A System of Matrix Equations over the Quaternion Algebra with Applications

DOI10.1142/S100538671700013XzbMath1375.15027MaRDI QIDQ5267953

Qing-Wen Wang, Xiangrong Nie, Yang Zhang

Publication date: 13 June 2017

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

numerical examplepermutation matrixquaternion algebrasystem of matrix equationsreducible matrixelectronic network

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (9)

An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ The consistency and the general common solution to some quaternion matrix equations ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ A system of quaternary coupled Sylvester-type real quaternion matrix equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Reducible solution to a quaternion tensor equation ⋮ Determinantal representations of the solutions to systems of generalized Sylvester equations ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations

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