若尔当

若尔当

1

讨论相似矩阵的一些标准型，给出一般域F上矩阵的一种有理标准形式，提供它变到若尔当标准型的相似变换。

This paper discusses some canonical forms of similar matrices in a general field F , gives a kind of rational forms in the field and a similar transformation from it to Jordan form .
2

给出了每一个n级复数矩阵A都与一个若尔当矩阵相似，且这个若尔当形矩阵除去其中若尔当块的排列次序外是被矩阵A唯一决定的.这个定理的一个新证法。

This paper presents a new proof to the theorem : every n complex matrix A is similar to Jordan matrix , and this Jordan matrix is only determined by the matrix A except for the topology order of Jordan block .
3

矩阵的若尔当标准形与有理标准形的关系探究

Probing into Relation of Jordan and Rational Canonical Form of Matrix