Abstract:
The general solution of the system of quaternion matrix equations A1X =C1, XB2 =C2, A3X =C3, XB4 =C4 is considered. A necessary and sufficient, condition for the existence and for the representation of the general solution of such a system is given. As applications, necessary and sufficient conditions for the existence and the expressions of the bisymmetric solutions for the matrix equation XB =C; is given centrosymmetric solution of A1X =C1XB2 =C2 and the persymmetric solution to A1X =C1 A3X =C3 are given, respectively, Moreover 1 some auxiliary results on other systems of quaternion matrix equations are also mentioned.
Page(s):
1-11
DOI:
DOI not available
Published:
Journal: Journal of Natural Sciences and mathematics, Volume: 46, Issue: 1--2, Year: 2006