摘要
对于四元数矩阵方程组AXA^(η*)+BY B^(η*)=E,CYC^(η*)+DZD^(η*)=F,首先运用4个矩阵的奇异值分解,给出四元数矩阵方程组有η-Hermitian解的充要条件;然后,利用该充要条件给出矩阵方程组η-Hermitian解的表达式.
This paper derives a necessary and sufficient condition for the existence of the ^η-Hermitian solutions to the quaternion matrix equations AXA^η＊ ＋ BYB^η＊= E, CYC^η＊ ＋ DZD^η＊ = F by using the singular value decomposition of four matrices, and gives an expression of the η-Hermitian solutions to the quaternion matrix equations.
出处
《上海大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期606-610,共5页
Journal of Shanghai University:Natural Science Edition
基金
国家自然科学基金资助项目(11171205)
上海市教委创新基金资助项目(13ZZ080)
关键词
矩阵分解
秩
四元数矩阵
matrix decomposition
rank
quaternion matrix
