准正交变换的三种等价定义  

Three Equivalent Definitions and the Determination of Quasi-orthogonal Transform

作　　者：郭华[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2011年第4期360-362,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：重庆市教委科学资助项目(KJ100726)

摘　　要：从正交变换的定义形式以及几何意义上推广了正交变换的定义,并证明了三种推广定义的等价性,将推广后的线性变换称为准正交变换.The definition of orthogonal transform is extended in the form of definition of orthogonal trans form as well as in the geometric significance,and the equivalence of the three generalization definitions is proved.The generalized linear transform is called quasi-orthogonal transform.

关 键 词：正交变换 准正交变换 线性变换 欧氏空间 内积 

分 类 号：O177.3[理学—数学]