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Jornda標準形的求法及其應用

時間:2019-05-21 13:08來源:畢業論文
介紹了若爾當標準形的兩種求法和其在矩陣的高次冪計算與計算矩陣多項式中的應用.復數域上每個矩陣都相似于一個若爾當標準形.方法一探討通過初等變換求出初等因子,然后由初等因

摘要:本文介紹了若爾當標準形的兩種求法和其在矩陣的高次冪計算與計算矩陣多項式中的應用.復數域上每個矩陣都相似于一個若爾當標準形.方法一探討通過初等變換求出初等因子,然后由初等因子可以得到矩陣的若爾當標準形.方法二通過探討特征子空間與若爾當標準形的關系來計算矩陣的若爾當標準形.35630
畢業論文關鍵詞:初等因子;若爾當標準形;特征子空間;幾何重數; 代數重數
Jornda canonical form of calculation methods and                  their applications
Abstract: This paper introduces Jornda standard form of two kinds of calculation methods and the matrix of high order power calculation and the application of the calculation of matrix polynomial. On each matrix is similar to a complex domain Jornda a standard form. By using elementary transformation method is a research on the primary factor, and the primary factor can be obtained if, when the canonical form of matrix. Method 2 by discussing feature vector space and if, when the standard form of relationship to calculate if, when the canonical form of matrix.
Keywords: Primary factor; Jornda canonical form;Feature vector space; Geometric multiplicity;  the algebraic multiplicity
目    錄
摘要    1
引言    2
1 預備知識3
2 Jornda標準形的求法5
2.1利用初等因子的理論計算Jornda標準形    5
   2.2 特征子空間與若爾當標準形6
3 若爾當標準形的應用9                                                                                                       源¥自%六^^維*論-文+網=www.aftnzs.live
   3.1 在矩陣的高次冪計算中的應用.9 
    3.2 在計算矩陣多項式中的應用11
4 結束語14
參考文獻    15
致謝    16
Jornda標準形的求法及其應用
引言                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Jornda標準形的求法及其應用:http://www.aftnzs.live/shuxue/20190521/33663.html
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