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...

Full description

Saved in:

Bibliographic Details
Published in:	Linear algebra and its applications Vol. 430; no. 5; pp. 1626 - 1640
Main Authors:	Wang, Qing-Wen, Li, Cheng-Kun
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier Inc 01.03.2009 Elsevier
Subjects:	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
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!