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矩阵的次O-合同
引用本文:张艳,郭东溪.矩阵的次O-合同[J].盐城工学院学报(自然科学版),2007,20(3):54-56.
作者姓名:张艳  郭东溪
作者单位:1. 重庆大学,数理学院信息与计算科学系,重庆,400044
2. 山东省济宁市育才中学数学组,山东,272000
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。

关 键 词:全转置  次转置  次O-合同  次正交矩阵
文章编号:1671-5322(2007)03-0054-03
修稿时间:2007-06-13

O-Subcongruent of Matices
ZHANG Yan,GUO Dong-xi.O-Subcongruent of Matices[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2007,20(3):54-56.
Authors:ZHANG Yan  GUO Dong-xi
Institution:College of Mathmatics and Science , Chongqing University, Chongqing 400044,China;Yucai High School, Shandong Jining 272000,China
Abstract: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.
Keywords:full-transposed  sub-transposed  O-subcongruent  sub-orthogonal matrix
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