[HTML][HTML] A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing

Y Xiao, H Zhu - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
CG_DESCENT is a state-of-the-art algorithm to solve large-scale unconstrained
minimization problems. However, research activities on CG_DESCENT in some other …

Limited conjugate gradient method for structural reliability analysis

B Keshtegar - Engineering with Computers, 2017 - Springer
A limited conjugate gradient method is proposed to improve the robustness and efficiency of
the first-order reliability method (FORM). A new search direction vector is developed for …

A self-adjusting conjugate gradient method with sufficient descent condition and conjugacy condition

XL Dong, H Liu, Y He - Journal of Optimization Theory and Applications, 2015 - Springer
In this paper, a self-adjust conjugate gradient method is proposed for solving unconstrained
problems, which can generate sufficient descent directions at each iteration. Different from …

New hybrid conjugate gradient method as a convex combination of FR and PRP methods

SS Djordjević - Filomat, 2016 - JSTOR
We consider a new hybrid conjugate gradient algorithm, which is obtained from the
algorithm of Fletcher-Reeves, and the algorithm of Polak-Ribière-Polyak. Numerical …

Norm descent conjugate gradient methods for solving symmetric nonlinear equations

Y Xiao, C Wu, SY Wu - Journal of Global Optimization, 2015 - Springer
Nonlinear conjugate gradient method is very popular in solving large-scale unconstrained
minimization problems due to its simple iterative form and lower storage requirement. In the …

A modified projected conjugate gradient algorithm for unconstrained optimization problems

S Huang, Z Wan, S Deng - The ANZIAM Journal, 2013 - cambridge.org
We propose a modified projected Polak–Ribière–Polyak (PRP) conjugate gradient method,
where a modified conjugacy condition and a method which generates sufficient descent …

[PDF][PDF] 一种基于预处理共轭梯度法的给水管网水力计算方法

王美香 - 郑州轻工业学院学报(自然科学版), 2014 - qgxb.zzuli.edu.cn
提出了一种新的给水管网水力计算方法. 该方法对给水管网系统的节点流量连续性方程进行重新
构造, 用改进的cholesky 分解方法对重新构造的矩阵进行三角分解, 然后使用预处理共轭梯度法 …

[PDF][PDF] 一类Armijo 搜索下的混合HS-PRP 共轭梯度法

董晓亮, 高岳林, 何郁波 - 2013 - researchgate.net
对于无约束优化问题, 本文对搜索方向进行调整, 提出了一类混合HS-PRP 共轭梯度法,
该方法在每步迭代中都能不依赖于任何搜索而自行产生充分下降方向. 在精确搜索下 …

[HTML][HTML] A modified conjugate gradient algorithm with cyclic Barzilai–Borwein steplength for unconstrained optimization

Y Xiao, H Song, Z Wang - Journal of Computational and Applied …, 2012 - Elsevier
For solving large-scale unconstrained minimization problems, the nonlinear conjugate
gradient method is welcome due to its simplicity, low storage, efficiency and nice …

L'exploitation de la structure partiellement-séparable dans les méthodes quasi-Newton pour l'optimisation sans contrainte et l'apprentissage profond

P Raynaud - 2024 - theses.hal.science
Cette thèse est centrée autour de l'utilisation de la structure partiellement séparable pour
l'optimisation sans contraintes, notamment pour les méthodes quasi-Newton et …