Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity

DOI10.1155/2019/3258349zbMath1435.15022OpenAlexW2975770020MaRDI QIDQ2298285

Xin Liu, Huajun Huang, Zhuo-Heng He

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/3258349

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (4)

On the general solutions to some systems of quaternion matrix equations ⋮ Matrices over Quaternion Algebras ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ A quaternion matrix equation with two different restrictions

Cites Work

• On the unitary diagonalisation of a special class of quaternion matrices
• A system of generalized Sylvester quaternion matrix equations and its applications
• An iterative algorithm for least squares problem in quaternionic quantum theory
• The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity
• Determinantal representations of solutions to systems of quaternion matrix equations
• The solution of a generalized Sylvester quaternion matrix equation and its application
• Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity
• Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications
• The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity
• A system of coupled quaternion matrix equations with seven unknowns and its applications
• Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations
• The \(\eta \)-anti-Hermitian solution to some classic matrix equations
• The least squares η-Hermitian problems of quaternion matrix equation AHXA + BHYB=C
• A generalization of the complex Autonne–Takagi factorization to quaternion matrices
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Complex random vectors and ICA models: identifiability, uniqueness, and separability
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
• A real quaternion matrix equation with applications
• Unnamed Item
• Unnamed Item

This page was built for publication: Real representation approach to quaternion matrix equation involving \(\varphi \)-Hermicity