[PDF] Top 20 A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization

... sufficient descent property for any line search, and had an advancement that the directions would approach to the steepest descent directions while the steplength was ... See full document

... a new conjugate gradient method using an acceleration scheme for solving large-scale unconstrained ...sufficient descent condition and the Dai–Liao conjugacy condition independent ... See full document

... The unconstrained optimization test problems used in our experiments are listed in Table I and are primarily found in [14] and ...CUTEr unconstrained problem collection ...200 new examples ... See full document

... hybrid conjugate gradient methods were presented in [–] after the first hy- brid conjugate algorithm was proposed by Touati-Ahmed and Storey ...a new hybrid conjugate gradient ... See full document

... The optimization model is an important mathematic problem since it has been applied to various fields such as economics, engineering, and physics (see ...large-scale unconstrained optimization ... See full document

... solve unconstrained nonlinear minimization problems arising in the diversified field of engineering and technology, we have several methods to get ...multi-step nonlinear conjugate ... See full document

... iterative method to solve ...minimization optimization method and a generalized Newton method, ...Newton method for solving ...iteration method for solving system of ...smoothing ... See full document

... hybrid conjugate gradient method for solving unconstrained optimization ...this method possesses the sufficient descent condition only with the parameter σ < ...given ... See full document

... hybrid method of the Polak-Ribière-Polyak (PRP) method and the Wei-Yao-Liu (WYL) method is proposed for unconstrained optimization pro- blems, which possesses the following proper- ... See full document

... (PRP) conjugate gradient methods for unconstrained optimization are ...PRP method proposed by Cheng ...PRP method proposed by Zhang et ...the descent PRP method ... See full document

... FR conjugate gradient method(MFR) is presented for solving unconstrained optimization ...sufficient descent property of the MFR method is satisfied without any line ...MFR ... See full document

... large-scale nonlinear optimization ...reliable method for solving large-scale problems. Newton's method is well known and widely used to find zeroes of differentiable ... See full document

... step nonlinear conjugate gradient methods [3], a scaled nonlinear conjugate gradient algorithm[1], a method called, ABS-MPVT algorithm [12] are used for solving ... See full document

... steepest descent direction converge very ...Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear ...A new stepsize enables fast convergence and ... See full document

... the new formula ...and conjugate direction (CD) ,the comparative tests involve well-known nonlinear problems (standard test function) with different dimension 4 ≤n≤5000, all programs are written in ... See full document

... PRP method can cycle infinitely without approaching to a stationary ...a descent direction, Yuan [20] has established the global convergence of the PRP method for strongly convex objec- tive ... See full document

... PRP method, which is generally believed to be the most efficient conjugate gradient methods, and has got meticulous in recent ...the method is that they essentially perform a restart if a bad ... See full document

... The conjugate gradient method is a very useful technique for solving minimization problems and has wide applications in many ...a new conjugate gradient methods by) for ... See full document

... NH3 method, where the last two methods produce sufficient descent search direction at every itera- ...three new methods even for nonconvex ...the new three algorithms are all efficient for the ... See full document

... The nonlinear conjugate gradient method is one of the best methods to solve uncon- strained optimization ...of unconstrained optimization al- gorithms which is ... See full document