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。
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。
This paper describes the orthogonal matrix canonical forms for matrices and the orthogonal matrix decomposition form.
给出了正交矩阵的相似标准形及正交矩阵的分解形式。
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