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