QUATERNION GENERALIZED SINGULAR VALUE DECOMPOSITION AND ITS APPLICATIONS

被引：0
|
作者：
Jiang Tongsong1 Liu Yonghui2 Wei Musheng21 Dept. of Math.
Dept. of Comput. Sci. and Tech.
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2006年 / 01期
关键词：
QGSVD; quaternion matrix equation; Roth’s theorem;
D O I：
暂无
中图分类号：
O241.6 [线性代数的计算方法];
学科分类号：
070102 ;
摘要：
. This paper derives a theorem of generalized singular value decomposition of quaternion matrices(QGSVD),studies the solution of general quaternion matrix equation AXB-CYD=E,and obtains quaternionic Roth’s theorem.This paper also suggests sufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation.
引用
收藏
页码：113 / 118
页数：6
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