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矩阵的次O-合同 |
O-Subcongruent of Matices |
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DOI:10.3969/j.issn.1671-5322.2007.03.016 |
中文关键词: 全转置 次转置 次O-合同 次正交矩阵 |
英文关键词: full-transposed sub-transposed O-subcongruent sub-orthogonal matrix |
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中文摘要: |
结合次合同、O-合同矩阵等概念,提出新的定义次O-合同.证明了次O- 合同是一种等价关系,同时给出了矩阵A、B次O-合同的充分必要条件,然后利用次正交矩阵的性质得到次O-合同矩阵的行列式之间的关系. |
英文摘要: |
In this paper,O-subcongruent of matices was introduced by the concepts of sub-congruent and O-congruent.The fact that O-subcongruent is a kind of equivalent relation was proved.Meanwhile,this paper also gave some necessary and sufficient conditions for O-subcongruent of matices.Then by the properties of sub-orthogonal matrix,the relations of their determinant were gained. |
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