorithm, it also have the sufficient de- scent property and ... See full document

... Fletcher-Reeves method, Hestenes-Stiefel method, Dai-Yuan method, Polak- Ribière method and Conjugate Descent ...proposed descent methods without line search in [9] and [10], ... See full document

... own algorithm-specific control ...HS algorithm uses harmony memory consideration rate, pitch adjusting rate, and the number of ...respective algorithm-specific parameters. The proper tuning of the ... See full document

... Newton algorithm with correc- tion by trust region technique, and then prove the global convergence of the new algorithm under some suitable ...Newton algorithm with correction and compared it with a ... See full document

... Picard algorithm to the smooth convex minimization problem and point out that the Picard algorithm is the steepest descent method for solving the minimization ...Picard algorithm ... See full document

... iterative algorithm is based on Korpelevich’s extragradient method, the viscosity approximation method [], Mann’s it- eration method, and the hybrid steepest-descent ...erative ... See full document

... for efficient computation of weighted ...FIR algorithm can then be mapped onto this architecture as a series of MAC ...FIR algorithm, the coefficient values directly impact the signal switching ... See full document

... proposed algorithm and the other algorithm is less than the significance ratio then it indicates the statistically better performance of the proposed ...proposed algorithm and the other algorithms ... See full document