关于实对称矩阵的惯性定理  

Inertial Theorem of Real Symmetric Matrix

作　　者：徐丽媛[1] 孟道骥[2] 

机构地区：[1]白城师范学院数学系,吉林白城137000 [2]南开大学数学科学学院,天津300071

出　　处：《常熟理工学院学报》2007年第10期1-6,共6页Journal of Changshu Institute of Technology

基　　金：国家自然科学基金(No.10571119)资助项目

摘　　要：从实对称矩阵与实二次型的联系、实对称矩阵与实线性空间的对称双线性函数的联系以及将实对称矩阵作为研究主体这三个角度,介绍实对称矩阵的惯性定理的三种证明,以期加深对实对称矩阵的惯性定理的理解.In this paper, the inertial theorem of real symmetric matrix has been proved by three methods in three aspects： the relationship between real symmetric matrix and real quadratic form, the relationship between real symmetric matrix and symmetric bilinear function of real linear space. The real symmetric matrix was used as the major part to prove the theorem, we hope this paper can help people understand inertial theorem more clearly.

关 键 词：实对称矩阵 对称双线性函数 二次型 惯性定理 

分 类 号：O151.2[理学—数学]