In canonical decomposition, which is a subset of compatibility decomposition, formatting information is preserved.
规范化分解是兼容性分解的子集，在规范分解中，会保留格式设置信息。
It is demonstrated by an example that the proposed algorithm can find all canonical groups without triangle decomposition and heightens the precision and decreases the complexities of computation.
实例验证表明：该算法不通过三角分解就能够找出所有的规范模糊组，提高了计算精度，同时也降低了计算复杂度。
Perturbation analysis of the canonical subspaces: This paper gives the least perturbation bound of the unitary factor on the unitary decomposition.
标准子空间的扰动分析：本文给出了矩阵的酉分解中酉因子的最小扰动界。
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。
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。
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。
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