A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices

DOI10.1007/S00006-024-01316-ZMaRDI QIDQ6494860

Unnamed Author, Xiaochen Liu, Ying Li, Wenxv Ding

Publication date: 30 April 2024

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Clifford algebras, spinors (15A66)

Cites Work

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• Generalized octonion electrodynamics
• Analysis and control of Boolean networks. A semi-tensor product approach.
• Matrix representations of octonions and their applications
• Octonion quantum chromodynamics
• A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices
• Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\)
• A survey on semi-tensor product of matrices
• The octonions
• Octonion generalization of Pauli and Dirac matrices
• ${\cal H}$-Representation and Applications to Generalized Lyapunov Equations and Linear Stochastic Systems

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