实矩阵次合同的条件  

Conditions on the Subcongruence of Real Matrices

作　　者：刘可为[1] LIU Kewei(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2023年第6期71-76,共6页College Mathematics

基　　金：安徽省教学研究项目(2022jyxm1236);合肥工业大学课程思政示范课程项目(KCSZ2021047)

摘　　要：刻画了矩阵次合同与合同之间的等价关系,在此基础之上,给出了实矩阵次合同的充要条件.最后通过例子说明所得结果的有效性.The equivalence relation between subcongruence and congruence is characterized.Furthermore,necessary and sufficient conditions on the subcongruence of real matrices are given.Finally,some examples are given to demonstrate the effectiveness of the obtained results.

关 键 词：次转置矩阵 次对称矩阵 次特征值 次合同 

分 类 号：O151.21[理学—数学]