奇异值与矩阵范数及条件数的关系研究 |
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引用本文: | 施吕蓉.奇异值与矩阵范数及条件数的关系研究[J].菏泽师专学报,2012(5):18-20. |
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作者姓名: | 施吕蓉 |
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作者单位: | 芜湖职业技术学院基础部,安徽芜湖241003 |
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基金项目: | 安徽省质量工程教学研究项目(20101296) |
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摘 要: | 奇异值分解定理(SVD)是一种在理论上和应用上都非常重要的矩阵分解定理.文中引入它的各种形式,建立了奇异值与矩阵的范数和条件数的关系.
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关 键 词: | 奇异值 矩阵函数 矩阵条件数 |
A Study of the Relationship between Singular Value Matrix Norm and Condition Number Triadic |
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Institution: | SHI LV - rong ( Basic Department, Wuhu Institute of Technology, Wuhu Anhui 241003, China) |
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Abstract: | Singular value decomposition ( SVD ) is and application. This paper introduces its all forms and matrix norm and the condition number. a very important matrix decomposition theorem establishs the relationship between the singular |
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Keywords: | SVD matrix function matrix condition number in theory value and |
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