摘要
本文回顾矩阵奇异值分解的历史进程,综述实四元数矩阵奇异值分解的某些应用,并提出这方面待继续研究的若干专题。
This paper gives a survey on the history of the singular value decomposition for a matrix, summarizes some applications of the singular value decomposition for a real quaternion matrix, and advances some special topics to be researched in this respect.
关键词
实四元数矩阵
奇异值分解
行列式
特征值
矩阵方程
广义逆
Real quaternion matrix, Singular value decomposition Determinant, Eigenvalue, Matrix equation, Generalized inverse