Operations Research Transactions ›› 2010, Vol. 14 ›› Issue (3): 122-128.
• Original Articles • Previous Articles
YAN Hui, Chen-Lan-Ping
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Abstract: In this paper, we propose a new algorithm for unconstrained optimization.It makes Touati-Ahmed and Storey's and Nocedal and Gilbert's hybrid conjugate gradient methods to be special cases under precise line search.From the construction of the new formula $\beta_{k}$, the new algorithm satisfies descent conditions turally. And this property depends neither on the line search used nor on the convexity of the objective function.Under normal conditions, we prove the new method can ensure the global convergence. Numerical results also show its efficiency.
YAN Hui, Chen-Lan-Ping. Extended AS-GN Hybrid Conjugate Gradient Method[J]. Operations Research Transactions, 2010, 14(3): 122-128.
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https://www.ort.shu.edu.cn/EN/Y2010/V14/I3/122