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广义酉矩阵与广义Hermite矩阵的张量积与诱导矩阵
引用本文:侯谦民,刘修生.广义酉矩阵与广义Hermite矩阵的张量积与诱导矩阵[J].数学杂志,2007,27(5):583-587.
作者姓名:侯谦民  刘修生
作者单位:1. 湖北经济管理大学公共课部,湖北,武汉,430074
2. 黄石理工学院数理学院,湖北,黄石,435003
摘    要:本文研究了有限个广义酉矩阵与广义(反)Hermite矩阵的张量积和诱导矩阵.利用矩阵的张量积和诱导矩阵的性质,得到了它的张量积和诱导矩阵仍为广义酉矩阵与广义(反)Hermite矩阵.

关 键 词:广义酉矩阵  广义Hermite矩阵  张量积  诱导矩阵
文章编号:0255-7797(2007)05-0583-05
修稿时间:2003-08-202005-12-19

THE TENSOR PRODUCTS AND THE INDUCED MATRIX ABOUT GENERAILZED UNITARY MATRICES AND GENERAILZED HERMITE MATRICES
HOU Qian-min,LIU Xiu-sheng.THE TENSOR PRODUCTS AND THE INDUCED MATRIX ABOUT GENERAILZED UNITARY MATRICES AND GENERAILZED HERMITE MATRICES[J].Journal of Mathematics,2007,27(5):583-587.
Authors:HOU Qian-min  LIU Xiu-sheng
Institution:1. Dept. of Fundamental Courses ,Hubei University of Economics and Management, Wuhan 430074,China;2. School of Math. and Physics, Huangshi Institute of Technology, Huangshi 435003, China
Abstract:In this paper, we study the tensor product and induced matrix of the finite generalized unitary matrixes and generalized (oblique) Hermite matrices. By means of the properties of matrix tensor product and induced matrices, we obtain that their tensor product and induced matrix are the generalized unitary matrices and generalized (oblique) Hermite matrices.
Keywords:generalized unitary matrix  generalized (oblique) Hermite matrix  tensor product  induced matrix
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