| Gram-Schmidt算法及其并行实现 |
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| 引用本文： | 赵韬,刘俊,迟学斌. Gram-Schmidt算法及其并行实现[J]. 微电子学与计算机, 2007, 24(9): 137-140 |
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| 作者姓名： | 赵韬 刘俊 迟学斌 |
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| 作者单位： | 中国科学院,计算机网络信息中心,超级计算中心,北京,100080 |
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| 摘 要： | 通过分析MGSC,MGSR和CGS算法,提出用CGS重正交的MGSR算法,新算法保留了CGS和MGSR可以调用2级BLAS的优点,同时避免了MGSC通信多的缺点。数值实验证明,新算法具有较好的并行效率。
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| 关 键 词： | 正交化 童正交 数值线性代数 |
| 文章编号： | 1000-7180（2007）09-0137-04 |
| 修稿时间： | 2007-06-23 |
Gram-Schmidt Algorithm and Its Parallel Implementation |
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| ZHAO Tao,LIU Jun,CHI Xue-bin. Gram-Schmidt Algorithm and Its Parallel Implementation[J]. Microelectronics & Computer, 2007, 24(9): 137-140 |
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| Authors: | ZHAO Tao LIU Jun CHI Xue-bin |
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| Affiliation: | Supercomputing Center, Computer Network Information Center, CAS, Beijing 100080, China |
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| Abstract: | In this paper, We study several variants of Gram-Schmidt algorithm and then propose a new row-wise MGS(MGSR) algorithm with CGS reorthogonalization. New algorithm can make use of 2 level BLAS and avoid communicating too much like MGSC. Numerical experiments prove that new algorithm has better parallel performance. |
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| Keywords: | Gram-Schmidt |
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