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An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion
作者姓名:Qian  Yin  Linzhang  Lu
作者单位:Qian Yin and Linzhang Lu School of Mathematical Science,Xiamen University,Xiamen 361005,China.
摘    要:In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is effective.

关 键 词:IRAM  Arnoldi算法  隐启动  Krylov方法
收稿时间:2005-04-19
修稿时间:2005-07-31

An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion
Qian Yin Linzhang Lu.An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion[J].Numerical Mathematics A Journal of Chinese Universities English Series,2006,15(3):268-277.
Authors:Qian Yin  Linzhang Lu
Abstract:In this paper, we develop an implicitly restarted block Arnoldi algorithm in a vector-wise fashion. The vector-wise construction greatly simplifies both the detection of necessary deflation and the actual deflation itself, so it is preferable to the block-wise construction. The numerical experiment shows that our algorithm is effective.
Keywords:IRAM  Arnoldi-type algorithm  vector-wise block Arnoldi  implicit restart  
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