摘要
本文利用四元数矩阵的奇异值分解给出了四元数矩阵方程AX +YA =C分别存在一般解、自共轭解。
Using the singular value decomposition of quaternion matrices, this paper gives necessary and sufficient conditions for quaternion matrix equation AX+YA=C to have the general solution, the self-conjugate solution and the positive definite self-conjugate solution, and their general form of the solutions has been provided.
出处
《哈尔滨师范大学自然科学学报》
CAS
2004年第1期31-34,共4页
Natural Science Journal of Harbin Normal University
基金
广西民族学院科研基金资助项目 (0 2SJX0 0 0 8)
关键词
四元数体
矩阵方程
奇异值分解
正定自共轭矩阵
Quaternion field
Matrix equation
Singular value decomposition
Self-conjugate matrix
Positive difinite self-conjugate matrix
