Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/solvability-of-a-quaternion-matrix-equation-m5n3eD62s0
References (6)
-
Hua Dai (1990)
On the symmetric solutions of linear matrix equationsLinear Algebra and Its Application, 131
-
Liping Huang (1993)
Transformation theroems of quaternion matrics and their applicationsNortheaster Mathematical, 9
-
Wajin Zhuang (1987)
The quaternion matrix equationActa Mathematica Sinica, 30
-
K. W. E. Chu (1989)
Symmetric solutions of linear matrix equations by matrix decompositionsLinear Algebra and Its Application, 119
-
Liping Huang (1997)
The solvability of matrix equation AXB+CYD=E over a ringAdvances in Mathematics, 26
-
Liping Huang (1996)
The matrix equation AXB−GXD=E over the quaternion fieldLinear Algebra and Its Application, 234
- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 1005-1031
- eISSN
- 1993-0445
- DOI
- 10.1007/s11766-996-0015-2
- Publisher site
- See Article on Publisher Site
Abstract
This paper discusses the solvability of quaternion matrix equation A*X*B* ± B X A=D and obtains it’s general explicit solutions in terms of A,B,D and their Moore-Penrose inverses.
Journal
Applied Mathematics-A Journal of Chinese Universities – Springer Journals
Published: Jun 26, 1996