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TESTING DIFFERENT CONJUGATE GRADIENT METHODS FOR LARGE—SCALE UNCONSTRAINED OPTIMIZATION
引用本文:Yu-hongDai QinNi. TESTING DIFFERENT CONJUGATE GRADIENT METHODS FOR LARGE—SCALE UNCONSTRAINED OPTIMIZATION[J]. 计算数学(英文版), 2003, 21(3): 311-320
作者姓名:Yu-hongDai QinNi
作者单位:[1]LSEC,ICMSEC,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China [2]CollegeofScience,NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,China
基金项目:Research partially supported by Chinese NSF grants 19801033,19771047 and 10171104
摘    要:In this PaPer we test different conjugate gradient (CG) methods for solving large-scale unconstrained optimization problems.The methods are divided in two groups:the first group includes five basic CG methods and the second five hybrid CG methods.A collection of medium-scale and large-scale test problems are drawn from a standard code of test problems.CUTE.The conjugate gradient methods are ranked according to the numerical results.Some remarks are given.

关 键 词:共轭梯度法 大尺度无约束最优化问题 数值检验 CUTE PRP方法 HS方法 DYHS2方法

TESTING DIFFERENT CONJUGATE GRADIENT METHODS FOR LARGE-SCALE UNCONSTRAINED OPTIMIZATION
Yu-hong Dai. TESTING DIFFERENT CONJUGATE GRADIENT METHODS FOR LARGE-SCALE UNCONSTRAINED OPTIMIZATION[J]. Journal of Computational Mathematics, 2003, 21(3): 311-320
Authors:Yu-hong Dai
Abstract:In this paper we test different conjugate gradient (CG) methods for solving large-scale unconstrained optimization problems. The methods are divided in two groups: the first group includes five basic CG methods and the second five hybrid CG methods. A collection of medium-scale and large-scale test problems are drawn from a standard code of test problems, CUTE. The conjugate gradient methods are ranked according to the numerical results. Some remarks are given.
Keywords:Conjugate gradient methods   Large-scale   Unconstrained optimization   Numerical tests.  
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