An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E

DOI10.1080/00207160.2020.1821001zbMath1484.65080OpenAlexW3084342854MaRDI QIDQ5031276

Musheng Wei, Ying Li, Fengxia Zhang, Jianli Zhao

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1821001

zbMATH Keywords

least squares solutionquaternion matrix equationreal representation matrix\( \eta \)-anti-Hermitian quaternion matrix\( \eta \)-Hermitian quaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Related Items (6)

Solving quaternion linear system \(AXB=E\) based on semi-tensor product of quaternion matrices ⋮ A new image restoration model associated with special elliptic quaternionic least-squares solutions based on LabVIEW ⋮ Efficient iterative method for generalized Sylvester quaternion tensor equation ⋮ New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems ⋮ A real structure-preserving algorithm based on the quaternion QR decomposition for the quaternion equality constrained least squares problem ⋮ Solving the least squares (anti)-Hermitian solution for quaternion linear systems

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