双重Hermite矩阵的性质  

The character of double Hermite matrix

作　　者：杜鹃[1] 李雪琴[1] 范啸涛[1] 

机构地区：[1]成都理工大学信息管理学院,成都610059

出　　处：《成都理工大学学报（自然科学版）》2009年第4期443-446,共4页Journal of Chengdu University of Technology: Science & Technology Edition

基　　金：四川省教育厅自然科学重点资助项目(08ZA144)

摘　　要：通过对Hermite矩阵的研究,给出了次Hermite矩阵、反Hermite矩阵、Hermite矩阵、反次Hermite矩阵、双重Hermite矩阵、反双重Hermite矩阵的基本概念,得到了双重Hermite矩阵、反双重Hermite矩阵的线性运算的封闭性,判定次Hermite矩阵的充要条件,以及双重Hermite矩阵、反双重Hermite矩阵之积是双重Hermite矩阵的充要条件;还得出了反双重Hermite矩阵的主、次对角线元素的特征等。Through researching the double Hermite matrix, this paper gives the basic concept of sub- Hermite matrix, anti-Hermite matrix, Hermite matrix, double Hermite matrix and anti-double Hermite matrix. Otherwise, it gives some conclusions, for example, the properties of closed linear operation of double Hermite matrix and anti-double Hermite matrix. It judges the full essential condition of sub-Hermite matrix and that the multiplication of double Hermite matrix and anti-double Hermite matrix is the full essential condition of double Hermite matrix. The characteristics of the double Hermite matrix and anti-double Hermite matrix＇s main diagonal elements and subordinate diagonal elements are also obtained.

关 键 词：HERMITE矩阵 反Hermite矩阵 双重Hermite矩阵 

分 类 号：O151.21[理学—数学]