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矩阵的分解及其应用
摘要
矩阵分解在矩阵的理论研究及其应用中有重要的意义。本文介绍了矩阵的几种分解方法:3角分解、正交角分解、满秩分解、谱分解,以及各种分解方法的应用。
关键词:矩阵;分解;3角分解;满秩分解;正交分解;谱分解
Matrix Decompose and its Applications
ABSTRACT
Matirx decompose have very important roles in the matrix theory and application studying. In this paper, several kinds of matrix decomposition , such as triangular decomposition, full rank decomposition n, full rank decomposition and spectral decomposition, have been introduced. And the applications of these matrix decomposition have also been given.
Key word: matrix; decomposition; triangular decomposition; full rank decomposition; full rank decomposition; spectral decomposition