| 由两个右特征对构造三对角四元数矩阵 |
| |
| 引用本文： | 马陆陆,黄敬频.由两个右特征对构造三对角四元数矩阵[J].数学的实践与认识,2012,42(12):209-214. |
| |
| 作者姓名： | 马陆陆 黄敬频 |
| |
| 作者单位： | 广西民族大学数学与计算机科学学院,广西南宁,530006 |
| |
| 摘 要： | 讨论由两个右特征对构造三对角四元数矩阵的数值求解问题,给出了该问题有解的充要条件,以及解的具体表达式.在已知两个特征对的条件下,进一步给出了三对角自共轭、三对角正定四元数矩阵的存在条件及计算方法.
|
| 关 键 词： | 三对角四元数矩阵 右特征对 自共轭 正定 |
On the Construction of Tridiagonal Quaternion Matrices From two Right Eigenpairs |
| |
| MA Lu-lu
,
HUANG Jing-pin.On the Construction of Tridiagonal Quaternion Matrices From two Right Eigenpairs[J].Mathematics in Practice and Theory,2012,42(12):209-214. |
| |
| Authors: | MA Lu-lu HUANG Jing-pin |
| |
| Institution: | (College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
| |
| Abstract: | In this paper,we investigate the problem of the construction of tridiagonal quaternion matrix from two right eigenpairs,and necessary and sufficient conditions for the existence of a solution of the problem,and the expressions of the solution are given.Moreover,the existence conditions and calculation method for tridiagonal self-conjugate and tridiagonal positive definite quaternion matrix are also derived. |
| |
| Keywords: | tridiagonal quaternion matrix right eigenpairs self-conjugate positive definite |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
