| 四元数矩阵方程AX+YA=C的两种最佳逼近解 |
| |
| 引用本文： | 黄敬频. 四元数矩阵方程AX+YA=C的两种最佳逼近解[J]. 纯粹数学与应用数学, 2004, 20(2): 109-115 |
| |
| 作者姓名： | 黄敬频 |
| |
| 作者单位： | 广西民族学院数学与计算机科学系,南宁,530006 |
| |
| 基金项目： | 广西民族学院校科研和教改项目 |
| |
| 摘 要： | 利用四元数矩阵的广义Frobenius范数建立一个关于四元数矩阵的实函数,并讨论了它的极值问题,然后在四元数矩阵方程AX YA=C的一般解和自共轭解集合中分别导出了与给定相同类型矩阵的最佳逼近解的表达式.
|
| 关 键 词： | 四元数矩阵 矩阵方程 广义Frobenius范数 最佳逼近 |
| 文章编号： | 1008-5513(2004)02-00109-07 |
| 修稿时间： | 2003-01-21 |
Two categories solution of the quaternion matrix equation AX+YA=C and its optimal approximation |
| |
| HUANG Jing-pin. Two categories solution of the quaternion matrix equation AX+YA=C and its optimal approximation[J]. Pure and Applied Mathematics, 2004, 20(2): 109-115 |
| |
| Authors: | HUANG Jing-pin |
| |
| Abstract: | By using generalized Frobenius norm of the quaternion matrices, a real-valued function is established for the quaternion matrices, and discusses minimal value problem on its. Based on this, in the general solutions and the self-conjugate solutions set of the quaternion matrix equation AX+YA=C, the expression of the optimal approximation solution to given matrices for type equivalent is derived. |
| |
| Keywords: | quaternion matrix matrix equation generalized Frobenius norm optimal approximation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
