成都理工大学学报（自然科学版）
成都理工大學學報（自然科學版）
성도리공대학학보（자연과학판）
JOURNAL OF CHENGDU UNIVERSITY OF TECHNOLOGY(SCIENCE & TECHNOLOGY EDITION)
2009年
4期
443-446
,共4页
Hermite矩阵%反Hermite矩阵%双重Hermite矩阵
Hermite矩陣%反Hermite矩陣%雙重Hermite矩陣
Hermite구진%반Hermite구진%쌍중Hermite구진
Hermite matrix%anti-Hermite matrix%double Hermite matrix
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.
通過對Hermite矩陣的研究,給齣瞭次Hermite矩陣、反Hermite矩陣、Hermite矩陣、反次Hermite矩陣、雙重Hermite矩陣、反雙重Hermite矩陣的基本概唸,得到瞭雙重Hermite矩陣、反雙重Hermite矩陣的線性運算的封閉性,判定次Hermite矩陣的充要條件,以及雙重Hermite矩陣、反雙重Hermite矩陣之積是雙重Hermite矩陣的充要條件;還得齣瞭反雙重Hermite矩陣的主、次對角線元素的特徵等.
통과대Hermite구진적연구,급출료차Hermite구진、반Hermite구진、Hermite구진、반차Hermite구진、쌍중Hermite구진、반쌍중Hermite구진적기본개념,득도료쌍중Hermite구진、반쌍중Hermite구진적선성운산적봉폐성,판정차Hermite구진적충요조건,이급쌍중Hermite구진、반쌍중Hermite구진지적시쌍중Hermite구진적충요조건;환득출료반쌍중Hermite구진적주、차대각선원소적특정등.
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.
