矩陣的分解及其應用

矩陣的分解及其應用

摘要

矩陣分解在矩陣的理論研究及其應用中有重要的意義。本文介紹了矩陣的幾種分解方法：3角分解、正交角分解、滿秩分解、譜分解，以及各種分解方法的應用。
關鍵詞：矩陣；分解；3角分解；滿秩分解；正交分解；譜分解

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

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