Y.-H. Dai. Convergence properties of the BFGS algoritm. SIAM Journal on Optimization, 13(3):693-701, 2002.Convergence properties of the BFGS algoritm. Yu-Hong Dai. SIAM Journal on Optimization . 2002Y.-H. Dai, "Convergence properties of the bfgs algoritm," SIAM Journal on Optimization, ...
In fact, by the Sherman-Morrison formula, all choices but one maintain invertibility. The Broyden-like method is well known, cf. [22], [28, Section 6] and [16, Algorithm 1]. In this work, we consider Algorithm 1 for mixed linear-nonlinear systems of equations. That is, there exists ...
Convergence properties of a class of multi-directional parallel quasi-Newton algorithms for the solution of unconstrained minimization problems are studied... CX Xu,YT Yang - 《计算数学(英文版)》 被引量: 0发表: 2005年 CONVERGENCE PROPERTIES OF A MODIFIED BFGSALGORITHM FOR MINIMIZATION WITHARMIJO-GO...
Powell, "Some global convergence properties of a variable metric algorithm... MJD Powell - Siam-ams 被引量: 701发表: 1975年 Global convergence of the fletcher-reeves algorithm with inexact linesearch In this paper, we investigate the convergence properties of the Fletcher-Reeves algorithm. Under ...
Application of physics encoded neural networks to improve predictability of properties of complex multi-scale systems. Sci. Rep. 14(1), 1–12 (2024). Article Google Scholar Zhu, Q., Liu, Z. & Yan, J. Machine learning for metal additive manufacturing: Predicting temperature and melt pool ...
methodsusingtheSR1,PSB,andBFGSupdatesareeffectivemethodsforsolving unconstrainedoptimizationproblems.Inaddition,theanalysesinPowell[1975] andByrd,Khalfan,andSchnabel[1993]demonstratestrongconvergenceproperties forsometrust-regionquasi-Newtonmethods.Acomputationaldisadvantageofthe methodsanalyzedinthesepapers,forwhichthe...
2.The parametric iterative methods of quadratic convergence without the derivative for solving nonlinear equations are discussed in this paper.虽然它一般至少是二阶收敛的,但它需要调用导数值,这使其应用受到限制。 3.An attractive property of the structured BFGS method is its local superlinear/quadratic co...
[2] Polyak B T. The conjugate gradient method in extreme problems[J]. USSR Computational Mathematics and Mathematical Physics, 1969, 9(1): 94-112. [3] Dai Y H, Yuan Y X. Some new properties of a nonlinear conjugate gradient method Research report ICM-98-010[R]. Institute of Computatio...
A Class of Generalized Quasi-Newton Algorithms with Superlinear Convergence; 具有超线性收敛性质的一类广义拟牛顿算法 2. The Wolf e linear search is adopted to replace the Armijo linear search in the BFGS-SQP algorithm, through the same analysis, the algorithm even have global and superlinear conv...
An attractive property of the structured BFGS method is its local superlinear/quadratic convergence property for the nonzero/zero residual problems. 它们充分利用了目标函数的Hesse矩阵的结构以提高算法的效率,该算法的显著优点是对于零残量问题具有二阶收敛性而对于非零残量问题具有超线性收敛性。 更多例句>>...