文章摘要
矩阵的次O-合同
O-Subcongruent of Matices
  
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
基金项目:
作者单位
张艳 重庆大学数理学院信息与计算科学系重庆400044 
郭东溪 山东省济宁市育才中学数学组山东272000 
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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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