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On Hermitian Solutions of the Split Quaternion Matrix Equation $$AXB+CXD=E$$.
- Source :
- Advances in Applied Clifford Algebras; Dec2017, Vol. 27 Issue 4, p3235-3252, 18p
- Publication Year :
- 2017
-
Abstract
- In this paper, we discuss Hermitian solutions of split quaternion matrix equation $$AXB+CXD=E,$$ where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E are known split quaternion matrices with suitable size. The objective of this paper is to establish a necessary and sufficient condition for the existence of a solution and a solution formulas. Moreover, we provide numerical algorithms and numerical examples to exemplify the results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01887009
- Volume :
- 27
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Advances in Applied Clifford Algebras
- Publication Type :
- Academic Journal
- Accession number :
- 125951359
- Full Text :
- https://doi.org/10.1007/s00006-017-0806-y