| 关于矩阵秩显示双边正交分解RRURVD的应用 |
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| 引用本文： | 周珊珊,张守信.关于矩阵秩显示双边正交分解RRURVD的应用[J].中国海洋大学学报(自然科学版),1998(3). |
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| 作者姓名： | 周珊珊 张守信 |
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| 作者单位： | 青岛海洋大学应用数学系(周珊珊)，山东莒南一中(张守信) |
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| 摘 要： | 矩阵分解是矩阵计算的重要工具。针对整体最小二乘、子集选择、子空间计算等实际问题，通过比较应用ＲＲＵＲＶＤ和ＳＶＤ两种分解方法得到的结果，说明ＲＲＵＲＶＤ是ＳＶＤ的良好替代方法。
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| 关 键 词： | 矩阵分解 秩亏损矩阵 奇异值分解 整体最小二乘 子集选择 子空间 |
The Application of Rank Revealing Two Sided Orthogonal Decompositions |
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| Zhou Shanshan.The Application of Rank Revealing Two Sided Orthogonal Decompositions[J].Periodical of Ocean University of China,1998(3). |
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| Authors: | Zhou Shanshan |
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| Abstract: | Matrix decomposition is an important tool for matrix computation. In 1990, Stewart proposed a rank revealing two sided orthogonal decomposition RRURVD, which is a favorable alternative to the Singular Value Decomposition (SVD). The application of RRURVD is considered in certain fields, such as the Total Least Square problem, Subset Selection problem and Subspace Computation etc.. |
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| Keywords: | matrix decomposition rank deficent matrix singular value decomposition (SVD) total least square subset selection subspace computation |
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