| 增广Krylov子空间上的精化Lanczos方法 |
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| 引用本文： | 马奕.增广Krylov子空间上的精化Lanczos方法[J].龙岩学院学报,2009,27(5):5-7. |
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| 作者姓名： | 马奕 |
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| 作者单位： | 龙岩学院数学与计算机科学学院,福建龙岩,364012 |
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| 摘 要： | 精化Lanczos方法用于计算大规模对称矩阵特征对,与传统的Lanczos方法不同,主要是利用精化向量的优越性,用精化向量替代Ritz向量,介绍了用精化Lanczos重启方法和精化Lanczos压缩重启求近似特征对,理论上分析它们与传统方法的差别及优劣性。
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| 关 键 词： | 精化投影 Ritz对 精化Ritz对 精化Lanczos方法 Lanczos压缩重启 |
The Refined Lanczos Method for an Augmented Krylov Subspace |
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| MA Yi.The Refined Lanczos Method for an Augmented Krylov Subspace[J].Journal of Longyan Univercity,2009,27(5):5-7. |
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| Authors: | MA Yi |
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| Abstract: | The refined Lanczos method is used for computing some eigenpairs of large symmetric matrices.In contrast to the standard Lanczos method,the fundamental difference is that the refined Ritz vectors take the place of the Ritz vectors by the advantage of the refined Ritz vectors.The refined Lanczos method and refined Lanczos with deflated restarting method are used to compute the approximate eigenpairs.Theoretical analysis shows the difference between the new methods and the old methods and show which one is be... |
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| Keywords: | refined projection Ritz pairs refined Ritz pairs refined Lanczos method Lanczos with deflated restarting |
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