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期刊论文

Performance analysis of preconditioners based on Broyden method☆

杨庚Peng Jiang Geng Yang*

Applied Mathematics and Computation 178(2006)295-308,-0001,():

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摘要/描述

Solving nonlinear equations is a problem often needed to be dealt with in the practical engineering application. This paper discusses preconditioning methods based on Block Broyden method. It first introduces the Block Broyden method and preconditioning technique. Then it presents four different preconditioners for the Block Broyden method and discusses the implementation process. It also analyzes the time complexity of the four algorithms. Finally. it solves the nonlinear systems arising from the Bratu problem by the four preconditioning algorithms. Experimental results show that the preconditioning technique is effective for the Block Broyden method and that the preconditioner SSOR has the fastest solving speed and the best performance among the four preconditioners. Therefore. it can be used in the large-scale problems arising from scientific and engineering computing.

【免责声明】以下全部内容由[杨庚]上传于[2009年08月30日 13时41分44秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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