The Modified HZ Conjugate Gradient Algorithm for Large-Scale Nonsmooth Optimization.

Yuan, Gonglin; Sheng, Zhou; Liu, Wenjie · PLoS One · 2016

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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).

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