[PDF] Top 20 A Non-Monotone Conic Trust Region Method With Line Search For Unconstrained Optimization

... either line search method or trust region ...method. Trust region method has strong convergence and robustness, can be applied to ill-conditioned ...of ... See full document

... the line search methods play a very important role for optimization ...new line search method is proposed for solving unconstrained ...this method possesses global ... See full document

... a non-monotone trust region method with non-monotone line search strategy for unconstrained optimization ...traditional non-mono- tone ... See full document

... without line search for solving unconstrained optimization ...the search direction to more general form, and also obtain the global convergence of corresponding algo- ... See full document

... Quasi-Newton methods are considered to be one of the most important algorithms for solving problem (Eq. 1), the methods of Quasi-Newton have been a major advance in the theoretical aspect as a result of the development ... See full document

... Non-monotonic line search technique for unconstrained optimization is first proposed by Grippo et ...the non-monotone technique to trust region method ... See full document

... Exact line searches along each steepest descent direction converge very ...Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear ...possesses ... See full document

... gradient method to solve unconstrained optimization problems is proposed which satisfies the sufficient descent condition in the case of the strong Wolfe line search, and its global ... See full document

... previous method and then introduces several other steps, thereby increasing computer time and computer storage space, only to obtain the selection of near-optimal factors settings which is iterative in ...mental ... See full document

... large-scale unconstrained optimization problems and nonlinear equations, we propose a new three-term conjugate gradient algorithm under the Yuan–Wei–Lu line search ...descent method ... See full document

... for unconstrained optimization are ...PRP method proposed by Cheng ...PRP method proposed by Zhang et ...PRP method proposed by Yu et ...any line searches. Moreover, if the exact ... See full document

... these line search approaches are well defined and have the advantage that they can guarantee the global convergence of the original PRP ...Wolfe line search, they are computationally ... See full document

... hybrid method combining the FR conjugate gradient method and the WYL conjugate gradient method is proposed for unconstrained optimization ...presented method possesses the ... See full document

... direct search methods have seen a ...direct search method to achieve convergence, it often needs to employ one of the following three techniques, namely line searches, trust regions and ... See full document

... SQP method, trust region method, inte- rior-point method, line search methods, respectively, and obtained some interesting results about the filter ... See full document

... new non-monotone adaptive trust region method f or unconstrained optimization ...of non-monotone line search with the ratio of actual reduction ... See full document

... the monotone trust region methods, the sequence of the objective val- ues is monotonically ...of non- monotone strategies have been introduced in the framework of trust ... See full document

... the trust region method; Newton method; DFP method and BFGS method and so ...straight line as its searching direction to searching line in ...the trust ... See full document

... important non-differentiable optimization ...e.g., line search method SQP method, trust region method and the active- set method, for solving Minimax ... See full document

... Each type of methods which used to solve these problems is a reliable tool in solving optimization problems. For example, the integer programming (IP), a well- known method in optimization that can ... See full document