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矩陣的分解及其應(yīng)用

時(shí)間:2023-03-07 08:19:02 數(shù)學(xué)畢業(yè)論文 我要投稿
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矩陣的分解及其應(yīng)用

矩陣的分解及其應(yīng)用

摘要

矩陣分解在矩陣的理論研究及其應(yīng)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(mǎn)秩分解、譜分解,以及各種分解方法的應(yīng)用。
關(guān)鍵詞:矩陣;分解;3角分解;滿(mǎn)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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