A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations

Gonglin Yuan, Zehong Meng, Yong Li

Type: Article

Publication Date: 2015-07-20

Citations: 105

DOI: https://doi.org/10.1007/s10957-015-0781-1

View Publication

Locations

RePEc: Research Papers in Economics - View
Journal of Optimization Theory and Applications - View

Similar Works

Action	Title	Year	Authors
+	A modified three-term HS conjugate gradient method for solving nonsmooth minimizations	2018	Yong Li Songhua WANG
+	A Modified Nonlinear Conjugate Gradient Algorithm for Large-Scale Nonsmooth Convex Optimization	2020	Tsegay Giday Woldu Haibin Zhang Xin Zhang Yemane Hailu Fissuh
+	A smoothing conjugate gradient method for solving systems of nonsmooth equations	2013	Yasushi Narushima
+	A conjugate gradient sampling method for nonsmooth optimization	2019	Nezam Mahdavi‐Amiri M. Shaeiri
+	A Modified Hestenes-Stiefel Conjugate Gradient Method and Its Convergence	2010	Zeng Xin - Wei Hai Hai Dong Huang Yah Rong Tao Tao
+	A Modified Hestenes-Stiefel Conjugate Gradient Method and its Global convergence for unconstrained optimization	2014	Ghada M. Al-Naemi
+	A New Hestenes-Stiefel and Fletcher-Reeves Conjugate Gradient Method with Descent Properties for Optimization Models	2020	SalehNazzal Alsuliman Ibrahim Mohammed Sulaiman Mustafa Mamat DeibyT Salaki Nelson Nainggolan
+	Modified nonlinear conjugate gradient methods with sufficient descent property for large-scale optimization problems	2008	Gonglin Yuan
+	An Accelerated Three-Term Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations	2017	Mohammed Yusuf Waziri Lawal Muhammad
+	Multi-step nonlinear conjugate gradient methods for unconstrained minimization	2007	John Ford Yasushi Narushima Hiroshi Yabe
+	Modified Liu–Storey Type Nonlinear Conjugate Gradient Method for Large-Scale Unconstrained Optimization	2012	Fenghua Wen Zhifeng Liu Bingquan Liu Zhifeng Dai
+	New conjugate gradient methods for solving large-scale unconstrained optimization problems	2013	Mohd Rivaie Mohd Ali
+	A Conjugate Gradient Method for Large Scale Unconstrained Optimization	2016	Mohammed Belloufi Rachid Benzine Badreddine Sellami
+	A Modified Conjugate Gradient Solver for Very Large Systems	1985	D. Barkai K.J.M. Moriarty C. Rebbi
+	Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization	2023	Xiaoliang Dong
+	A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems	1994	Tony F. Chan Tedd Szeto
+	A modified spectral conjugate gradient method for solving unconstrained minimization problems	2020	A. A. Danhausa Remilekun Odekunle Adeniyi Samson Onanaye
+	A Modified Nonmonotone Hestenes–Stiefel Type Conjugate Gradient Methods for Large-Scale Unconstrained Problems	2016	Xiaoliang Dong Hongwei Liu Xiangli Li Yubo He Zexian Liu
+	A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs	2014	YuanGonglin WeiZengxin LiGuoyin
+	Norm descent conjugate gradient methods for solving symmetric nonlinear equations	2014	Yunhai Xiao Chunjie Wu Soon‐Yi Wu

Works That Cite This (93)

Action	Title	Year	Authors
+ PDF Chat	A Conjugate Gradient Algorithm under Yuan-Wei-Lu Line Search Technique for Large-Scale Minimization Optimization Models	2018	Xiangrong Li Songhua Wang Zhongzhou Jin Hongtruong Pham
+ PDF Chat	A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations	2020	Zhou Sheng Dan Luo
+	A Three-Term Conjugate Gradient Algorithm with Quadratic Convergence for Unconstrained Optimization Problems	2018	Gaoyi Wu Yong Li Gonglin Yuan
+	Adaptive three-term PRP algorithms without gradient Lipschitz continuity condition for nonconvex functions	2022	Gonglin Yuan Heshu Yang Mengxiang Zhang
+	New Hybrid Conjugate Gradient Method As A Convex Combination of Ls and Fr Methods	2019	Snežana Djordjević
+ PDF Chat	The Modified HZ Conjugate Gradient Algorithm for Large-Scale Nonsmooth Optimization	2016	Gonglin Yuan Zhou Sheng Wenjie Liu
+ PDF Chat	A quasi-Newton algorithm for large-scale nonlinear equations	2017	Huang Ling-hua
+	A fast conjugate gradient algorithm with active set prediction for ℓ<sub>1</sub> optimization	2018	Wanyou Cheng Qingjie Hu Donghui Li
+	A Variable Search Space Strategy Based on Sequential Trust Region Determination Technique	2019	Qinqin Fan Xuefeng Yan Yilian Zhang Changming Zhu
+ PDF Chat	A Modified Gradient Method for Distributionally Robust Logistic Regression over the Wasserstein Ball	2023	Luyun Wang Bo Zhou

Works Cited by This (86)

Action	Title	Year	Authors
+	A modified PRP conjugate gradient algorithm with nonmonotone line search for nonsmooth convex optimization problems	2015	Gonglin Yuan Zengxin Wei
+	Trust Region Methods	2000	Andrew R. Conn Nicholas I. M. Gould Philippe L. Toint
+ PDF Chat	Convergence Analysis of Some Methods for Minimizing a Nonsmooth Convex Function	1998	John R. Birge Liqun Qi Zhaoying Wei
+	Convex analysis and minimization algorithms	1993	Jean‐Baptiste Hiriart‐Urruty Claude Lemaréchal
+	New limited memory bundle method for large-scale nonsmooth optimization	2004	Marjo Haarala Kaisa Miettinen Marko M. Mäkelä
+ PDF Chat	Tensor methods for large sparse systems of nonlinear equations	1998	Ali Bouaricha Robert B. Schnabel
+	A conjugate gradient method with descent direction for unconstrained optimization	2009	Gonglin Yuan Xiwen Lu Zengxin Wei
+	A new method for nonsmooth convex optimization	1998	Z Wel Liqun Qi JR Birge
+	A modified PRP conjugate gradient method	2008	Gonglin Yuan Xiwen Lu
+	A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence	2006	Li Zhang Weijun Zhou Donghui Li