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Analysis on the conjugate gradient method

 

作者: Ya-Xiang Yuan*,  

 

期刊: Optimization Methods and Software  （Taylor Available online 1993）
卷期: Volume 2, issue 1  

页码: 19-29

 

ISSN:1055-6788

 

年代: 1993

 

DOI:10.1080/10556789308805532

 

出版商: Gordon and Breach Science Publishers

 

关键词: Conjugate gradient;quadratic termination;linear convergence.

 

数据来源: Taylor

 

摘要:

In this paper we analyze the conjugate gradient method when the objective function is quadratic. We apply backward analyses to study the quadratic termination of the conjugate gradient method. Forward analyses are used to derive some properties of the conjugate gradient method, including the only linear convergence of the method and an upper bound for the rate of convergence.

 

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