| 对称矩阵与正交矩阵的推广及其应用 |
| |
| 引用本文： | 郭伟.对称矩阵与正交矩阵的推广及其应用[J].重庆工商大学学报(自然科学版),2011,28(5):449-452. |
| |
| 作者姓名： | 郭伟 |
| |
| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
| |
| 摘 要： | 给出O-广义（反）对称矩阵、O-广义正交矩阵的定义,研究了它们的性质及两者之间的关系,特别将正交矩阵的广义Gayley分解推广到了O-广义正交矩阵上;利用两者的关系给出了一种矩阵方程的解及解的表示式,获得了许多新结果.
|
| 关 键 词： | 全转置矩阵 O-对称矩阵 O-广义正交矩阵 矩阵方程 解 |
A New Generalization of the Symmetric Matrix and Orthogonal Matrix and Their Application |
| |
| GUO Wei.A New Generalization of the Symmetric Matrix and Orthogonal Matrix and Their Application[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2011,28(5):449-452. |
| |
| Authors: | GUO Wei |
| |
| Abstract: | In this paper,the o-generalized（anti） symmetric matrix and o-generalized orthogonal matrix are defined,and their properties and relations are discussed,especially,the generalized Cayley decomposition of orthogonal matrix is extended to o-generalized orthogonal matrix;and by using the relation of the two matrices,the solution of a matrix equation and the expression of the solution are given,and many new results are obtained. |
| |
| Keywords: | full-transposed matrix o-generalized symmetric matrix o-generalized orthogonal matrix matrix equation solution |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
