广义正交矩阵的性质  

Properties of Generalized Orthogonal Matrices

作　　者：孟姗姗 计东海 MENG Shanshan;JI Donghai(School of Science,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2023年第1期154-158,共5页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11571085)。

摘　　要：为了推广正交矩阵理论,利用赋范线性空间中的广义正交性,引入了广义正交矩阵的概念,并对几类广义正交矩阵及其性质进行了讨论,给出了广义Birkhoff正交矩阵可逆的充分条件。In order to generalize the orthogonal matrix theory,using the generalized orthogonality in normed linear space,the concept of generalized orthogonal matrix is introduced.Several kinds of generalized orthogonal matrices and their properties are discussed,and the sufficient conditions for the invertibility of generalized Birkhoff orthogonal matrices are given.

关 键 词：广义正交矩阵 Birkhoff正交 等腰正交 

分 类 号：O177.3[理学—数学]