title: The Modified HZ Conjugate Gradient Algorithm for Large-Scale Nonsmooth Optimization.
abstract: In this paper, the Hager and Zhang (HZ) conjugate gradient (CG) method and the modified HZ (MHZ) CG method are presented for large-scale nonsmooth convex minimization. Under some mild conditions, convergent results of the proposed methods are established. Numerical results show that the presented methods can be better efficiency for large-scale nonsmooth problems, and several problems are tested (with the maximum dimensions to 100,000 variables).
authors: Guangxi Colleges and Universities Key Laboratory of Mathematics and Its Applications, College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China.|College of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China.
authors: Gonglin
authors: G
authors: Yuan
authors: Guangxi Colleges and Universities Key Laboratory of Mathematics and Its Applications, College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China.
authors: Zhou
authors: Z
authors: Sheng
authors: School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing 210044, China.|Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science & Technology, Nanjing 210044, China.
authors: Wenjie
authors: W
authors: Liu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics