约当标准形的理论推导和过渡矩阵的求法  

THE METHOD OF PROVING JORDAN CANONICAL MATRIX AND DETERMINING TRANSITION MATRIX

作　　者：李桃生[1] 

机构地区：[1]华中师范大学数学系

出　　处：《华中师范大学学报（自然科学版）》1991年第1期13-16,共4页Journal of Central China Normal University：Natural Sciences

摘　　要：本文介绍的约当标准形的理论推导和过渡矩阵的求法有以下特点:1°不依赖于λ-矩阵的理论,证明比较简单;2°容易求得约当标准形和过渡矩阵;3°便于在计算机上应用。In order to prove that a matrix is similar to Jordan canonical matrix, usually we have to use the theory of λ-matrix. In this paper, we give another method. The method have the following peculiarity: ①The proof is simple and not dependent on the theory of λ-matrix; ②The calculation of Jordan canonical matrix and transition matrix are easy; ③The method can programing and be suitable for computer.

关 键 词：特征多项式 约当标准形 过渡矩阵 

分 类 号：O151.21[理学—数学]