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矩阵奇异值分解及其应用研究
引用本文:叶松林. 矩阵奇异值分解及其应用研究[J]. 勘察科学技术, 1996, 0(5): 41-44,40
作者姓名:叶松林
作者单位:中南工业大学!长沙市410083
摘    要:文章简述了矩阵奇异值分解的理论与性质,着重研究了其解算病态方程的思想、特点和存在的问题,并用实例进行了计算,最后推荐在数据处理时可使用奇异值分解法.

关 键 词:奇异值分解  广义岭估计  病态方程

STUDY ON SINGULAR VALUE DECOMPOSITION OF MATRIX AND ITS APPLICATION
Ye Songlin. STUDY ON SINGULAR VALUE DECOMPOSITION OF MATRIX AND ITS APPLICATION[J]. Site Investigation Science and Technology, 1996, 0(5): 41-44,40
Authors:Ye Songlin
Affiliation:Central South University of Technology
Abstract:This paper describes breifly the theory and character of singular value decomposition of matrix, emphasizes the idea, characteristic and existing problems of solving the ill-conditioned equations, and calculation has been conducted by practical examples. Finally the singular value decomposition method is recommended in data processing.
Keywords:singular value decomposition (SVD)  generalized ridge estimate (GRE)  ill-conditiond equation series  
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