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.
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。
2
Based on this result, the spectral decomposition theorems are proved by using permutation canonical forms of nonnegative matrices.
在此基础上，利用非负方阵的置换标准形证明了谱分解定理。
3
This paper describes the orthogonal matrix canonical forms for matrices and the orthogonal matrix decomposition form.