Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
A new solvable condition for a pair of generalized Sylvester equations.
(English)
[J] Electron. J. Linear Algebra 18, 289-301, electronic only (2009). ISSN 1081-3810/e

Summary: A necessary and sufficient condition is given for the quaternion matrix equations $A_i X + Y B_i = C_i$ $(i=1,2)$ to have a pair of common solutions $X$ and $Y$. As a consequence, the results partially answer a question posed by {\it Y. H. Liu} [Comput. Math. Appl. 52, No.~6--7, 861--872 (2006; Zbl 1129.15009)].
MSC 2000:
*15A24 Matrix equations
15A33 Matrices over special rings
15A09 Matrix inversion
15A03 Vector spaces

Keywords: quaternion matrix equation; generalized Sylvester equation; generalized inverse; minimal rank; maximal rank

Citations: Zbl 1129.15009

Highlights
Master Server

Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences