矩阵分解以及应用

矩阵分解及其应用
 
摘  要：本文主要给出了矩阵的3角分解、满秩分解以及奇异值分解的具体方法，并讨论它们的1些相关应用。

关键词：矩阵分解；3角分解；满秩分解；奇异值分解；初等变换

Matrix decompositions and their applications

Abstract：This article mainly produced the matrix triangle todecompose the concrete method which, the full rank decomposition aswell as the singular value decomposed, and discussed their somecorrelation applications.

Keywords：matrix decomposition；triangle decomposition；full rank decomposition；singular   value decomposition；elementary operation

目  录

0、引言…………………………………………………………1
1、矩阵的3角分解……………………………………………1
2、矩阵的满秩分解……………………………………………5
3、矩阵的奇异值分解…………………………………………9
4、总结…………………………………………………………11
5、参考文献……………………………………………………12