| An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion |
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| 引用本文： | Qian Yin Linzhang Lu. An Implicitly Restarted Block Arnoldi Method in a Vector-Wise Fashion[J]. 高等学校计算数学学报(英文版), 2006, 15(3): 268-277 |
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| 作者姓名： | Qian Yin Linzhang Lu |
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| 作者单位： | Qian Yin and Linzhang Lu School of Mathematical Science，Xiamen University，Xiamen 361005，China. |
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| 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.
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| 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 |
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| 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 |
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| Authors: | Qian Yin Linzhang Lu |
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| 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. |
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| Keywords: | IRAM Arnoldi-type algorithm vector-wise block Arnoldi implicit restart. |
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