矩阵的分解及其应用

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 ﭢ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 ッ分解、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; tri©angular decomposition; full rank decomposition; fu✔ll rank decomposition; spectral decomposition