| 矩阵奇异值分解定理的直观证明 |
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| 引用本文： | 邓勇,陈聪. 矩阵奇异值分解定理的直观证明[J]. 高师理科学刊, 2014, 0(5): 29-30 |
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| 作者姓名： | 邓勇 陈聪 |
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| 作者单位： | 喀什师范学院数学系; |
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| 摘 要： | 矩阵的奇异值分解定理是矩阵论的一个基本定理.传统教材中给出的证明方法往往缺乏几何直观.为此,借助正交投影和一个基本三角函数的极限,给出实矩阵奇异值分解定理证明方法的一个更具几何直观的备选方案.
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| 关 键 词： | 奇异值分解 矩阵范数 正交投影 |
An alternative proof of singular value decomposition theorem |
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| DENGYong,CHEN Cong. An alternative proof of singular value decomposition theorem[J]. Journal of Science of Teachers＇College and University, 2014, 0(5): 29-30 |
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| Authors: | DENGYong CHEN Cong |
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| Affiliation: | ( Department of Mathematics, Kashgar Teacher＇s College, Kashgar 844006, China ) |
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| Abstract: | Singular value decomposition theorem is a fundamental theorem of matrix theory.Usually,the proof of theorem in traditional textbooks lacks geometric intuition.Gave alternative proof with geometric intuition of real matrix singular value decomposition theorem by using orthogonal projection and basic limit of trigonometric. |
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| Keywords: | singular value decomposition matrix norms orthogonal projection |
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