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.
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页码：113 / 118
页数：6
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