Ranks and the least-norm of the general solution to a system of quaternion matrix equations

We in this paper first establish a new expression of the general solution to the consistent system of linear quaternion matrix equations A 1 X 1 = C 1 , A 2 X 2 = C 2 , A 3 X 1 B 1 + A 4 X 2 B 2 = C 3 , which was investigated recently [Q.W. Wang, H.X. Chang, C.Y. Lin, P-(skew)symmetric common soluti...

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Vydané v:	Linear algebra and its applications Ročník 430; číslo 5; s. 1626 - 1640
Hlavní autori:	Wang, Qing-Wen, Li, Cheng-Kun
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Inc 01.03.2009 Elsevier
Predmet:	Algebra Exact sciences and technology Least-norm Linear and multilinear algebra, matrix theory Linear matrix expression Mathematics Maximal rank Minimal rank Moore–Penrose inverse Sciences and techniques of general use System of quaternion matrix equations System of quaternion matrix equations 15A24 Moore–Penrose inverse Linear matrix expression 15A33 Minimal rank 15A03 Least-norm 15A60 Maximal rank 15A09 Antisymmetric matrix Operator equation Moore Penrose inverse Quaternion Normed space Generalized inverse Moore-Penrose inverse Linear system Matrix inversion Ring Matrix equation Normed algebra
ISSN:	0024-3795
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