矩陣分解及其應用
摘 要：本文主要給出了矩陣的3角分解、滿秩分解以及奇異值分解的具體方法，並討論它們的1些相關應用。
關鍵詞：矩陣分解；3角分解；滿秩分解；奇異值分解；初等變換
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 錄
0、引言…………………………………………………………1
1、矩陣的.3角分解……………………………………………1
2、矩陣的滿秩分解……………………………………………5
3、矩陣的奇異值分解…………………………………………9
4、總結…………………………………………………………11
5、參考文獻……………………………………………………12