A system of generalized Sylvester quaternion matrix equations and its applications
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Publication:668444
DOI10.1016/j.amc.2015.09.074zbMath1410.15037OpenAlexW2196717068MaRDI QIDQ668444
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.074
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Related Items (15)
Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ A note on the solvability for generalized Sylvester equations ⋮ On the general solutions to some systems of quaternion matrix equations ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ A system of coupled quaternion matrix equations with seven unknowns and its applications ⋮ The \(\eta \)-anti-Hermitian solution to some classic matrix equations ⋮ The solution of a generalized Sylvester quaternion matrix equation and its application ⋮ Matrix LSQR algorithm for structured solutions to quaternionic least squares problem ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Unnamed Item ⋮ On the split quaternion matrix equation \(AX=B\) ⋮ Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule
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