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一类共轭梯度法的全局收敛性 被引量:3

The global convergence of a class of conjugate gradient methods
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摘要 将具有某种性质的一类共轭梯度法与一种Armijo型线搜索方法相结合,得到了一类新的共轭梯度算法,证明了这类新算法是全局收敛的,PRP方法为其一个特例。数值试验表明,新算法是有效的。 Conjugate gradient methods with a certain kind of Property under an Armijo-type line search were investigated.These methods include the well-known PRP method as a special case,and the global convergence of the methods is proved.Preliminary numerical results show that these methods are efficient.
作者 程李晴
机构地区 新乡医学院
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2010年第5期101-105,110,共6页 Journal of Shandong University(Natural Science)
关键词 无约束优化 PRP共轭梯度法 ARMIJO型线搜索 全局收敛 unconstrained optimization the Polak-Ribière-Polyak conjugate gradient method Armijo-type line search global convergence
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