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In this paper, we discuss Hermitian solutions of split quaternion matrix equation $$AXB+CXD=E,$$AXB+CXD=E, where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E are known split quaternion matrices with… Click to show full abstract
In this paper, we discuss Hermitian solutions of split quaternion matrix equation $$AXB+CXD=E,$$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.
Keywords:
split quaternion;
axb;
hermitian solutions;
axb cxd
Journal Title: Advances in Applied Clifford Algebras
Year Published: 2017
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Journal Title: Advances in Applied Clifford Algebras
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!