拟正交变换与拟对合变换  

The Quasi-orthogonal Transformation and Quasi-convolution Transformation

作　　者：袁晖坪[1] 

机构地区：[1]渝州大学数学与计算机科学系,重庆400033

出　　处：《渝州大学学报》2001年第1期1-5,共5页

基　　金：重庆市教委科学基金资助项目

摘　　要：张禾瑞、郝新教授及笔者研究了欧氏空间的正交变换、对称变换、反对称变换与对合变换及其之间的联系 ,邹本强先生研究了反对称变换、反对合变换与正交变换之间的联系 ;利用内积给出了拟正交变换、拟对合变换与拟正交基的概念 ,研究了它们的性质及其之间的联系 ,推广了正交变换、对合变换、正交基的概念以及张禾瑞、郝新、邹本强的相关结果。Prof. Zhang Herui, Hao_bing Xing and the author have studied the orthogonal transformation,symmetry transformation,anti_symmetry transformation and convolution transformation of the Euclidean space and the relationships between them.Zou Ben_qiang has studied anti_symmetry transformation,anti_convolution transformation and orthogonal transformation of the Euclidean space and the relationships between them.The concepts of quasi_orthogonal transformation,quasi_convolution transformation and quasi_orthogonal basis are given by using inner proctuct,their properties and relation ships between them are studied,the concepts of orthogonal transformation,convolution transformation and orthogonal basis,and the related results of Zhang Herui,Hao Bing xing and Zou Benqiang are generaliyed.

关 键 词：内积 拟正交变换 拟对合变换 拟正交基 欧氏空间 正交矩阵 特征向量 线性代数 

分 类 号：O151.21[理学—数学]