关于k-广义酉矩阵  

ON THE k-GENERALIZED UNITARY MATRICES

作　　者：袁晖坪[1] 李庆玉[1] 郭伟[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《数学杂志》2007年第4期471-475,共5页Journal of Mathematics

基　　金：重庆市自然科学基金资助项目(CSTS2005BB0243);重庆市科技攻关资助项目(CSTC2006EA0005)

摘　　要：本文研究了k-广义酉矩阵的性质及其与酉矩阵、辛矩阵、Householder矩阵之间的联系,取得了许多新的结果,推广了酉矩阵及Householder矩阵的相应结果,特别将正交矩阵的广义Cayley分解推广到了广义酉矩阵上;并将各类酉矩阵及辛矩阵统一了起来.In this paper, the properties of κ-generalized unitary matrix and relations between it and unitary matrix, symplectic matrix, Householder matrix are discussed, and many new results are obtained. Moreover, the corresponding results on relations among unitary matrix and Householder matrix are popularized, especially the Cayley decomposition of orthogonal matrix is extended to generalized unitary matrix , and various kinds of the unitary matrices and symplectic matrices are unified.

关 键 词：κ-广义酉矩阵 广义酉矩阵 辛矩阵 初等反射矩阵 

分 类 号：O151.21[理学—数学]