The solution of a generalized Sylvester quaternion matrix equation and its application

DOI10.1007/s00006-017-0782-2zbMath1382.15024OpenAlexW2607422923MaRDI QIDQ1695159

Guang-Jing Song, Shao-Wen Yu

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-017-0782-2

zbMATH Keywords

Moore-Penrose inversequaternion matrix equationgeneralized Sylvester matrix equation\(\eta \)-Hermitian matrix

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) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C ⋮ The least squares solution with the minimal norm to a system of mixed generalized Sylvester reduced biquaternion tensor equations ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity ⋮ Cramer's rule for a system of quaternion matrix equations with applications

Uses Software

• Forensically

Cites Work

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